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139,721

139,721 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.).

139,721 (one hundred thirty-nine thousand seven 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, 0x221C9.

Arithmetic Number Chen Prime Cube-Free Deficient Number Emirp Odious Number Pernicious Number Prime Pythagorean Prime Recamán's Sequence Sophie Germain Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
23
Digit product
378
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
127,931
Recamán's sequence
a(489,385) = 139,721
Square (n²)
19,521,957,841
Cube (n³)
2,727,627,471,502,361
Divisor count
2
σ(n) — sum of divisors
139,722
φ(n) — Euler's totient
139,720

Primality

139,721 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 139721
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 139,721)
1 × 139721
First multiples
139,721 · 279,442 (double) · 419,163 · 558,884 · 698,605 · 838,326 · 978,047 · 1,117,768 · 1,257,489 · 1,397,210

Sums & aliquot sequence

As a sum of two squares: 85² + 364²
As consecutive integers: 69,860 + 69,861

Continued fraction of √n

√139,721 = [373; (1, 3, 1, 4, 1, 2, 3, 3, 25, 2, 9, 1, 3, 106, 1, 1, 5, 2, 11, 23, 3, 1, 1, 1, …)]

Representations

In words
one hundred thirty-nine thousand seven hundred twenty-one
Ordinal
139721st
Binary
100010000111001001
Octal
420711
Hexadecimal
0x221C9
Base64
AiHJ
One's complement
4,294,827,574 (32-bit)
Scientific notation
1.39721 × 10⁵
As a duration
139,721 s = 1 day, 14 hours, 48 minutes, 41 seconds
In other bases
ternary (3) 21002122212
quaternary (4) 202013021
quinary (5) 13432341
senary (6) 2554505
septenary (7) 1121231
nonary (9) 232585
undecimal (11) 95a7a
duodecimal (12) 68a35
tridecimal (13) 4b79a
tetradecimal (14) 38cc1
pentadecimal (15) 2b5eb

As an angle

139,721° = 388 × 360° + 41°
41° ≈ 0.716 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλθψκαʹ
Mayan (base 20)
𝋱·𝋩·𝋦·𝋡
Chinese
一十三萬九千七百二十一
Chinese (financial)
壹拾參萬玖仟柒佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٩٧٢١ Devanagari १३९७२१ Bengali ১৩৯৭২১ Tamil ௧௩௯௭௨௧ Thai ๑๓๙๗๒๑ Tibetan ༡༣༩༧༢༡ Khmer ១៣៩៧២១ Lao ໑໓໙໗໒໑ Burmese ၁၃၉၇၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𢇉
CJK Unified Ideograph-221C9
U+221C9
Other letter (Lo)

UTF-8 encoding: F0 A2 87 89 (4 bytes).

Hex color
#0221C9
RGB(2, 33, 201)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.33.201.

Address
0.2.33.201
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.33.201

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 139,721 and was likely granted around 1872.

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.
  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.