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1,000,038

1,000,038 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.).
Abundant Number Arithmetic Number Cube-Free Evil Number Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
12
Digit product
0
Digital root
3
Palindrome
No
Bit width
20 bits
Reversed
8,300,001
Square (n²)
1,000,076,001,444
Cube (n³)
1,000,114,004,332,054,872
Divisor count
16
σ(n) — sum of divisors
2,154,096
φ(n) — Euler's totient
307,680
Sum of prime factors
12,839

Primality

Prime factorization: 2 × 3 × 13 × 12821

Nearest primes: 1,000,037 (−1) · 1,000,039 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 6 · 13 · 26 · 39 · 78 · 12821 · 25642 · 38463 · 76926 · 166673 · 333346 · 500019 (half) · 1000038
Aliquot sum (sum of proper divisors): 1,154,058
Factor pairs (a × b = 1,000,038)
1 × 1000038
2 × 500019
3 × 333346
6 × 166673
13 × 76926
26 × 38463
39 × 25642
78 × 12821
First multiples
1,000,038 · 2,000,076 (double) · 3,000,114 · 4,000,152 · 5,000,190 · 6,000,228 · 7,000,266 · 8,000,304 · 9,000,342 · 10,000,380

Sums & aliquot sequence

As consecutive integers: 333,345 + 333,346 + 333,347 250,008 + 250,009 + 250,010 + 250,011 83,331 + 83,332 + … + 83,342 76,920 + 76,921 + … + 76,932
Aliquot sequence: 1,000,038 1,154,058 1,154,070 1,846,746 2,631,654 3,070,302 3,648,162 4,690,590 6,566,898 7,577,358 7,577,370 12,471,750 22,864,122 28,384,218 34,616,538 50,280,102 62,696,034 — unresolved within range

Continued fraction of √n

√1,000,038 = [1000; (52, 1, 1, 1, 2, 1, 1, 4, 1, 24, 1, 4, 1, 1, 2, 1, 1, 1, 52, 2000)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one million thirty-eight
Ordinal
1000038th
Binary
11110100001001100110
Octal
3641146
Hexadecimal
0xF4266
Base64
D0Jm
One's complement
4,293,967,257 (32-bit)
Scientific notation
1.000038 × 10⁶
As a duration
1,000,038 s = 11 days, 13 hours, 47 minutes, 18 seconds
In other bases
ternary (3) 1212210210110
quaternary (4) 3310021212
quinary (5) 224000123
senary (6) 33233450
septenary (7) 11333364
nonary (9) 1783713
undecimal (11) 623386
duodecimal (12) 402886
tridecimal (13) 290250
tetradecimal (14) 1c0634
pentadecimal (15) 14b493

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百萬零三十八
Chinese (financial)
壹佰萬零參拾捌
In other modern scripts
Eastern Arabic ١٠٠٠٠٣٨ Devanagari १००००३८ Bengali ১০০০০৩৮ Tamil ௧௦௦௦௦௩௮ Thai ๑๐๐๐๐๓๘ Tibetan ༡༠༠༠༠༣༨ Khmer ១០០០០៣៨ Lao ໑໐໐໐໐໓໘ Burmese ၁၀၀၀၀၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1000038, here are decompositions:

  • 5 + 1000033 = 1000038
  • 59 + 999979 = 1000038
  • 79 + 999959 = 1000038
  • 107 + 999931 = 1000038
  • 131 + 999907 = 1000038
  • 229 + 999809 = 1000038
  • 269 + 999769 = 1000038
  • 311 + 999727 = 1000038

Showing the first eight; more decompositions exist.

Hex color
#0F4266
RGB(15, 66, 102)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.66.102.

Address
0.15.66.102
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.66.102

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

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 1,000,038 and was likely granted around 1911.

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

Possible US bank routing number

This passes the ABA routing number checksum and matches the Federal Reserve numbering scheme.

Routing number
001000038
Federal Reserve
United States Government

Banks operate many routing numbers per state and division; an unmatched checksum-valid number can still be a real RTN at a smaller institution.