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137,341

137,341 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.).

137,341 (one hundred thirty-seven thousand three hundred forty-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x2187D.

Arithmetic Number Cube-Free Deficient Number Odious Number Prime Pythagorean Prime Recamán's Sequence Squarefree Twin Prime

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
19
Digit product
252
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
143,731
Recamán's sequence
a(37,486) = 137,341
Square (n²)
18,862,550,281
Cube (n³)
2,590,601,518,142,821
Divisor count
2
σ(n) — sum of divisors
137,342
φ(n) — Euler's totient
137,340

Primality

137,341 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137341
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,341)
1 × 137341
First multiples
137,341 · 274,682 (double) · 412,023 · 549,364 · 686,705 · 824,046 · 961,387 · 1,098,728 · 1,236,069 · 1,373,410

Sums & aliquot sequence

As a sum of two squares: 21² + 370²
As consecutive integers: 68,670 + 68,671

Continued fraction of √n

√137,341 = [370; (1, 1, 2, 8, 2, 2, 1, 3, 1, 1, 10, 5, 2, 10, 1, 18, 10, 1, 5, 1, 1, 6, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand three hundred forty-one
Ordinal
137341st
Binary
100001100001111101
Octal
414175
Hexadecimal
0x2187D
Base64
Ahh9
One's complement
4,294,829,954 (32-bit)
Scientific notation
1.37341 × 10⁵
As a duration
137,341 s = 1 day, 14 hours, 9 minutes, 1 second
In other bases
ternary (3) 20222101201
quaternary (4) 201201331
quinary (5) 13343331
senary (6) 2535501
septenary (7) 1111261
nonary (9) 228351
undecimal (11) 94206
duodecimal (12) 67591
tridecimal (13) 4a689
tetradecimal (14) 380a1
pentadecimal (15) 2aa61

As an angle

137,341° = 381 × 360° + 181°
181° ≈ 3.159 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλζτμαʹ
Mayan (base 20)
𝋱·𝋣·𝋧·𝋡
Chinese
一十三萬七千三百四十一
Chinese (financial)
壹拾參萬柒仟參佰肆拾壹
In other modern scripts
Eastern Arabic ١٣٧٣٤١ Devanagari १३७३४१ Bengali ১৩৭৩৪১ Tamil ௧௩௭௩௪௧ Thai ๑๓๗๓๔๑ Tibetan ༡༣༧༣༤༡ Khmer ១៣៧៣៤១ Lao ໑໓໗໓໔໑ Burmese ၁၃၇၃၄၁

Also seen as

Prime neighborhood

Adjacent primes:

Pair status: twin with 137339.

Unicode codepoint
𡡽
CJK Unified Ideograph-2187D
U+2187D
Other letter (Lo)

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

Hex color
#02187D
RGB(2, 24, 125)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.125.

Address
0.2.24.125
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.125

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 137,341 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 137341 first appears in π at position 116,411 of the decimal expansion (the 116,411ordinal-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.