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1,017,131

1,017,131 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.).

1,017,131 (one million seventeen thousand one hundred thirty-one) is an odd 7-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF852B.

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

Interestingness

Properties

Parity
Odd
Digit count
7
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
1,317,101
Square (n²)
1,034,555,471,161
Cube (n³)
1,052,278,440,937,459,091
Divisor count
2
σ(n) — sum of divisors
1,017,132
φ(n) — Euler's totient
1,017,130

Primality

1,017,131 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 1017131
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 1,017,131)
1 × 1017131
First multiples
1,017,131 · 2,034,262 (double) · 3,051,393 · 4,068,524 · 5,085,655 · 6,102,786 · 7,119,917 · 8,137,048 · 9,154,179 · 10,171,310

Sums & aliquot sequence

As consecutive integers: 508,565 + 508,566

Continued fraction of √n

√1,017,131 = [1008; (1, 1, 8, 12, 30, 43, 1, 4, 2, 3, 11, 23, 1, 1, 1, 3, 1, 3, 36, 2, 2, 3, 1, 3, …)]

Representations

In words
one million seventeen thousand one hundred thirty-one
Ordinal
1017131st
Binary
11111000010100101011
Octal
3702453
Hexadecimal
0xF852B
Base64
D4Ur
One's complement
4,293,950,164 (32-bit)
Scientific notation
1.017131 × 10⁶
As a duration
1,017,131 s = 11 days, 18 hours, 32 minutes, 11 seconds
In other bases
ternary (3) 1220200020112
quaternary (4) 3320110223
quinary (5) 230022011
senary (6) 33444535
septenary (7) 11434253
nonary (9) 1820215
undecimal (11) 635205
duodecimal (12) 41074b
tridecimal (13) 297c6b
tetradecimal (14) 1c6963
pentadecimal (15) 15158b

As an angle

1,017,131° = 2,825 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓁨𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆𓎆𓏺
Chinese
一百零一萬七千一百三十一
Chinese (financial)
壹佰零壹萬柒仟壹佰參拾壹
In other modern scripts
Eastern Arabic ١٠١٧١٣١ Devanagari १०१७१३१ Bengali ১০১৭১৩১ Tamil ௧௦௧௭௧௩௧ Thai ๑๐๑๗๑๓๑ Tibetan ༡༠༡༧༡༣༡ Khmer ១០១៧១៣១ Lao ໑໐໑໗໑໓໑ Burmese ၁၀၁၇၁၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Hex color
#0F852B
RGB(15, 133, 43)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.133.43.

Address
0.15.133.43
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.133.43

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

Possible date

Could be parsed as a date. Most likely interpretation: Thursday, January 1, 7131 (MDDYYYY (US, single-digit month)).

Other possible interpretations (2)
  • 7131-10-01 (MMDYYYY (US, single-digit day))
  • 7131-01-10 (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 1,017,131 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.