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137,321

137,321 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.).

137,321 (one hundred thirty-seven thousand three 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, 0x21869.

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

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
17
Digit product
126
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
123,731
Recamán's sequence
a(37,446) = 137,321
Square (n²)
18,857,057,041
Cube (n³)
2,589,469,929,927,161
Divisor count
2
σ(n) — sum of divisors
137,322
φ(n) — Euler's totient
137,320

Primality

137,321 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137321
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,321)
1 × 137321
First multiples
137,321 · 274,642 (double) · 411,963 · 549,284 · 686,605 · 823,926 · 961,247 · 1,098,568 · 1,235,889 · 1,373,210

Sums & aliquot sequence

As a sum of two squares: 64² + 365²
As consecutive integers: 68,660 + 68,661

Continued fraction of √n

√137,321 = [370; (1, 1, 3, 6, 1, 1, 1, 3, 1, 1, 1, 2, 1, 2, 105, 1, 1, 25, 18, 2, 22, 1, 2, 14, …)]

Representations

In words
one hundred thirty-seven thousand three hundred twenty-one
Ordinal
137321st
Binary
100001100001101001
Octal
414151
Hexadecimal
0x21869
Base64
Ahhp
One's complement
4,294,829,974 (32-bit)
Scientific notation
1.37321 × 10⁵
As a duration
137,321 s = 1 day, 14 hours, 8 minutes, 41 seconds
In other bases
ternary (3) 20222100222
quaternary (4) 201201221
quinary (5) 13343241
senary (6) 2535425
septenary (7) 1111232
nonary (9) 228328
undecimal (11) 94198
duodecimal (12) 67575
tridecimal (13) 4a672
tetradecimal (14) 38089
pentadecimal (15) 2aa4b

As an angle

137,321° = 381 × 360° + 161°
161° ≈ 2.81 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺
Greek (Milesian)
͵ρλζτκαʹ
Mayan (base 20)
𝋱·𝋣·𝋦·𝋡
Chinese
一十三萬七千三百二十一
Chinese (financial)
壹拾參萬柒仟參佰貳拾壹
In other modern scripts
Eastern Arabic ١٣٧٣٢١ Devanagari १३७३२१ Bengali ১৩৭৩২১ Tamil ௧௩௭௩௨௧ Thai ๑๓๗๓๒๑ Tibetan ༡༣༧༣༢༡ Khmer ១៣៧៣២១ Lao ໑໓໗໓໒໑ Burmese ၁၃၇၃၂၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡡩
CJK Unified Ideograph-21869
U+21869
Other letter (Lo)

UTF-8 encoding: F0 A1 A1 A9 (4 bytes).

Hex color
#021869
RGB(2, 24, 105)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.105.

Address
0.2.24.105
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.105

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 137,321 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.