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1,012,338

1,012,338 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.).

1,012,338 (one million twelve thousand three hundred thirty-eight) is an even 7-digit number. It is a composite number with 24 divisors, and factors as 2 × 3⁵ × 2,083. Its proper divisors sum to 1,263,390, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7272.

Abundant Number Arithmetic Number Evil Number Gapful Number Harshad / Niven Self Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
18
Digit product
0
Digital root
9
Palindrome
No
Bit width
20 bits
Reversed
8,332,101
Square (n²)
1,024,828,226,244
Cube (n³)
1,037,472,556,899,398,472
Divisor count
24
σ(n) — sum of divisors
2,275,728
φ(n) — Euler's totient
337,284
Sum of prime factors
2,100

Primality

Prime factorization: 2 × 3 5 × 2083

Nearest primes: 1,012,321 (−17) · 1,012,369 (+31)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 81 · 162 · 243 · 486 · 2083 · 4166 · 6249 · 12498 · 18747 · 37494 · 56241 · 112482 · 168723 · 337446 · 506169 (half) · 1012338
Aliquot sum (sum of proper divisors): 1,263,390
Factor pairs (a × b = 1,012,338)
1 × 1012338
2 × 506169
3 × 337446
6 × 168723
9 × 112482
18 × 56241
27 × 37494
54 × 18747
81 × 12498
162 × 6249
243 × 4166
486 × 2083
First multiples
1,012,338 · 2,024,676 (double) · 3,037,014 · 4,049,352 · 5,061,690 · 6,074,028 · 7,086,366 · 8,098,704 · 9,111,042 · 10,123,380

Sums & aliquot sequence

As consecutive integers: 337,445 + 337,446 + 337,447 253,083 + 253,084 + 253,085 + 253,086 112,478 + 112,479 + … + 112,486 84,356 + 84,357 + … + 84,367
Aliquot sequence: 1,012,338 1,263,390 1,902,306 2,445,918 2,614,962 3,624,270 5,744,082 5,850,798 5,850,810 12,075,462 18,361,854 27,870,306 27,922,494 29,432,274 31,462,446 31,689,762 37,221,150 — unresolved within range

Continued fraction of √n

√1,012,338 = [1006; (6, 1, 1, 1, 27, 1, 2, 4, 111, 1, 1, 3, 2, 2, 2, 1, 2, 1, 4, 1, 7, 223, 2, 5, …)]

Period length 58 — the block in parentheses repeats forever.

Representations

In words
one million twelve thousand three hundred thirty-eight
Ordinal
1012338th
Binary
11110111001001110010
Octal
3671162
Hexadecimal
0xF7272
Base64
D3Jy
One's complement
4,293,954,957 (32-bit)
Scientific notation
1.012338 × 10⁶
As a duration
1,012,338 s = 11 days, 17 hours, 12 minutes, 18 seconds
In other bases
ternary (3) 1220102200000
quaternary (4) 3313021302
quinary (5) 224343323
senary (6) 33410430
septenary (7) 11414265
nonary (9) 1812600
undecimal (11) 631648
duodecimal (12) 409a16
tridecimal (13) 295a22
tetradecimal (14) 1c4cdc
pentadecimal (15) 14ee43

As an angle

1,012,338° = 2,812 × 360° + 18°
18° ≈ 0.314 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬二千三百三十八
Chinese (financial)
壹佰零壹萬貳仟參佰參拾捌
In other modern scripts
Eastern Arabic ١٠١٢٣٣٨ Devanagari १०१२३३८ Bengali ১০১২৩৩৮ Tamil ௧௦௧௨௩௩௮ Thai ๑๐๑๒๓๓๘ Tibetan ༡༠༡༢༣༣༨ Khmer ១០១២៣៣៨ Lao ໑໐໑໒໓໓໘ Burmese ၁၀၁၂၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1012338, here are decompositions:

  • 17 + 1012321 = 1012338
  • 31 + 1012307 = 1012338
  • 59 + 1012279 = 1012338
  • 71 + 1012267 = 1012338
  • 79 + 1012259 = 1012338
  • 97 + 1012241 = 1012338
  • 109 + 1012229 = 1012338
  • 137 + 1012201 = 1012338

Showing the first eight; more decompositions exist.

Hex color
#0F7272
RGB(15, 114, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.114.114.

Address
0.15.114.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.114.114

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 2338 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 2338-10-01 (MMDYYYY (US, single-digit day))
  • 2338-01-10 (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 1,012,338 and was likely granted around 1911.

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°.