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1,013,377

1,013,377 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.).

1,013,377 (one million thirteen thousand three hundred seventy-seven) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF7681.

Arithmetic Number Chen Prime Cube-Free Deficient Number Odious Number Pernicious Number Prime Pythagorean Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
22
Digit product
0
Digital root
4
Palindrome
No
Bit width
20 bits
Reversed
7,733,101
Square (n²)
1,026,932,944,129
Cube (n³)
1,040,670,226,122,613,633
Divisor count
2
σ(n) — sum of divisors
1,013,378
φ(n) — Euler's totient
1,013,376

Primality

1,013,377 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013377
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,377)
1 × 1013377
First multiples
1,013,377 · 2,026,754 (double) · 3,040,131 · 4,053,508 · 5,066,885 · 6,080,262 · 7,093,639 · 8,107,016 · 9,120,393 · 10,133,770

Sums & aliquot sequence

As a sum of two squares: 124² + 999²
As consecutive integers: 506,688 + 506,689

Continued fraction of √n

√1,013,377 = [1006; (1, 1, 1, 286, 1, 19, 1, 40, 7, 2, 1, 5, 1, 5, 51, 2, 4, 1, 4, 2, 6, 1, 11, 1, …)]

Representations

In words
one million thirteen thousand three hundred seventy-seven
Ordinal
1013377th
Binary
11110111011010000001
Octal
3673201
Hexadecimal
0xF7681
Base64
D3aB
One's complement
4,293,953,918 (32-bit)
Scientific notation
1.013377 × 10⁶
As a duration
1,013,377 s = 11 days, 17 hours, 29 minutes, 37 seconds
In other bases
ternary (3) 1220111002111
quaternary (4) 3313122001
quinary (5) 224412002
senary (6) 33415321
septenary (7) 11420311
nonary (9) 1814074
undecimal (11) 632402
duodecimal (12) 40a541
tridecimal (13) 296341
tetradecimal (14) 1c5441
pentadecimal (15) 1503d7

As an angle

1,013,377° = 2,814 × 360° + 337°
337° ≈ 5.882 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Chinese
一百零一萬三千三百七十七
Chinese (financial)
壹佰零壹萬參仟參佰柒拾柒
In other modern scripts
Eastern Arabic ١٠١٣٣٧٧ Devanagari १०१३३७७ Bengali ১০১৩৩৭৭ Tamil ௧௦௧௩௩௭௭ Thai ๑๐๑๓๓๗๗ Tibetan ༡༠༡༣༣༧༧ Khmer ១០១៣៣៧៧ Lao ໑໐໑໓໓໗໗ Burmese ၁၀၁၃၃၇၇

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F7681
RGB(15, 118, 129)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.118.129.

Address
0.15.118.129
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.118.129

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

Possible date

Could be parsed as a date. Most likely interpretation: Wednesday, January 1, 3377 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3377-10-01 (MMDYYYY (US, single-digit day))
  • 3377-01-10 (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 1,013,377 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.