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1,023,000

1,023,000 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.).

1,023,000 (one million twenty-three thousand) is an even 7-digit number. It is a composite number with 128 divisors, and factors as 2³ × 3 × 5³ × 11 × 31. Its proper divisors sum to 2,571,240, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF9C18.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Practical Number Self Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
6
Digit product
0
Digital root
6
Palindrome
No
Bit width
20 bits
Reversed
3,201
Square (n²)
1,046,529,000,000
Cube (n³)
1,070,599,167,000,000,000
Divisor count
128
σ(n) — sum of divisors
3,594,240
φ(n) — Euler's totient
240,000
Sum of prime factors
66

Primality

Prime factorization: 2 3 × 3 × 5 3 × 11 × 31

Nearest primes: 1,022,981 (−19) · 1,023,019 (+19)

Divisors & multiples

All divisors (128)
1 · 2 · 3 · 4 · 5 · 6 · 8 · 10 · 11 · 12 · 15 · 20 · 22 · 24 · 25 · 30 · 31 · 33 · 40 · 44 · 50 · 55 · 60 · 62 · 66 · 75 · 88 · 93 · 100 · 110 · 120 · 124 · 125 · 132 · 150 · 155 · 165 · 186 · 200 · 220 · 248 · 250 · 264 · 275 · 300 · 310 · 330 · 341 · 372 · 375 · 440 · 465 · 500 · 550 · 600 · 620 · 660 · 682 · 744 · 750 · 775 · 825 · 930 · 1000 · 1023 · 1100 · 1240 · 1320 · 1364 · 1375 · 1500 · 1550 · 1650 · 1705 · 1860 · 2046 · 2200 · 2325 · 2728 · 2750 · 3000 · 3100 · 3300 · 3410 · 3720 · 3875 · 4092 · 4125 · 4650 · 5115 · 5500 · 6200 · 6600 · 6820 · 7750 · 8184 · 8250 · 8525 · 9300 · 10230 · 11000 · 11625 · 13640 · 15500 · 16500 · 17050 · 18600 · 20460 · 23250 · 25575 · 31000 · 33000 · 34100 · 40920 · 42625 · 46500 · 51150 · 68200 · 85250 · 93000 · 102300 · 127875 · 170500 · 204600 · 255750 · 341000 · 511500 (half) · 1023000
Aliquot sum (sum of proper divisors): 2,571,240
Factor pairs (a × b = 1,023,000)
1 × 1023000
2 × 511500
3 × 341000
4 × 255750
5 × 204600
6 × 170500
8 × 127875
10 × 102300
11 × 93000
12 × 85250
15 × 68200
20 × 51150
22 × 46500
24 × 42625
25 × 40920
30 × 34100
31 × 33000
33 × 31000
40 × 25575
44 × 23250
50 × 20460
55 × 18600
60 × 17050
62 × 16500
66 × 15500
75 × 13640
88 × 11625
93 × 11000
100 × 10230
110 × 9300
120 × 8525
124 × 8250
125 × 8184
132 × 7750
150 × 6820
155 × 6600
165 × 6200
186 × 5500
200 × 5115
220 × 4650
248 × 4125
250 × 4092
264 × 3875
275 × 3720
300 × 3410
310 × 3300
330 × 3100
341 × 3000
372 × 2750
375 × 2728
440 × 2325
465 × 2200
500 × 2046
550 × 1860
600 × 1705
620 × 1650
660 × 1550
682 × 1500
744 × 1375
750 × 1364
775 × 1320
825 × 1240
930 × 1100
1000 × 1023
First multiples
1,023,000 · 2,046,000 (double) · 3,069,000 · 4,092,000 · 5,115,000 · 6,138,000 · 7,161,000 · 8,184,000 · 9,207,000 · 10,230,000

Sums & aliquot sequence

As consecutive integers: 340,999 + 341,000 + 341,001 204,598 + 204,599 + 204,600 + 204,601 + 204,602 92,995 + 92,996 + … + 93,005 68,193 + 68,194 + … + 68,207
Aliquot sequence: 1,023,000 2,571,240 6,247,320 12,760,680 26,427,480 58,762,920 117,526,200 279,948,360 559,897,080 1,132,104,360 2,496,810,840 5,009,966,760 10,019,933,880 — keeps growing

Continued fraction of √n

√1,023,000 = [1011; (2, 3, 3, 11, 1, 1, 1, 80, 3, 1, 7, 1, 2, 2, 17, 80, 1, 6, 84, 6, 1, 80, 17, 2, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one million twenty-three thousand
Ordinal
1023000th
Binary
11111001110000011000
Octal
3716030
Hexadecimal
0xF9C18
Base64
D5wY
One's complement
4,293,944,295 (32-bit)
Scientific notation
1.023 × 10⁶
As a duration
1,023,000 s = 11 days, 20 hours, 10 minutes
In other bases
ternary (3) 1220222021220
quaternary (4) 3321300120
quinary (5) 230214000
senary (6) 33532040
septenary (7) 11460336
nonary (9) 1828256
undecimal (11) 639660
duodecimal (12) 414020
tridecimal (13) 29a834
tetradecimal (14) 1c8b56
pentadecimal (15) 1531a0

As an angle

1,023,000° = 2,841 × 360° + 240°
240° ≈ 4.189 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓆼𓆼𓆼
Chinese
一百零二萬三千
Chinese (financial)
壹佰零貳萬參仟
In other modern scripts
Eastern Arabic ١٠٢٣٠٠٠ Devanagari १०२३००० Bengali ১০২৩০০০ Tamil ௧௦௨௩௦௦௦ Thai ๑๐๒๓๐๐๐ Tibetan ༡༠༢༣༠༠༠ Khmer ១០២៣០០០ Lao ໑໐໒໓໐໐໐ Burmese ၁၀၂၃၀၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1023000, here are decompositions:

  • 19 + 1022981 = 1023000
  • 23 + 1022977 = 1023000
  • 37 + 1022963 = 1023000
  • 67 + 1022933 = 1023000
  • 71 + 1022929 = 1023000
  • 89 + 1022911 = 1023000
  • 101 + 1022899 = 1023000
  • 109 + 1022891 = 1023000

Showing the first eight; more decompositions exist.

Hex color
#0F9C18
RGB(15, 156, 24)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.156.24.

Address
0.15.156.24
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.156.24

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 2, 3000 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 3000-02-01 (DMMYYYY (Euro, single-digit day))
  • 3000-10-02 (MMDYYYY (US, single-digit day))
  • 3000-02-10 (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 1,023,000 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°.