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1,055,688

1,055,688 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.).

1,055,688 (one million fifty-five thousand six hundred eighty-eight) is an even 7-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 43,987. Its proper divisors sum to 1,583,592, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x101BC8.

Abundant Number Arithmetic Number Evil Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
33
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
8,865,501
Square (n²)
1,114,477,153,344
Cube (n³)
1,176,540,157,059,420,672
Divisor count
16
σ(n) — sum of divisors
2,639,280
φ(n) — Euler's totient
351,888
Sum of prime factors
43,996

Primality

Prime factorization: 2 3 × 3 × 43987

Nearest primes: 1,055,671 (−17) · 1,055,689 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 43987 · 87974 · 131961 · 175948 · 263922 · 351896 · 527844 (half) · 1055688
Aliquot sum (sum of proper divisors): 1,583,592
Factor pairs (a × b = 1,055,688)
1 × 1055688
2 × 527844
3 × 351896
4 × 263922
6 × 175948
8 × 131961
12 × 87974
24 × 43987
First multiples
1,055,688 · 2,111,376 (double) · 3,167,064 · 4,222,752 · 5,278,440 · 6,334,128 · 7,389,816 · 8,445,504 · 9,501,192 · 10,556,880

Sums & aliquot sequence

As consecutive integers: 351,895 + 351,896 + 351,897 65,973 + 65,974 + … + 65,988 21,970 + 21,971 + … + 22,017
Aliquot sequence: 1,055,688 → 1,583,592 → 2,375,448 → 3,769,752 → 7,577,448 → 11,496,312 → 19,639,728 → 37,231,632 → 75,234,384 → 151,293,528 → 268,966,872 → 478,163,928 → 893,119,272 → 1,372,159,128 → 2,194,720,872 → 3,292,081,368 → 4,939,846,632 — unresolved within range

Continued fraction of √n

√1,055,688 = [1027; (2, 7, 36, 1, 1, 3, 1, 1, 6, 41, 1, 3, 1, 1, 1, 6, 1, 7, 1, 1, 1, 11, 1, 1, …)]

Representations

In words
one million fifty-five thousand six hundred eighty-eight
Ordinal
1055688th
Binary
100000001101111001000
Octal
4015710
Hexadecimal
0x101BC8
Base64
EBvI
One's complement
4,293,911,607 (32-bit)
Scientific notation
1.055688 × 10⁶
As a duration
1,055,688 s = 12 days, 5 hours, 14 minutes, 48 seconds
In other bases
ternary (3) 1222122010120
quaternary (4) 10001233020
quinary (5) 232240223
senary (6) 34343240
septenary (7) 11654544
nonary (9) 1878116
undecimal (11) 661177
duodecimal (12) 42ab20
tridecimal (13) 2ac68a
tetradecimal (14) 1d6a24
pentadecimal (15) 15cbe3

As an angle

1,055,688° = 2,932 × 360° + 168°
168° ≈ 2.932 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零五萬五千六百八十八
Chinese (financial)
壹佰零伍萬伍仟陸佰捌拾捌
In other modern scripts
Eastern Arabic ١٠٥٥٦٨٨ Devanagari १०५५६८८ Bengali ১০৫৫৬৮৮ Tamil ௧௦௫௫௬௮௮ Thai ๑๐๕๕๖๘๘ Tibetan ༡༠༥༥༦༨༨ Khmer ១០៥៥៦៨៨ Lao ໑໐໕໕໖໘໘ Burmese ၁၀၅၅၆၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055688, here are decompositions:

  • 17 + 1055671 = 1055688
  • 79 + 1055609 = 1055688
  • 97 + 1055591 = 1055688
  • 157 + 1055531 = 1055688
  • 199 + 1055489 = 1055688
  • 251 + 1055437 = 1055688
  • 281 + 1055407 = 1055688
  • 317 + 1055371 = 1055688

Showing the first eight; more decompositions exist.

Hex color
#101BC8
RGB(16, 27, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.27.200.

Address
0.16.27.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.27.200

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 5688 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5688-05-01 (DMMYYYY (Euro, single-digit day))
  • 5688-10-05 (MMDYYYY (US, single-digit day))
  • 5688-05-10 (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 1,055,688 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°.