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137,399

137,399 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.).

137,399 (one hundred thirty-seven thousand three hundred ninety-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x218B7.

Arithmetic Number Chen Prime Cube-Free Deficient Number Happy Number Odious Number Prime Recamán's Sequence Safe Prime Sexy Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
32
Digit product
5,103
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
993,731
Recamán's sequence
a(37,602) = 137,399
Square (n²)
18,878,485,201
Cube (n³)
2,593,884,988,132,199
Divisor count
2
σ(n) — sum of divisors
137,400
φ(n) — Euler's totient
137,398

Primality

137,399 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137399
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,399)
1 × 137399
First multiples
137,399 · 274,798 (double) · 412,197 · 549,596 · 686,995 · 824,394 · 961,793 · 1,099,192 · 1,236,591 · 1,373,990

Sums & aliquot sequence

As consecutive integers: 68,699 + 68,700

Continued fraction of √n

√137,399 = [370; (1, 2, 15, 2, 3, 1, 1, 1, 11, 3, 6, 1, 1, 1, 1, 8, 2, 3, 2, 1, 6, 1, 1, 147, …)]

Representations

In words
one hundred thirty-seven thousand three hundred ninety-nine
Ordinal
137399th
Binary
100001100010110111
Octal
414267
Hexadecimal
0x218B7
Base64
Ahi3
One's complement
4,294,829,896 (32-bit)
Scientific notation
1.37399 × 10⁵
As a duration
137,399 s = 1 day, 14 hours, 9 minutes, 59 seconds
In other bases
ternary (3) 20222110212
quaternary (4) 201202313
quinary (5) 13344044
senary (6) 2540035
septenary (7) 1111403
nonary (9) 228425
undecimal (11) 94259
duodecimal (12) 6761b
tridecimal (13) 4a702
tetradecimal (14) 38103
pentadecimal (15) 2aa9e

As an angle

137,399° = 381 × 360° + 239°
239° ≈ 4.171 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτϟθʹ
Mayan (base 20)
𝋱·𝋣·𝋩·𝋳
Chinese
一十三萬七千三百九十九
Chinese (financial)
壹拾參萬柒仟參佰玖拾玖
In other modern scripts
Eastern Arabic ١٣٧٣٩٩ Devanagari १३७३९९ Bengali ১৩৭৩৯৯ Tamil ௧௩௭௩௯௯ Thai ๑๓๗๓๙๙ Tibetan ༡༣༧༣༩༩ Khmer ១៣៧៣៩៩ Lao ໑໓໗໓໙໙ Burmese ၁၃၇၃၉၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137393.

Unicode codepoint
𡢷
CJK Unified Ideograph-218B7
U+218B7
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 B7 (4 bytes).

Hex color
#0218B7
RGB(2, 24, 183)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.183.

Address
0.2.24.183
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.183

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 137,399 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.