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1,064,004

1,064,004 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.).

1,064,004 (one million sixty-four thousand four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 88,667. Its proper divisors sum to 1,418,700, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x103C44.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
7
Digit sum
15
Digit product
0
Digital root
6
Palindrome
No
Bit width
21 bits
Reversed
4,004,601
Square (n²)
1,132,104,512,016
Cube (n³)
1,204,563,729,203,072,064
Divisor count
12
σ(n) — sum of divisors
2,482,704
φ(n) — Euler's totient
354,664
Sum of prime factors
88,674

Primality

Prime factorization: 2 2 × 3 × 88667

Nearest primes: 1,063,999 (−5) · 1,064,017 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 88667 · 177334 · 266001 · 354668 · 532002 (half) · 1064004
Aliquot sum (sum of proper divisors): 1,418,700
Factor pairs (a × b = 1,064,004)
1 × 1064004
2 × 532002
3 × 354668
4 × 266001
6 × 177334
12 × 88667
First multiples
1,064,004 · 2,128,008 (double) · 3,192,012 · 4,256,016 · 5,320,020 · 6,384,024 · 7,448,028 · 8,512,032 · 9,576,036 · 10,640,040

Sums & aliquot sequence

As consecutive integers: 354,667 + 354,668 + 354,669 132,997 + 132,998 + … + 133,004 44,322 + 44,323 + … + 44,345
Aliquot sequence: 1,064,004 → 1,418,700 → 2,686,940 → 3,109,732 → 2,332,306 → 1,166,156 → 874,624 → 868,046 → 452,578 → 323,294 → 166,426 → 111,278 → 55,642 → 29,894 → 14,950 → 16,298 → 9,082 — unresolved within range

Continued fraction of √n

√1,064,004 = [1031; (1, 1, 43, 2, 1, 1, 5, 1, 3, 1, 2, 1, 1, 13, 1, 1, 1, 6, 1, 3, 1, 2, 1, 3, …)]

Representations

In words
one million sixty-four thousand four
Ordinal
1064004th
Binary
100000011110001000100
Octal
4036104
Hexadecimal
0x103C44
Base64
EDxE
One's complement
4,293,903,291 (32-bit)
Scientific notation
1.064004 × 10⁶
As a duration
1,064,004 s = 12 days, 7 hours, 33 minutes, 24 seconds
In other bases
ternary (3) 2000001112120
quaternary (4) 10003301010
quinary (5) 233022004
senary (6) 34445540
septenary (7) 12021024
nonary (9) 2001476
undecimal (11) 667447
duodecimal (12) 4338b0
tridecimal (13) 2b33b6
tetradecimal (14) 1d9a84
pentadecimal (15) 1603d9

As an angle

1,064,004° = 2,955 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓏺𓏺𓏺𓏺
Chinese
一百零六萬四千零四
Chinese (financial)
壹佰零陸萬肆仟零肆
In other modern scripts
Eastern Arabic ١٠٦٤٠٠٤ Devanagari १०६४००४ Bengali ১০৬৪০০৪ Tamil ௧௦௬௪௦௦௪ Thai ๑๐๖๔๐๐๔ Tibetan ༡༠༦༤༠༠༤ Khmer ១០៦៤០០៤ Lao ໑໐໖໔໐໐໔ Burmese ၁၀၆၄၀၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1064004, here are decompositions:

  • 5 + 1063999 = 1064004
  • 17 + 1063987 = 1064004
  • 31 + 1063973 = 1064004
  • 37 + 1063967 = 1064004
  • 41 + 1063963 = 1064004
  • 43 + 1063961 = 1064004
  • 83 + 1063921 = 1064004
  • 101 + 1063903 = 1064004

Showing the first eight; more decompositions exist.

Hex color
#103C44
RGB(16, 60, 68)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.16.60.68.

Address
0.16.60.68
Class
reserved
IPv4-mapped IPv6
::ffff:0.16.60.68

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

Possible date

Could be parsed as a date. Most likely interpretation: Tuesday, January 6, 4004 (MDDYYYY (US, single-digit month)).

Other possible interpretations (3)
  • 4004-06-01 (DMMYYYY (Euro, single-digit day))
  • 4004-10-06 (MMDYYYY (US, single-digit day))
  • 4004-06-10 (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 1,064,004 and was likely granted around 1913.

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°.