number.wiki
Live analysis

1,013,604

1,013,604 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.).

1,013,604 (one million thirteen thousand six hundred four) is an even 7-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 84,467. Its proper divisors sum to 1,351,500, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7764.

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
20 bits
Reversed
4,063,101
Square (n²)
1,027,393,068,816
Cube (n³)
1,041,369,724,124,172,864
Divisor count
12
σ(n) — sum of divisors
2,365,104
φ(n) — Euler's totient
337,864
Sum of prime factors
84,474

Primality

Prime factorization: 2 2 × 3 × 84467

Nearest primes: 1,013,603 (−1) · 1,013,609 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 84467 · 168934 · 253401 · 337868 · 506802 (half) · 1013604
Aliquot sum (sum of proper divisors): 1,351,500
Factor pairs (a × b = 1,013,604)
1 × 1013604
2 × 506802
3 × 337868
4 × 253401
6 × 168934
12 × 84467
First multiples
1,013,604 · 2,027,208 (double) · 3,040,812 · 4,054,416 · 5,068,020 · 6,081,624 · 7,095,228 · 8,108,832 · 9,122,436 · 10,136,040

Sums & aliquot sequence

As consecutive integers: 337,867 + 337,868 + 337,869 126,697 + 126,698 + … + 126,704 42,222 + 42,223 + … + 42,245
Aliquot sequence: 1,013,604 1,351,500 2,894,196 3,858,956 2,940,004 2,205,010 1,937,006 968,506 943,814 471,910 399,002 199,504 198,660 510,972 1,021,188 1,702,204 1,702,260 — unresolved within range

Continued fraction of √n

√1,013,604 = [1006; (1, 3, 1, 1, 9, 2, 1, 3, 42, 1, 1, 3, 11, 1, 133, 3, 7, 4, 1, 3, 1, 2, 4, 1, …)]

Representations

In words
one million thirteen thousand six hundred four
Ordinal
1013604th
Binary
11110111011101100100
Octal
3673544
Hexadecimal
0xF7764
Base64
D3dk
One's complement
4,293,953,691 (32-bit)
Scientific notation
1.013604 × 10⁶
As a duration
1,013,604 s = 11 days, 17 hours, 33 minutes, 24 seconds
In other bases
ternary (3) 1220111101220
quaternary (4) 3313131210
quinary (5) 224413404
senary (6) 33420340
septenary (7) 11421054
nonary (9) 1814356
undecimal (11) 632599
duodecimal (12) 40a6b0
tridecimal (13) 296487
tetradecimal (14) 1c5564
pentadecimal (15) 1504d9

As an angle

1,013,604° = 2,815 × 360° + 204°
204° ≈ 3.56 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千六百零四
Chinese (financial)
壹佰零壹萬參仟陸佰零肆
In other modern scripts
Eastern Arabic ١٠١٣٦٠٤ Devanagari १०१३६०४ Bengali ১০১৩৬০৪ Tamil ௧௦௧௩௬௦௪ Thai ๑๐๑๓๖๐๔ Tibetan ༡༠༡༣༦༠༤ Khmer ១០១៣៦០៤ Lao ໑໐໑໓໖໐໔ Burmese ၁၀၁၃၆၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013604, here are decompositions:

  • 23 + 1013581 = 1013604
  • 41 + 1013563 = 1013604
  • 71 + 1013533 = 1013604
  • 73 + 1013531 = 1013604
  • 101 + 1013503 = 1013604
  • 103 + 1013501 = 1013604
  • 127 + 1013477 = 1013604
  • 173 + 1013431 = 1013604

Showing the first eight; more decompositions exist.

Hex color
#0F7764
RGB(15, 119, 100)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.100.

Address
0.15.119.100
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.119.100

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3604 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3604-10-01 (MMDYYYY (US, single-digit day))
  • 3604-01-10 (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 1,013,604 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°.