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1,055,972

1,055,972 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.).

1,055,972 (one million fifty-five thousand nine hundred seventy-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2² × 17 × 53 × 293. Written other ways, in hexadecimal, 0x101CE4.

Arithmetic Number Cube-Free Deficient Number Evil Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
29
Digit product
0
Digital root
2
Palindrome
No
Bit width
21 bits
Reversed
2,795,501
Square (n²)
1,115,076,864,784
Cube (n³)
1,177,489,947,059,690,048
Divisor count
24
σ(n) — sum of divisors
2,000,376
φ(n) — Euler's totient
485,888
Sum of prime factors
367

Primality

Prime factorization: 2 2 × 17 × 53 × 293

Nearest primes: 1,055,969 (−3) · 1,055,981 (+9)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 17 · 34 · 53 · 68 · 106 · 212 · 293 · 586 · 901 · 1172 · 1802 · 3604 · 4981 · 9962 · 15529 · 19924 · 31058 · 62116 · 263993 · 527986 (half) · 1055972
Aliquot sum (sum of proper divisors): 944,404
Factor pairs (a × b = 1,055,972)
1 × 1055972
2 × 527986
4 × 263993
17 × 62116
34 × 31058
53 × 19924
68 × 15529
106 × 9962
212 × 4981
293 × 3604
586 × 1802
901 × 1172
First multiples
1,055,972 · 2,111,944 (double) · 3,167,916 · 4,223,888 · 5,279,860 · 6,335,832 · 7,391,804 · 8,447,776 · 9,503,748 · 10,559,720

Sums & aliquot sequence

As a sum of two squares: 86² + 1,024² = 154² + 1,016² = 406² + 944² = 614² + 824²
As consecutive integers: 131,993 + 131,994 + … + 132,000 62,108 + 62,109 + … + 62,124 19,898 + 19,899 + … + 19,950 7,697 + 7,698 + … + 7,832
Aliquot sequence: 1,055,972 → 944,404 → 718,796 → 697,108 → 543,264 → 883,056 → 1,398,296 → 1,237,144 → 1,082,516 → 820,672 → 807,976 → 923,264 → 916,306 → 462,638 → 339,586 → 225,398 → 114,802 — unresolved within range

Continued fraction of √n

√1,055,972 = [1027; (1, 1, 1, 1, 7, 2, 2, 1, 47, 11, 1, 12, 1, 7, 9, 1, 512, 1, 9, 7, 1, 12, 1, 11, …)]

Period length 34 — the block in parentheses repeats forever.

Representations

In words
one million fifty-five thousand nine hundred seventy-two
Ordinal
1055972nd
Binary
100000001110011100100
Octal
4016344
Hexadecimal
0x101CE4
Base64
EBzk
One's complement
4,293,911,323 (32-bit)
Scientific notation
1.055972 × 10⁶
As a duration
1,055,972 s = 12 days, 5 hours, 19 minutes, 32 seconds
In other bases
ternary (3) 1222122112002
quaternary (4) 10001303210
quinary (5) 232242342
senary (6) 34344432
septenary (7) 11655431
nonary (9) 1878462
undecimal (11) 661405
duodecimal (12) 42b118
tridecimal (13) 2ac848
tetradecimal (14) 1d6b88
pentadecimal (15) 15cd32

As an angle

1,055,972° = 2,933 × 360° + 92°
92° ≈ 1.606 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬五千九百七十二
Chinese (financial)
壹佰零伍萬伍仟玖佰柒拾貳
In other modern scripts
Eastern Arabic ١٠٥٥٩٧٢ Devanagari १०५५९७२ Bengali ১০৫৫৯৭২ Tamil ௧௦௫௫௯௭௨ Thai ๑๐๕๕๙๗๒ Tibetan ༡༠༥༥༩༧༢ Khmer ១០៥៥៩៧២ Lao ໑໐໕໕໙໗໒ Burmese ၁၀၅၅၉၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1055972, here are decompositions:

  • 3 + 1055969 = 1055972
  • 13 + 1055959 = 1055972
  • 61 + 1055911 = 1055972
  • 79 + 1055893 = 1055972
  • 109 + 1055863 = 1055972
  • 163 + 1055809 = 1055972
  • 241 + 1055731 = 1055972
  • 283 + 1055689 = 1055972

Showing the first eight; more decompositions exist.

Hex color
#101CE4
RGB(16, 28, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.28.228.

Address
0.16.28.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.28.228

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 5, 5972 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 5972-05-01 (DMMYYYY (Euro, single-digit day))
  • 5972-10-05 (MMDYYYY (US, single-digit day))
  • 5972-05-10 (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 1,055,972 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°.