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139,921

139,921 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.).

139,921 (one hundred thirty-nine thousand nine hundred twenty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x22291.

Arithmetic Number Centered Square Cube-Free Deficient Number Evil Number Prime Pythagorean Prime Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
486
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
129,931
Recamán's sequence
a(488,985) = 139,921
Square (n²)
19,577,886,241
Cube (n³)
2,739,357,420,726,961
Divisor count
2
σ(n) — sum of divisors
139,922
φ(n) — Euler's totient
139,920

Primality

139,921 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139921
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,921)
1 × 139921
First multiples
139,921 · 279,842 (double) · 419,763 · 559,684 · 699,605 · 839,526 · 979,447 · 1,119,368 · 1,259,289 · 1,399,210

Sums & aliquot sequence

As a sum of two squares: 264² + 265²
As consecutive integers: 69,960 + 69,961

Continued fraction of √n

√139,921 = [374; (16, 1, 1, 1, 1, 1, 10, 4, 1, 1, 2, 1, 1, 3, 2, 15, 6, 1, 3, 1, 30, 2, 1, 1, …)]

Representations

In words
one hundred thirty-nine thousand nine hundred twenty-one
Ordinal
139921st
Binary
100010001010010001
Octal
421221
Hexadecimal
0x22291
Base64
AiKR
One's complement
4,294,827,374 (32-bit)
Scientific notation
1.39921 × 10⁵
As a duration
139,921 s = 1 day, 14 hours, 52 minutes, 1 second
In other bases
ternary (3) 21002221021
quaternary (4) 202022101
quinary (5) 13434141
senary (6) 2555441
septenary (7) 1121635
nonary (9) 232837
undecimal (11) 96141
duodecimal (12) 68b81
tridecimal (13) 4b8c2
tetradecimal (14) 38dc5
pentadecimal (15) 2b6d1

As an angle

139,921° = 388 × 360° + 241°
241° ≈ 4.206 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλθϡκαʹ
Mayan (base 20)
𝋱·𝋩·𝋰·𝋡
Chinese
一十三萬九千九百二十一
Chinese (financial)
壹拾參萬玖仟玖佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٩٩٢١ Devanagari १३९९२१ Bengali ১৩৯৯২১ Tamil ௧௩௯௯௨௧ Thai ๑๓๙๙๒๑ Tibetan ༡༣༩༩༢༡ Khmer ១៣៩៩២១ Lao ໑໓໙໙໒໑ Burmese ၁၃၉၉၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𢊑
CJK Unified Ideograph-22291
U+22291
Other letter (Lo)

UTF-8 encoding: F0 A2 8A 91 (4 bytes).

Hex color
#022291
RGB(2, 34, 145)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.34.145.

Address
0.2.34.145
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.34.145

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 139,921 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 139921 first appears in π at position 994,815 of the decimal expansion (the 994,815ordinal-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.