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1,010,338

1,010,338 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.).

1,010,338 (one million ten thousand three hundred thirty-eight) is an even 7-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 72,167. Written other ways, in hexadecimal, 0xF6AA2.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
16
Digit product
0
Digital root
7
Palindrome
No
Bit width
20 bits
Reversed
8,330,101
Square (n²)
1,020,782,874,244
Cube (n³)
1,031,335,727,597,934,472
Divisor count
8
σ(n) — sum of divisors
1,732,032
φ(n) — Euler's totient
432,996
Sum of prime factors
72,176

Primality

Prime factorization: 2 × 7 × 72167

Nearest primes: 1,010,329 (−9) · 1,010,353 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 72167 · 144334 · 505169 (half) · 1010338
Aliquot sum (sum of proper divisors): 721,694
Factor pairs (a × b = 1,010,338)
1 × 1010338
2 × 505169
7 × 144334
14 × 72167
First multiples
1,010,338 · 2,020,676 (double) · 3,031,014 · 4,041,352 · 5,051,690 · 6,062,028 · 7,072,366 · 8,082,704 · 9,093,042 · 10,103,380

Sums & aliquot sequence

As consecutive integers: 252,583 + 252,584 + 252,585 + 252,586 144,331 + 144,332 + … + 144,337 36,070 + 36,071 + … + 36,097
Aliquot sequence: 1,010,338 721,694 449,026 224,516 189,142 111,314 79,534 81,746 58,414 29,210 26,086 13,046 8,338 5,342 2,674 1,934 970 — unresolved within range

Continued fraction of √n

√1,010,338 = [1005; (6, 2, 2, 1, 2, 1, 1, 1004, 1, 1, 2, 1, 2, 2, 6, 2010)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one million ten thousand three hundred thirty-eight
Ordinal
1010338th
Binary
11110110101010100010
Octal
3665242
Hexadecimal
0xF6AA2
Base64
D2qi
One's complement
4,293,956,957 (32-bit)
Scientific notation
1.010338 × 10⁶
As a duration
1,010,338 s = 11 days, 16 hours, 38 minutes, 58 seconds
In other bases
ternary (3) 1220022220221
quaternary (4) 3312222202
quinary (5) 224312323
senary (6) 33353254
septenary (7) 11405410
nonary (9) 1808827
undecimal (11) 63009a
duodecimal (12) 40882a
tridecimal (13) 294b44
tetradecimal (14) 1c42b0
pentadecimal (15) 14e55d

As an angle

1,010,338° = 2,806 × 360° + 178°
178° ≈ 3.107 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬零三百三十八
Chinese (financial)
壹佰零壹萬零參佰參拾捌
In other modern scripts
Eastern Arabic ١٠١٠٣٣٨ Devanagari १०१०३३८ Bengali ১০১০৩৩৮ Tamil ௧௦௧௦௩௩௮ Thai ๑๐๑๐๓๓๘ Tibetan ༡༠༡༠༣༣༨ Khmer ១០១០៣៣៨ Lao ໑໐໑໐໓໓໘ Burmese ၁၀၁၀၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1010338, here are decompositions:

  • 41 + 1010297 = 1010338
  • 47 + 1010291 = 1010338
  • 101 + 1010237 = 1010338
  • 137 + 1010201 = 1010338
  • 257 + 1010081 = 1010338
  • 269 + 1010069 = 1010338
  • 347 + 1009991 = 1010338
  • 401 + 1009937 = 1010338

Showing the first eight; more decompositions exist.

Hex color
#0F6AA2
RGB(15, 106, 162)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.106.162.

Address
0.15.106.162
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.106.162

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 0338 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 0338-10-01 (MMDYYYY (US, single-digit day))
  • 0338-01-10 (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 1,010,338 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°.