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1,053,000

1,053,000 is a composite number, even.

This number doesn't have a permanent NumberWiki page yet — what you see below is computed live. Pages get added to the permanent index when they're notable (years, primes, curated, etc.).

1,053,000 (one million fifty-three thousand) is an even 7-digit number. It is a composite number with 160 divisors, and factors as 2³ × 3⁴ × 5³ × 13. Its proper divisors sum to 2,910,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101148.

Abundant Number Gapful Number Harshad / Niven Odious Number Pernicious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
3,501
Square (n²)
1,108,809,000,000
Cube (n³)
1,167,575,877,000,000,000
Divisor count
160
σ(n) — sum of divisors
3,963,960
φ(n) — Euler's totient
259,200
Sum of prime factors
46

Primality

Prime factorization: 2 3 × 3 4 × 5 3 × 13

Nearest primes: 1,052,993 (−7) · 1,053,007 (+7)

Divisors & multiples

All divisors (160)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 9 · 10 · 12 · 13 · 15 · 18 · 20 · 24 · 25 · 26 · 27 · 30 · 36 · 39 · 40 · 45 · 50 · 52 · 54 · 60 · 65 · 72 · 75 · 78 · 81 · 90 · 100 · 104 · 108 · 117 · 120 · 125 · 130 · 135 · 150 · 156 · 162 · 180 · 195 · 200 · 216 · 225 · 234 · 250 · 260 · 270 · 300 · 312 · 324 · 325 · 351 · 360 · 375 · 390 · 405 · 450 · 468 · 500 · 520 · 540 · 585 · 600 · 648 · 650 · 675 · 702 · 750 · 780 · 810 · 900 · 936 · 975 · 1000 · 1053 · 1080 · 1125 · 1170 · 1300 · 1350 · 1404 · 1500 · 1560 · 1620 · 1625 · 1755 · 1800 · 1950 · 2025 · 2106 · 2250 · 2340 · 2600 · 2700 · 2808 · 2925 · 3000 · 3240 · 3250 · 3375 · 3510 · 3900 · 4050 · 4212 · 4500 · 4680 · 4875 · 5265 · 5400 · 5850 · 6500 · 6750 · 7020 · 7800 · 8100 · 8424 · 8775 · 9000 · 9750 · 10125 · 10530 · 11700 · 13000 · 13500 · 14040 · 14625 · 16200 · 17550 · 19500 · 20250 · 21060 · 23400 · 26325 · 27000 · 29250 · 35100 · 39000 · 40500 · 42120 · 43875 · 52650 · 58500 · 70200 · 81000 · 87750 · 105300 · 117000 · 131625 · 175500 · 210600 · 263250 · 351000 · 526500 (half) · 1053000
Aliquot sum (sum of proper divisors): 2,910,960
Factor pairs (a × b = 1,053,000)
1 × 1053000
2 × 526500
3 × 351000
4 × 263250
5 × 210600
6 × 175500
8 × 131625
9 × 117000
10 × 105300
12 × 87750
13 × 81000
15 × 70200
18 × 58500
20 × 52650
24 × 43875
25 × 42120
26 × 40500
27 × 39000
30 × 35100
36 × 29250
39 × 27000
40 × 26325
45 × 23400
50 × 21060
52 × 20250
54 × 19500
60 × 17550
65 × 16200
72 × 14625
75 × 14040
78 × 13500
81 × 13000
90 × 11700
100 × 10530
104 × 10125
108 × 9750
117 × 9000
120 × 8775
125 × 8424
130 × 8100
135 × 7800
150 × 7020
156 × 6750
162 × 6500
180 × 5850
195 × 5400
200 × 5265
216 × 4875
225 × 4680
234 × 4500
250 × 4212
260 × 4050
270 × 3900
300 × 3510
312 × 3375
324 × 3250
325 × 3240
351 × 3000
360 × 2925
375 × 2808
390 × 2700
405 × 2600
450 × 2340
468 × 2250
500 × 2106
520 × 2025
540 × 1950
585 × 1800
600 × 1755
648 × 1625
650 × 1620
675 × 1560
702 × 1500
750 × 1404
780 × 1350
810 × 1300
900 × 1170
936 × 1125
975 × 1080
1000 × 1053
First multiples
1,053,000 · 2,106,000 (double) · 3,159,000 · 4,212,000 · 5,265,000 · 6,318,000 · 7,371,000 · 8,424,000 · 9,477,000 · 10,530,000

Sums & aliquot sequence

As a sum of two squares: 18² + 1,026² = 270² + 990² = 378² + 954² = 630² + 810²
As consecutive integers: 350,999 + 351,000 + 351,001 210,598 + 210,599 + 210,600 + 210,601 + 210,602 116,996 + 116,997 + … + 117,004 80,994 + 80,995 + … + 81,006
Aliquot sequence: 1,053,000 2,910,960 7,650,864 16,135,808 18,486,052 16,353,144 29,072,856 47,885,784 72,894,936 110,661,864 165,992,856 250,968,744 491,252,736 918,950,128 874,329,192 1,717,904,088 3,108,299,112 — unresolved within range

Continued fraction of √n

√1,053,000 = [1026; (6, 2, 1, 227, 2, 1, 5, 1, 2, 227, 1, 2, 6, 2052)]

Period length 14 — the block in parentheses repeats forever.

Representations

In words
one million fifty-three thousand
Ordinal
1053000th
Binary
100000001000101001000
Octal
4010510
Hexadecimal
0x101148
Base64
EBFI
One's complement
4,293,914,295 (32-bit)
Scientific notation
1.053 × 10⁶
As a duration
1,053,000 s = 12 days, 4 hours, 30 minutes
In other bases
ternary (3) 1222111110000
quaternary (4) 10001011020
quinary (5) 232144000
senary (6) 34323000
septenary (7) 11643654
nonary (9) 1874400
undecimal (11) 65a153
duodecimal (12) 429460
tridecimal (13) 2ab3a0
tetradecimal (14) 1d5a64
pentadecimal (15) 15c000

As an angle

1,053,000° = 2,925 × 360°
0° ≈ 0 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼
Chinese
一百零五萬三千
Chinese (financial)
壹佰零伍萬參仟
In other modern scripts
Eastern Arabic ١٠٥٣٠٠٠ Devanagari १०५३००० Bengali ১০৫৩০০০ Tamil ௧௦௫௩௦௦௦ Thai ๑๐๕๓๐๐๐ Tibetan ༡༠༥༣༠༠༠ Khmer ១០៥៣០០០ Lao ໑໐໕໓໐໐໐ Burmese ၁၀၅၃၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1053000, here are decompositions:

  • 7 + 1052993 = 1053000
  • 19 + 1052981 = 1053000
  • 29 + 1052971 = 1053000
  • 61 + 1052939 = 1053000
  • 101 + 1052899 = 1053000
  • 103 + 1052897 = 1053000
  • 107 + 1052893 = 1053000
  • 127 + 1052873 = 1053000

Showing the first eight; more decompositions exist.

Hex color
#101148
RGB(16, 17, 72)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.17.72.

Address
0.16.17.72
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.17.72

Unspecified address (0.0.0.0/8) — "this network" placeholder.

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 5, 3000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3000-05-01 (DMMYYYY (Euro, single-digit day))
  • 3000-10-05 (MMDYYYY (US, single-digit day))
  • 3000-05-10 (DDMYYYY (Euro, single-digit month))
Possible US patent number

This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 1,053,000 and was likely granted around 1912.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.