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137,330

137,330 is a composite number, even.

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.).

137,330 (one hundred thirty-seven thousand three hundred thirty) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 31 × 443. Written other ways, in hexadecimal, 0x21872.

Arithmetic Number Cube-Free Deficient Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
33,731
Recamán's sequence
a(37,464) = 137,330
Square (n²)
18,859,528,900
Cube (n³)
2,589,979,103,837,000
Divisor count
16
σ(n) — sum of divisors
255,744
φ(n) — Euler's totient
53,040
Sum of prime factors
481

Primality

Prime factorization: 2 × 5 × 31 × 443

Nearest primes: 137,321 (−9) · 137,339 (+9)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 10 · 31 · 62 · 155 · 310 · 443 · 886 · 2215 · 4430 · 13733 · 27466 · 68665 (half) · 137330
Aliquot sum (sum of proper divisors): 118,414
Factor pairs (a × b = 137,330)
1 × 137330
2 × 68665
5 × 27466
10 × 13733
31 × 4430
62 × 2215
155 × 886
310 × 443
First multiples
137,330 · 274,660 (double) · 411,990 · 549,320 · 686,650 · 823,980 · 961,310 · 1,098,640 · 1,235,970 · 1,373,300

Sums & aliquot sequence

As consecutive integers: 34,331 + 34,332 + 34,333 + 34,334 27,464 + 27,465 + 27,466 + 27,467 + 27,468 6,857 + 6,858 + … + 6,876 4,415 + 4,416 + … + 4,445
Aliquot sequence: 137,330 118,414 59,210 51,382 29,114 14,560 27,776 37,504 37,466 29,062 18,530 17,110 15,290 14,950 16,298 9,082 5,318 — unresolved within range

Continued fraction of √n

√137,330 = [370; (1, 1, 2, 1, 1, 1, 1, 52, 3, 17, 1, 2, 1, 14, 2, 1, 1, 1, 3, 10, 6, 7, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand three hundred thirty
Ordinal
137330th
Binary
100001100001110010
Octal
414162
Hexadecimal
0x21872
Base64
Ahhy
One's complement
4,294,829,965 (32-bit)
Scientific notation
1.3733 × 10⁵
As a duration
137,330 s = 1 day, 14 hours, 8 minutes, 50 seconds
In other bases
ternary (3) 20222101022
quaternary (4) 201201302
quinary (5) 13343310
senary (6) 2535442
septenary (7) 1111244
nonary (9) 228338
undecimal (11) 941a6
duodecimal (12) 67582
tridecimal (13) 4a67b
tetradecimal (14) 38094
pentadecimal (15) 2aa55

As an angle

137,330° = 381 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆
Greek (Milesian)
͵ρλζτλʹ
Mayan (base 20)
𝋱·𝋣·𝋦·𝋪
Chinese
一十三萬七千三百三十
Chinese (financial)
壹拾參萬柒仟參佰參拾
In other modern scripts
Eastern Arabic ١٣٧٣٣٠ Devanagari १३७३३० Bengali ১৩৭৩৩০ Tamil ௧௩௭௩௩௦ Thai ๑๓๗๓๓๐ Tibetan ༡༣༧༣༣༠ Khmer ១៣៧៣៣០ Lao ໑໓໗໓໓໐ Burmese ၁၃၇၃၃၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137330, here are decompositions:

  • 79 + 137251 = 137330
  • 139 + 137191 = 137330
  • 199 + 137131 = 137330
  • 211 + 137119 = 137330
  • 241 + 137089 = 137330
  • 331 + 136999 = 137330
  • 337 + 136993 = 137330
  • 367 + 136963 = 137330

Showing the first eight; more decompositions exist.

Unicode codepoint
𡡲
CJK Unified Ideograph-21872
U+21872
Other letter (Lo)

UTF-8 encoding: F0 A1 A1 B2 (4 bytes).

Hex color
#021872
RGB(2, 24, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.114.

Address
0.2.24.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.114

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 137,330 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 137330 first appears in π at position 232,710 of the decimal expansion (the 232,710ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.