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1,055,700

1,055,700 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.).

1,055,700 (one million fifty-five thousand seven hundred) is an even 7-digit number. It is a composite number with 144 divisors, and factors as 2² × 3³ × 5² × 17 × 23. Its proper divisors sum to 2,694,060, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101BD4.

Abundant Number Arithmetic Number Gapful Number Happy Number Harshad / Niven Odious Number Practical Number Weird Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
75,501
Square (n²)
1,114,502,490,000
Cube (n³)
1,176,580,278,693,000,000
Divisor count
144
σ(n) — sum of divisors
3,749,760
φ(n) — Euler's totient
253,440
Sum of prime factors
63

Primality

Prime factorization: 2 2 × 3 3 × 5 2 × 17 × 23

Nearest primes: 1,055,689 (−11) · 1,055,713 (+13)

Divisors & multiples

All divisors (144)
1 · 2 · 3 · 4 · 5 · 6 · 9 · 10 · 12 · 15 · 17 · 18 · 20 · 23 · 25 · 27 · 30 · 34 · 36 · 45 · 46 · 50 · 51 · 54 · 60 · 68 · 69 · 75 · 85 · 90 · 92 · 100 · 102 · 108 · 115 · 135 · 138 · 150 · 153 · 170 · 180 · 204 · 207 · 225 · 230 · 255 · 270 · 276 · 300 · 306 · 340 · 345 · 391 · 414 · 425 · 450 · 459 · 460 · 510 · 540 · 575 · 612 · 621 · 675 · 690 · 765 · 782 · 828 · 850 · 900 · 918 · 1020 · 1035 · 1150 · 1173 · 1242 · 1275 · 1350 · 1380 · 1530 · 1564 · 1700 · 1725 · 1836 · 1955 · 2070 · 2295 · 2300 · 2346 · 2484 · 2550 · 2700 · 3060 · 3105 · 3450 · 3519 · 3825 · 3910 · 4140 · 4590 · 4692 · 5100 · 5175 · 5865 · 6210 · 6900 · 7038 · 7650 · 7820 · 9180 · 9775 · 10350 · 10557 · 11475 · 11730 · 12420 · 14076 · 15300 · 15525 · 17595 · 19550 · 20700 · 21114 · 22950 · 23460 · 29325 · 31050 · 35190 · 39100 · 42228 · 45900 · 52785 · 58650 · 62100 · 70380 · 87975 · 105570 · 117300 · 175950 · 211140 · 263925 · 351900 · 527850 (half) · 1055700
Aliquot sum (sum of proper divisors): 2,694,060
Factor pairs (a × b = 1,055,700)
1 × 1055700
2 × 527850
3 × 351900
4 × 263925
5 × 211140
6 × 175950
9 × 117300
10 × 105570
12 × 87975
15 × 70380
17 × 62100
18 × 58650
20 × 52785
23 × 45900
25 × 42228
27 × 39100
30 × 35190
34 × 31050
36 × 29325
45 × 23460
46 × 22950
50 × 21114
51 × 20700
54 × 19550
60 × 17595
68 × 15525
69 × 15300
75 × 14076
85 × 12420
90 × 11730
92 × 11475
100 × 10557
102 × 10350
108 × 9775
115 × 9180
135 × 7820
138 × 7650
150 × 7038
153 × 6900
170 × 6210
180 × 5865
204 × 5175
207 × 5100
225 × 4692
230 × 4590
255 × 4140
270 × 3910
276 × 3825
300 × 3519
306 × 3450
340 × 3105
345 × 3060
391 × 2700
414 × 2550
425 × 2484
450 × 2346
459 × 2300
460 × 2295
510 × 2070
540 × 1955
575 × 1836
612 × 1725
621 × 1700
675 × 1564
690 × 1530
765 × 1380
782 × 1350
828 × 1275
850 × 1242
900 × 1173
918 × 1150
1020 × 1035
First multiples
1,055,700 · 2,111,400 (double) · 3,167,100 · 4,222,800 · 5,278,500 · 6,334,200 · 7,389,900 · 8,445,600 · 9,501,300 · 10,557,000

Sums & aliquot sequence

As consecutive integers: 351,899 + 351,900 + 351,901 211,138 + 211,139 + 211,140 + 211,141 + 211,142 131,959 + 131,960 + … + 131,966 117,296 + 117,297 + … + 117,304
Aliquot sequence: 1,055,700 → 2,694,060 → 5,762,388 → 8,801,196 → 11,734,956 → 19,029,596 → 16,231,252 → 12,173,446 → 6,716,474 → 3,602,926 → 1,916,594 → 964,174 → 558,266 → 297,094 → 212,234 → 138,088 → 127,772 — unresolved within range

Continued fraction of √n

√1,055,700 = [1027; (2, 8, 1, 1, 1, 2, 1, 1, 1, 8, 2, 2054)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one million fifty-five thousand seven hundred
Ordinal
1055700th
Binary
100000001101111010100
Octal
4015724
Hexadecimal
0x101BD4
Base64
EBvU
One's complement
4,293,911,595 (32-bit)
Scientific notation
1.0557 × 10⁶
As a duration
1,055,700 s = 12 days, 5 hours, 15 minutes
In other bases
ternary (3) 1222122011000
quaternary (4) 10001233110
quinary (5) 232240300
senary (6) 34343300
septenary (7) 11654562
nonary (9) 1878130
undecimal (11) 661188
duodecimal (12) 42ab30
tridecimal (13) 2ac699
tetradecimal (14) 1d6a32
pentadecimal (15) 15cc00

As an angle

1,055,700° = 2,932 × 360° + 180°
180° ≈ 3.142 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹 ·
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢
Chinese
一百零五萬五千七百
Chinese (financial)
壹佰零伍萬伍仟柒佰
In other modern scripts
Eastern Arabic ١٠٥٥٧٠٠ Devanagari १०५५७०० Bengali ১০৫৫৭০০ Tamil ௧௦௫௫௭௦௦ Thai ๑๐๕๕๗๐๐ Tibetan ༡༠༥༥༧༠༠ Khmer ១០៥៥៧០០ Lao ໑໐໕໕໗໐໐ Burmese ၁၀၅၅၇၀၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055700, here are decompositions:

  • 11 + 1055689 = 1055700
  • 29 + 1055671 = 1055700
  • 89 + 1055611 = 1055700
  • 97 + 1055603 = 1055700
  • 103 + 1055597 = 1055700
  • 109 + 1055591 = 1055700
  • 157 + 1055543 = 1055700
  • 197 + 1055503 = 1055700

Showing the first eight; more decompositions exist.

Hex color
#101BD4
RGB(16, 27, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.27.212.

Address
0.16.27.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.27.212

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 5700 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5700-05-01 (DMMYYYY (Euro, single-digit day))
  • 5700-10-05 (MMDYYYY (US, single-digit day))
  • 5700-05-10 (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 1,055,700 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°.