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1,013,329

1,013,329 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.).

1,013,329 (one million thirteen thousand three 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, 0xF7651.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
20 bits
Reversed
9,233,101
Square (n²)
1,026,835,662,241
Cube (n³)
1,040,522,354,783,010,289
Divisor count
2
σ(n) — sum of divisors
1,013,330
φ(n) — Euler's totient
1,013,328

Primality

1,013,329 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013329
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,329)
1 × 1013329
First multiples
1,013,329 · 2,026,658 (double) · 3,039,987 · 4,053,316 · 5,066,645 · 6,079,974 · 7,093,303 · 8,106,632 · 9,119,961 · 10,133,290

Sums & aliquot sequence

As a sum of two squares: 640² + 777²
As consecutive integers: 506,664 + 506,665

Continued fraction of √n

√1,013,329 = [1006; (1, 1, 1, 3, 1, 11, 2, 2, 2, 10, 4, 4, 3, 1, 1, 3, 16, 2, 83, 2, 2, 22, 4, 1, …)]

Representations

In words
one million thirteen thousand three hundred twenty-nine
Ordinal
1013329th
Binary
11110111011001010001
Octal
3673121
Hexadecimal
0xF7651
Base64
D3ZR
One's complement
4,293,953,966 (32-bit)
Scientific notation
1.013329 × 10⁶
As a duration
1,013,329 s = 11 days, 17 hours, 28 minutes, 49 seconds
In other bases
ternary (3) 1220111000201
quaternary (4) 3313121101
quinary (5) 224411304
senary (6) 33415201
septenary (7) 11420212
nonary (9) 1814021
undecimal (11) 632369
duodecimal (12) 40a501
tridecimal (13) 296305
tetradecimal (14) 1c5409
pentadecimal (15) 1503a4

As an angle

1,013,329° = 2,814 × 360° + 289°
289° ≈ 5.044 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千三百二十九
Chinese (financial)
壹佰零壹萬參仟參佰貳拾玖
In other modern scripts
Eastern Arabic ١٠١٣٣٢٩ Devanagari १०१३३२९ Bengali ১০১৩৩২৯ Tamil ௧௦௧௩௩௨௯ Thai ๑๐๑๓๓๒๙ Tibetan ༡༠༡༣༣༢༩ Khmer ១០១៣៣២៩ Lao ໑໐໑໓໓໒໙ Burmese ၁၀၁၃၃၂၉

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F7651
RGB(15, 118, 81)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.81.

Address
0.15.118.81
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.81

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

Possible date

Could be parsed as a date. Most likely interpretation: Saturday, January 1, 3329 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3329-10-01 (MMDYYYY (US, single-digit day))
  • 3329-01-10 (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 1,013,329 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.