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991,031

991,031 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.).

991,031 (nine hundred ninety-one thousand thirty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0xF1F37.

Arithmetic Number Chen Prime Cousin Prime Cube-Free Deficient Number Emirp Evil Number Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
20 bits
Reversed
130,199
Square (n²)
982,142,442,961
Cube (n³)
973,333,607,390,082,791
Divisor count
2
σ(n) — sum of divisors
991,032
φ(n) — Euler's totient
991,030

Primality

991,031 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 991031
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 991,031)
1 × 991031
First multiples
991,031 · 1,982,062 (double) · 2,973,093 · 3,964,124 · 4,955,155 · 5,946,186 · 6,937,217 · 7,928,248 · 8,919,279 · 9,910,310

Sums & aliquot sequence

As consecutive integers: 495,515 + 495,516

Continued fraction of √n

√991,031 = [995; (1, 1, 45, 1, 4, 16, 8, 2, 2, 3, 2, 1, 5, 3, 7, 3, 1, 1, 14, 1, 1, 1, 2, 2, …)]

Representations

In words
nine hundred ninety-one thousand thirty-one
Ordinal
991031st
Binary
11110001111100110111
Octal
3617467
Hexadecimal
0xF1F37
Base64
Dx83
One's complement
4,293,976,264 (32-bit)
Scientific notation
9.91031 × 10⁵
As a duration
991,031 s = 11 days, 11 hours, 17 minutes, 11 seconds
In other bases
ternary (3) 1212100102212
quaternary (4) 3301330313
quinary (5) 223203111
senary (6) 33124035
septenary (7) 11265206
nonary (9) 1770385
undecimal (11) 617638
duodecimal (12) 3b961b
tridecimal (13) 289112
tetradecimal (14) 1bb23d
pentadecimal (15) 14898b

As an angle

991,031° = 2,752 × 360° + 311°
311° ≈ 5.428 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ϡϟαλαʹ
Chinese
九十九萬一千零三十一
Chinese (financial)
玖拾玖萬壹仟零參拾壹
In other modern scripts
Eastern Arabic ٩٩١٠٣١ Devanagari ९९१०३१ Bengali ৯৯১০৩১ Tamil ௯௯௧௦௩௧ Thai ๙๙๑๐๓๑ Tibetan ༩༩༡༠༣༡ Khmer ៩៩១០៣១ Lao ໙໙໑໐໓໑ Burmese ၉၉၁၀၃၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 991027, sexy with 991037.

Hex color
#0F1F37
RGB(15, 31, 55)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.15.31.55.

Address
0.15.31.55
Class
reserved
IPv4-mapped IPv6
::ffff:0.15.31.55

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

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 991,031 and was likely granted around 1911.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 991031 first appears in π at position 416,479 of the decimal expansion (the 416,479ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

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.