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137,279

137,279 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.).

137,279 (one hundred thirty-seven thousand two hundred seventy-nine) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2183F.

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
29
Digit product
2,646
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
972,731
Recamán's sequence
a(37,362) = 137,279
Square (n²)
18,845,523,841
Cube (n³)
2,587,094,667,368,639
Divisor count
2
σ(n) — sum of divisors
137,280
φ(n) — Euler's totient
137,278

Primality

137,279 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137279
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,279)
1 × 137279
First multiples
137,279 · 274,558 (double) · 411,837 · 549,116 · 686,395 · 823,674 · 960,953 · 1,098,232 · 1,235,511 · 1,372,790

Sums & aliquot sequence

As consecutive integers: 68,639 + 68,640

Continued fraction of √n

√137,279 = [370; (1, 1, 20, 1, 2, 21, 2, 5, 4, 1, 2, 1, 1, 1, 3, 2, 3, 2, 5, 1, 5, 2, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand two hundred seventy-nine
Ordinal
137279th
Binary
100001100000111111
Octal
414077
Hexadecimal
0x2183F
Base64
Ahg/
One's complement
4,294,830,016 (32-bit)
Scientific notation
1.37279 × 10⁵
As a duration
137,279 s = 1 day, 14 hours, 7 minutes, 59 seconds
In other bases
ternary (3) 20222022102
quaternary (4) 201200333
quinary (5) 13343104
senary (6) 2535315
septenary (7) 1111142
nonary (9) 228272
undecimal (11) 9415a
duodecimal (12) 6753b
tridecimal (13) 4a63c
tetradecimal (14) 38059
pentadecimal (15) 2aa1e

As an angle

137,279° = 381 × 360° + 119°
119° ≈ 2.077 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζσοθʹ
Mayan (base 20)
𝋱·𝋣·𝋣·𝋳
Chinese
一十三萬七千二百七十九
Chinese (financial)
壹拾參萬柒仟貳佰柒拾玖
In other modern scripts
Eastern Arabic ١٣٧٢٧٩ Devanagari १३७२७९ Bengali ১৩৭২৭৯ Tamil ௧௩௭௨௭௯ Thai ๑๓๗๒๗๙ Tibetan ༡༣༧༢༧༩ Khmer ១៣៧២៧៩ Lao ໑໓໗໒໗໙ Burmese ၁၃၇၂၇၉

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: sexy with 137273.

Unicode codepoint
𡠿
CJK Unified Ideograph-2183F
U+2183F
Other letter (Lo)

UTF-8 encoding: F0 A1 A0 BF (4 bytes).

Hex color
#02183F
RGB(2, 24, 63)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.63.

Address
0.2.24.63
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.63

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 137,279 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 137279 first appears in π at position 23,432 of the decimal expansion (the 23,432ordinal-suffix:nd 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.