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1,013,634

1,013,634 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.).

1,013,634 (one million thirteen thousand six hundred thirty-four) is an even 7-digit number. It is a composite number with 20 divisors, and factors as 2 × 3⁴ × 6,257. Its proper divisors sum to 1,258,020, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0xF7782.

Abundant Number Evil Number Harshad / Niven 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
4,363,101
Square (n²)
1,027,453,885,956
Cube (n³)
1,041,462,192,237,124,104
Divisor count
20
σ(n) — sum of divisors
2,271,654
φ(n) — Euler's totient
337,824
Sum of prime factors
6,271

Primality

Prime factorization: 2 × 3 4 × 6257

Nearest primes: 1,013,629 (−5) · 1,013,641 (+7)

Divisors & multiples

All divisors (20)
1 · 2 · 3 · 6 · 9 · 18 · 27 · 54 · 81 · 162 · 6257 · 12514 · 18771 · 37542 · 56313 · 112626 · 168939 · 337878 · 506817 (half) · 1013634
Aliquot sum (sum of proper divisors): 1,258,020
Factor pairs (a × b = 1,013,634)
1 × 1013634
2 × 506817
3 × 337878
6 × 168939
9 × 112626
18 × 56313
27 × 37542
54 × 18771
81 × 12514
162 × 6257
First multiples
1,013,634 · 2,027,268 (double) · 3,040,902 · 4,054,536 · 5,068,170 · 6,081,804 · 7,095,438 · 8,109,072 · 9,122,706 · 10,136,340

Sums & aliquot sequence

As a sum of two squares: 675² + 747²
As consecutive integers: 337,877 + 337,878 + 337,879 253,407 + 253,408 + 253,409 + 253,410 112,622 + 112,623 + … + 112,630 84,464 + 84,465 + … + 84,475
Aliquot sequence: 1,013,634 1,258,020 2,705,940 5,714,220 10,429,908 17,511,852 23,442,180 42,196,092 59,047,428 97,781,244 156,428,292 227,782,108 191,816,652 261,150,324 367,857,804 502,237,156 393,608,284 — unresolved within range

Continued fraction of √n

√1,013,634 = [1006; (1, 3, 1, 5, 1, 3, 1, 1, 4, 4, 1, 13, 2, 1, 2, 4, 2, 24, 9, 3, 12, 2, 2, 1, …)]

Representations

In words
one million thirteen thousand six hundred thirty-four
Ordinal
1013634th
Binary
11110111011110000010
Octal
3673602
Hexadecimal
0xF7782
Base64
D3eC
One's complement
4,293,953,661 (32-bit)
Scientific notation
1.013634 × 10⁶
As a duration
1,013,634 s = 11 days, 17 hours, 33 minutes, 54 seconds
In other bases
ternary (3) 1220111110000
quaternary (4) 3313132002
quinary (5) 224414014
senary (6) 33420430
septenary (7) 11421126
nonary (9) 1814400
undecimal (11) 632616
duodecimal (12) 40a716
tridecimal (13) 2964ab
tetradecimal (14) 1c5586
pentadecimal (15) 150509

As an angle

1,013,634° = 2,815 × 360° + 234°
234° ≈ 4.084 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千六百三十四
Chinese (financial)
壹佰零壹萬參仟陸佰參拾肆
In other modern scripts
Eastern Arabic ١٠١٣٦٣٤ Devanagari १०१३६३४ Bengali ১০১৩৬৩৪ Tamil ௧௦௧௩௬௩௪ Thai ๑๐๑๓๖๓๔ Tibetan ༡༠༡༣༦༣༤ Khmer ១០១៣៦៣៤ Lao ໑໐໑໓໖໓໔ Burmese ၁၀၁၃၆၃၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 1013634, here are decompositions:

  • 5 + 1013629 = 1013634
  • 7 + 1013627 = 1013634
  • 31 + 1013603 = 1013634
  • 53 + 1013581 = 1013634
  • 71 + 1013563 = 1013634
  • 101 + 1013533 = 1013634
  • 103 + 1013531 = 1013634
  • 107 + 1013527 = 1013634

Showing the first eight; more decompositions exist.

Hex color
#0F7782
RGB(15, 119, 130)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.130.

Address
0.15.119.130
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.119.130

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

Possible date

Could be parsed as a date. Most likely interpretation: Sunday, January 1, 3634 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3634-10-01 (MMDYYYY (US, single-digit day))
  • 3634-01-10 (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 1,013,634 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°.