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1,051,232

1,051,232 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.).

1,051,232 (one million fifty-one thousand two hundred thirty-two) is an even 7-digit number. It is a composite number with 72 divisors, and factors as 2⁵ × 7 × 13 × 19². Its proper divisors sum to 1,637,104, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100A60.

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

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
21 bits
Reversed
2,321,501
Square (n²)
1,105,088,717,824
Cube (n³)
1,161,704,623,015,559,168
Divisor count
72
σ(n) — sum of divisors
2,688,336
φ(n) — Euler's totient
393,984
Sum of prime factors
68

Primality

Prime factorization: 2 5 × 7 × 13 × 19 2

Nearest primes: 1,051,181 (−51) · 1,051,247 (+15)

Divisors & multiples

All divisors (72)
1 · 2 · 4 · 7 · 8 · 13 · 14 · 16 · 19 · 26 · 28 · 32 · 38 · 52 · 56 · 76 · 91 · 104 · 112 · 133 · 152 · 182 · 208 · 224 · 247 · 266 · 304 · 361 · 364 · 416 · 494 · 532 · 608 · 722 · 728 · 988 · 1064 · 1444 · 1456 · 1729 · 1976 · 2128 · 2527 · 2888 · 2912 · 3458 · 3952 · 4256 · 4693 · 5054 · 5776 · 6916 · 7904 · 9386 · 10108 · 11552 · 13832 · 18772 · 20216 · 27664 · 32851 · 37544 · 40432 · 55328 · 65702 · 75088 · 80864 · 131404 · 150176 · 262808 · 525616 (half) · 1051232
Aliquot sum (sum of proper divisors): 1,637,104
Factor pairs (a × b = 1,051,232)
1 × 1051232
2 × 525616
4 × 262808
7 × 150176
8 × 131404
13 × 80864
14 × 75088
16 × 65702
19 × 55328
26 × 40432
28 × 37544
32 × 32851
38 × 27664
52 × 20216
56 × 18772
76 × 13832
91 × 11552
104 × 10108
112 × 9386
133 × 7904
152 × 6916
182 × 5776
208 × 5054
224 × 4693
247 × 4256
266 × 3952
304 × 3458
361 × 2912
364 × 2888
416 × 2527
494 × 2128
532 × 1976
608 × 1729
722 × 1456
728 × 1444
988 × 1064
First multiples
1,051,232 · 2,102,464 (double) · 3,153,696 · 4,204,928 · 5,256,160 · 6,307,392 · 7,358,624 · 8,409,856 · 9,461,088 · 10,512,320

Sums & aliquot sequence

As consecutive integers: 150,173 + 150,174 + … + 150,179 80,858 + 80,859 + … + 80,870 55,319 + 55,320 + … + 55,337 16,394 + 16,395 + … + 16,457
Aliquot sequence: 1,051,232 1,637,104 2,076,944 1,970,416 2,470,768 2,316,376 2,216,024 1,939,036 1,802,660 2,012,116 1,595,264 1,931,896 1,752,704 1,739,266 875,918 437,962 352,058 — unresolved within range

Continued fraction of √n

√1,051,232 = [1025; (3, 2, 1, 1, 1, 5, 19, 1, 2, 1, 2, 1, 1, 5, 9, 1, 2, 8, 2, 5, 4, 1, 3, 1, …)]

Period length 60 — the block in parentheses repeats forever.

Representations

In words
one million fifty-one thousand two hundred thirty-two
Ordinal
1051232nd
Binary
100000000101001100000
Octal
4005140
Hexadecimal
0x100A60
Base64
EApg
One's complement
4,293,916,063 (32-bit)
Scientific notation
1.051232 × 10⁶
As a duration
1,051,232 s = 12 days, 4 hours, 32 seconds
In other bases
ternary (3) 1222102000112
quaternary (4) 10000221200
quinary (5) 232114412
senary (6) 34310452
septenary (7) 11635550
nonary (9) 1872015
undecimal (11) 658896
duodecimal (12) 428428
tridecimal (13) 2aa640
tetradecimal (14) 1d5160
pentadecimal (15) 15b722

As an angle

1,051,232° = 2,920 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 · 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬一千二百三十二
Chinese (financial)
壹佰零伍萬壹仟貳佰參拾貳
In other modern scripts
Eastern Arabic ١٠٥١٢٣٢ Devanagari १०५१२३२ Bengali ১০৫১২৩২ Tamil ௧௦௫௧௨௩௨ Thai ๑๐๕๑๒๓๒ Tibetan ༡༠༥༡༢༣༢ Khmer ១០៥១២៣២ Lao ໑໐໕໑໒໓໒ Burmese ၁၀၅၁၂၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051232, here are decompositions:

  • 79 + 1051153 = 1051232
  • 151 + 1051081 = 1051232
  • 163 + 1051069 = 1051232
  • 181 + 1051051 = 1051232
  • 223 + 1051009 = 1051232
  • 229 + 1051003 = 1051232
  • 271 + 1050961 = 1051232
  • 283 + 1050949 = 1051232

Showing the first eight; more decompositions exist.

Hex color
#100A60
RGB(16, 10, 96)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.10.96.

Address
0.16.10.96
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.10.96

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 5, 1232 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1232-05-01 (DMMYYYY (Euro, single-digit day))
  • 1232-10-05 (MMDYYYY (US, single-digit day))
  • 1232-05-10 (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 1,051,232 and was likely granted around 1912.

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

Position in π

The digit sequence 1051232 first appears in π at position 466,569 of the decimal expansion (the 466,569ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading

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