number.wiki
Live analysis

1,013,629

1,013,629 is a prime, odd.

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.).

1,013,629 (one million thirteen thousand six hundred twenty-nine) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF777D.

Arithmetic Number Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
9,263,101
Square (n²)
1,027,443,749,641
Cube (n³)
1,041,446,780,504,857,189
Divisor count
2
σ(n) — sum of divisors
1,013,630
φ(n) — Euler's totient
1,013,628

Primality

1,013,629 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013629
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,629)
1 × 1013629
First multiples
1,013,629 · 2,027,258 (double) · 3,040,887 · 4,054,516 · 5,068,145 · 6,081,774 · 7,095,403 · 8,109,032 · 9,122,661 · 10,136,290

Sums & aliquot sequence

As a sum of two squares: 498² + 875²
As consecutive integers: 506,814 + 506,815

Continued fraction of √n

√1,013,629 = [1006; (1, 3, 1, 3, 1, 6, 1, 4, 5, 1, 2, 1, 1, 6, 1, 5, 1, 10, 3, 95, 1, 1, 3, 1, …)]

Representations

In words
one million thirteen thousand six hundred twenty-nine
Ordinal
1013629th
Binary
11110111011101111101
Octal
3673575
Hexadecimal
0xF777D
Base64
D3d9
One's complement
4,293,953,666 (32-bit)
Scientific notation
1.013629 × 10⁶
As a duration
1,013,629 s = 11 days, 17 hours, 33 minutes, 49 seconds
In other bases
ternary (3) 1220111102211
quaternary (4) 3313131331
quinary (5) 224414004
senary (6) 33420421
septenary (7) 11421121
nonary (9) 1814384
undecimal (11) 632611
duodecimal (12) 40a711
tridecimal (13) 2964a6
tetradecimal (14) 1c5581
pentadecimal (15) 150504

As an angle

1,013,629° = 2,815 × 360° + 229°
229° ≈ 3.997 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千六百二十九
Chinese (financial)
壹佰零壹萬參仟陸佰貳拾玖
In other modern scripts
Eastern Arabic ١٠١٣٦٢٩ Devanagari १०१३६२९ Bengali ১০১৩৬২৯ Tamil ௧௦௧௩௬௨௯ Thai ๑๐๑๓๖๒๙ Tibetan ༡༠༡༣༦༢༩ Khmer ១០១៣៦២៩ Lao ໑໐໑໓໖໒໙ Burmese ၁၀၁၃၆၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 1013627.

Hex color
#0F777D
RGB(15, 119, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.125.

Address
0.15.119.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.119.125

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

Possible date

Could be parsed as a date. Most likely interpretation: Monday, January 1, 3629 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3629-10-01 (MMDYYYY (US, single-digit day))
  • 3629-01-10 (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 1,013,629 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

  • Prime numbers — The building blocks of arithmetic: what primes are, why they matter, and how we find them.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.