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137,491

137,491 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.).

137,491 (one hundred thirty-seven thousand four hundred ninety-one) is an odd 6-digit number. It is a prime number — divisible only by 1 and itself. Written other ways, in hexadecimal, 0x21913.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Prime Squarefree

Interestingness

Properties

Parity
Odd
Digit count
6
Digit sum
25
Digit product
756
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
194,731
Square (n²)
18,903,775,081
Cube (n³)
2,599,098,939,661,771
Divisor count
2
σ(n) — sum of divisors
137,492
φ(n) — Euler's totient
137,490

Primality

137,491 is prime. It has exactly two divisors: 1 and itself.

Divisors & multiples

All divisors (2)
1 · 137491
Aliquot sum (sum of proper divisors): 1
Factor pairs (a × b = 137,491)
1 × 137491
First multiples
137,491 · 274,982 (double) · 412,473 · 549,964 · 687,455 · 824,946 · 962,437 · 1,099,928 · 1,237,419 · 1,374,910

Sums & aliquot sequence

As consecutive integers: 68,745 + 68,746

Continued fraction of √n

√137,491 = [370; (1, 3, 1, 17, 3, 2, 9, 1, 1, 2, 4, 1, 1, 15, 1, 13, 18, 1, 16, 1, 2, 2, 3, 1, …)]

Representations

In words
one hundred thirty-seven thousand four hundred ninety-one
Ordinal
137491st
Binary
100001100100010011
Octal
414423
Hexadecimal
0x21913
Base64
AhkT
One's complement
4,294,829,804 (32-bit)
Scientific notation
1.37491 × 10⁵
As a duration
137,491 s = 1 day, 14 hours, 11 minutes, 31 seconds
In other bases
ternary (3) 20222121021
quaternary (4) 201210103
quinary (5) 13344431
senary (6) 2540311
septenary (7) 1111564
nonary (9) 228537
undecimal (11) 94332
duodecimal (12) 67697
tridecimal (13) 4a773
tetradecimal (14) 3816b
pentadecimal (15) 2ab11

As an angle

137,491° = 381 × 360° + 331°
331° ≈ 5.777 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹 𒌋𒌋𒌋𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺
Greek (Milesian)
͵ρλζυϟαʹ
Mayan (base 20)
𝋱·𝋣·𝋮·𝋫
Chinese
一十三萬七千四百九十一
Chinese (financial)
壹拾參萬柒仟肆佰玖拾壹
In other modern scripts
Eastern Arabic ١٣٧٤٩١ Devanagari १३७४९१ Bengali ১৩৭৪৯১ Tamil ௧௩௭௪௯௧ Thai ๑๓๗๔๙๑ Tibetan ༡༣༧༤༩༡ Khmer ១៣៧៤៩១ Lao ໑໓໗໔໙໑ Burmese ၁၃၇၄၉၁

Also seen as

Prime neighborhood

Adjacent primes:

Unicode codepoint
𡤓
CJK Unified Ideograph-21913
U+21913
Other letter (Lo)

UTF-8 encoding: F0 A1 A4 93 (4 bytes).

Hex color
#021913
RGB(2, 25, 19)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.19.

Address
0.2.25.19
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.19

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 137,491 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 137491 first appears in π at position 507,672 of the decimal expansion (the 507,672ordinal-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.
  • Egyptian hieroglyphic numerals — Seven hieroglyphs for every power of ten, from a single stroke to a million.