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139,091

139,091 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.).

139,091 (one hundred thirty-nine thousand ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21F53.

Arithmetic Number Chen Prime Cube-Free Deficient Number Evil Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
190,931
Recamán's sequence
a(490,645) = 139,091
Square (n²)
19,346,306,281
Cube (n³)
2,690,897,086,930,571
Divisor count
2
σ(n) — sum of divisors
139,092
φ(n) — Euler's totient
139,090

Primality

139,091 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139091
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,091)
1 × 139091
First multiples
139,091 · 278,182 (double) · 417,273 · 556,364 · 695,455 · 834,546 · 973,637 · 1,112,728 · 1,251,819 · 1,390,910

Sums & aliquot sequence

As consecutive integers: 69,545 + 69,546

Continued fraction of √n

√139,091 = [372; (1, 18, 1, 1, 1, 2, 2, 1, 1, 1, 1, 4, 1, 1, 7, 1, 1, 1, 5, 4, 1, 1, 5, 5, …)]

Representations

In words
one hundred thirty-nine thousand ninety-one
Ordinal
139091st
Binary
100001111101010011
Octal
417523
Hexadecimal
0x21F53
Base64
Ah9T
One's complement
4,294,828,204 (32-bit)
Scientific notation
1.39091 × 10⁵
As a duration
139,091 s = 1 day, 14 hours, 38 minutes, 11 seconds
In other bases
ternary (3) 21001210112
quaternary (4) 201331103
quinary (5) 13422331
senary (6) 2551535
septenary (7) 1116341
nonary (9) 231715
undecimal (11) 95557
duodecimal (12) 685ab
tridecimal (13) 4b404
tetradecimal (14) 38991
pentadecimal (15) 2b32b

As an angle

139,091° = 386 × 360° + 131°
131° ≈ 2.286 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλθϟαʹ
Mayan (base 20)
𝋱·𝋧·𝋮·𝋫
Chinese
一十三萬九千零九十一
Chinese (financial)
壹拾參萬玖仟零玖拾壹
In other modern scripts
Eastern Arabic ١٣٩٠٩١ Devanagari १३९०९१ Bengali ১৩৯০৯১ Tamil ௧௩௯௦௯௧ Thai ๑๓๙๐๙๑ Tibetan ༡༣༩༠༩༡ Khmer ១៣៩០៩១ Lao ໑໓໙໐໙໑ Burmese ၁၃၉၀၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡽓
CJK Unified Ideograph-21F53
U+21F53
Other letter (Lo)

UTF-8 encoding: F0 A1 BD 93 (4 bytes).

Hex color
#021F53
RGB(2, 31, 83)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.31.83.

Address
0.2.31.83
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.31.83

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 139,091 and was likely granted around 1872.

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

Position in π

The digit sequence 139091 first appears in π at position 479,365 of the decimal expansion (the 479,365ordinal-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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.