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1,013,581

1,013,581 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.).

1,013,581 (one million thirteen thousand five hundred eighty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF774D.

Arithmetic Number Chen Prime 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
1,853,101
Square (n²)
1,027,346,443,561
Cube (n³)
1,041,298,835,611,001,941
Divisor count
2
σ(n) — sum of divisors
1,013,582
φ(n) — Euler's totient
1,013,580

Primality

1,013,581 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1013581
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,013,581)
1 × 1013581
First multiples
1,013,581 · 2,027,162 (double) · 3,040,743 · 4,054,324 · 5,067,905 · 6,081,486 · 7,095,067 · 8,108,648 · 9,122,229 · 10,135,810

Sums & aliquot sequence

As a sum of two squares: 666² + 755²
As consecutive integers: 506,790 + 506,791

Continued fraction of √n

√1,013,581 = [1006; (1, 3, 3, 3, 3, 8, 5, 5, 1, 1, 1, 1, 4, 1, 4, 6, 1, 1, 1, 56, 1, 7, 3, 1, …)]

Representations

In words
one million thirteen thousand five hundred eighty-one
Ordinal
1013581st
Binary
11110111011101001101
Octal
3673515
Hexadecimal
0xF774D
Base64
D3dN
One's complement
4,293,953,714 (32-bit)
Scientific notation
1.013581 × 10⁶
As a duration
1,013,581 s = 11 days, 17 hours, 33 minutes, 1 second
In other bases
ternary (3) 1220111101001
quaternary (4) 3313131031
quinary (5) 224413311
senary (6) 33420301
septenary (7) 11421022
nonary (9) 1814331
undecimal (11) 632578
duodecimal (12) 40a691
tridecimal (13) 29646a
tetradecimal (14) 1c5549
pentadecimal (15) 1504c1

As an angle

1,013,581° = 2,815 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Chinese
一百零一萬三千五百八十一
Chinese (financial)
壹佰零壹萬參仟伍佰捌拾壹
In other modern scripts
Eastern Arabic ١٠١٣٥٨١ Devanagari १०१३५८१ Bengali ১০১৩৫৮১ Tamil ௧௦௧௩௫௮௧ Thai ๑๐๑๓๕๘๑ Tibetan ༡༠༡༣༥༨༡ Khmer ១០១៣៥៨១ Lao ໑໐໑໓໕໘໑ Burmese ၁၀၁၃၅၈၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F774D
RGB(15, 119, 77)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.119.77.

Address
0.15.119.77
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.119.77

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 3581 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 3581-10-01 (MMDYYYY (US, single-digit day))
  • 3581-01-10 (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 1,013,581 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.