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139,991

139,991 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.).

139,991 (one hundred thirty-nine thousand nine hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x222D7.

Arithmetic Number Cousin Prime Cube-Free Deficient Number Emirp Odious Number Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
2,187
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
199,931
Recamán's sequence
a(488,845) = 139,991
Square (n²)
19,597,480,081
Cube (n³)
2,743,470,834,019,271
Divisor count
2
σ(n) — sum of divisors
139,992
φ(n) — Euler's totient
139,990

Primality

139,991 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139991
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,991)
1 × 139991
First multiples
139,991 · 279,982 (double) · 419,973 · 559,964 · 699,955 · 839,946 · 979,937 · 1,119,928 · 1,259,919 · 1,399,910

Sums & aliquot sequence

As consecutive integers: 69,995 + 69,996

Continued fraction of √n

√139,991 = [374; (6, 1, 1, 43, 2, 11, 1, 3, 2, 2, 6, 1, 5, 1, 15, 14, 1, 9, 3, 6, 1, 1, 5, 2, …)]

Representations

In words
one hundred thirty-nine thousand nine hundred ninety-one
Ordinal
139991st
Binary
100010001011010111
Octal
421327
Hexadecimal
0x222D7
Base64
AiLX
One's complement
4,294,827,304 (32-bit)
Scientific notation
1.39991 × 10⁵
As a duration
139,991 s = 1 day, 14 hours, 53 minutes, 11 seconds
In other bases
ternary (3) 21010000212
quaternary (4) 202023113
quinary (5) 13434431
senary (6) 3000035
septenary (7) 1122065
nonary (9) 233025
undecimal (11) 961a5
duodecimal (12) 6901b
tridecimal (13) 4b947
tetradecimal (14) 39035
pentadecimal (15) 2b72b

As an angle

139,991° = 388 × 360° + 311°
311° ≈ 5.428 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλθϡϟαʹ
Mayan (base 20)
𝋱·𝋩·𝋳·𝋫
Chinese
一十三萬九千九百九十一
Chinese (financial)
壹拾參萬玖仟玖佰玖拾壹
In other modern scripts
Eastern Arabic ١٣٩٩٩١ Devanagari १३९९९१ Bengali ১৩৯৯৯১ Tamil ௧௩௯௯௯௧ Thai ๑๓๙๙๙๑ Tibetan ༡༣༩༩༩༡ Khmer ១៣៩៩៩១ Lao ໑໓໙໙໙໑ Burmese ၁၃၉၉၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: cousin with 139987.

Unicode codepoint
𢋗
CJK Unified Ideograph-222D7
U+222D7
Other letter (Lo)

UTF-8 encoding: F0 A2 8B 97 (4 bytes).

Hex color
#0222D7
RGB(2, 34, 215)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.34.215.

Address
0.2.34.215
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.34.215

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 139,991 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 139991 first appears in π at position 127,144 of the decimal expansion (the 127,144ordinal-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.