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1,051,362

1,051,362 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.).

1,051,362 (one million fifty-one thousand three hundred sixty-two) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 13 × 4,493. Its proper divisors sum to 1,402,362, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x100AE2.

Abundant Number Cube-Free Harshad / Niven Odious Number Pernicious Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
21 bits
Reversed
2,631,501
Square (n²)
1,105,362,055,044
Cube (n³)
1,162,135,660,915,169,928
Divisor count
24
σ(n) — sum of divisors
2,453,724
φ(n) — Euler's totient
323,424
Sum of prime factors
4,514

Primality

Prime factorization: 2 × 3 2 × 13 × 4493

Nearest primes: 1,051,333 (−29) · 1,051,373 (+11)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 78 · 117 · 234 · 4493 · 8986 · 13479 · 26958 · 40437 · 58409 · 80874 · 116818 · 175227 · 350454 · 525681 (half) · 1051362
Aliquot sum (sum of proper divisors): 1,402,362
Factor pairs (a × b = 1,051,362)
1 × 1051362
2 × 525681
3 × 350454
6 × 175227
9 × 116818
13 × 80874
18 × 58409
26 × 40437
39 × 26958
78 × 13479
117 × 8986
234 × 4493
First multiples
1,051,362 · 2,102,724 (double) · 3,154,086 · 4,205,448 · 5,256,810 · 6,308,172 · 7,359,534 · 8,410,896 · 9,462,258 · 10,513,620

Sums & aliquot sequence

As a sum of two squares: 171² + 1,011² = 231² + 999²
As consecutive integers: 350,453 + 350,454 + 350,455 262,839 + 262,840 + 262,841 + 262,842 116,814 + 116,815 + … + 116,822 87,608 + 87,609 + … + 87,619
Aliquot sequence: 1,051,362 1,402,362 1,894,932 3,264,768 6,965,452 7,146,548 5,359,918 2,679,962 1,358,374 690,026 380,794 202,694 101,350 87,254 43,630 34,922 20,278 — unresolved within range

Continued fraction of √n

√1,051,362 = [1025; (2, 1, 3, 1, 1, 2, 2, 1, 9, 9, 2, 1, 7, 3, 3, 9, 1, 1, 1, 1, 6, 1, 1, 5, …)]

Representations

In words
one million fifty-one thousand three hundred sixty-two
Ordinal
1051362nd
Binary
100000000101011100010
Octal
4005342
Hexadecimal
0x100AE2
Base64
EAri
One's complement
4,293,915,933 (32-bit)
Scientific notation
1.051362 × 10⁶
As a duration
1,051,362 s = 12 days, 4 hours, 2 minutes, 42 seconds
In other bases
ternary (3) 1222102012100
quaternary (4) 10000223202
quinary (5) 232120422
senary (6) 34311230
septenary (7) 11636124
nonary (9) 1872170
undecimal (11) 6589a4
duodecimal (12) 428516
tridecimal (13) 2aa710
tetradecimal (14) 1d5214
pentadecimal (15) 15b7ac

As an angle

1,051,362° = 2,920 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Chinese
一百零五萬一千三百六十二
Chinese (financial)
壹佰零伍萬壹仟參佰陸拾貳
In other modern scripts
Eastern Arabic ١٠٥١٣٦٢ Devanagari १०५१३६२ Bengali ১০৫১৩৬২ Tamil ௧௦௫௧௩௬௨ Thai ๑๐๕๑๓๖๒ Tibetan ༡༠༥༡༣༦༢ Khmer ១០៥១៣៦២ Lao ໑໐໕໑໓໖໒ Burmese ၁၀၅၁၃၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1051362, here are decompositions:

  • 29 + 1051333 = 1051362
  • 43 + 1051319 = 1051362
  • 61 + 1051301 = 1051362
  • 71 + 1051291 = 1051362
  • 79 + 1051283 = 1051362
  • 181 + 1051181 = 1051362
  • 211 + 1051151 = 1051362
  • 223 + 1051139 = 1051362

Showing the first eight; more decompositions exist.

Hex color
#100AE2
RGB(16, 10, 226)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.10.226.

Address
0.16.10.226
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.10.226

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 5, 1362 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 1362-05-01 (DMMYYYY (Euro, single-digit day))
  • 1362-10-05 (MMDYYYY (US, single-digit day))
  • 1362-05-10 (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 1,051,362 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°.