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137,332

137,332 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.).

137,332 (one hundred thirty-seven thousand three hundred thirty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 19 × 139. Written other ways, in hexadecimal, 0x21874.

Cube-Free Deficient Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
378
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
233,731
Recamán's sequence
a(37,468) = 137,332
Square (n²)
18,860,078,224
Cube (n³)
2,590,092,262,658,368
Divisor count
24
σ(n) — sum of divisors
274,400
φ(n) — Euler's totient
59,616
Sum of prime factors
175

Primality

Prime factorization: 2 2 × 13 × 19 × 139

Nearest primes: 137,321 (−11) · 137,339 (+7)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 19 · 26 · 38 · 52 · 76 · 139 · 247 · 278 · 494 · 556 · 988 · 1807 · 2641 · 3614 · 5282 · 7228 · 10564 · 34333 · 68666 (half) · 137332
Aliquot sum (sum of proper divisors): 137,068
Factor pairs (a × b = 137,332)
1 × 137332
2 × 68666
4 × 34333
13 × 10564
19 × 7228
26 × 5282
38 × 3614
52 × 2641
76 × 1807
139 × 988
247 × 556
278 × 494
First multiples
137,332 · 274,664 (double) · 411,996 · 549,328 · 686,660 · 823,992 · 961,324 · 1,098,656 · 1,235,988 · 1,373,320

Sums & aliquot sequence

As a sum of two cubes: 27³ + 49³
As consecutive integers: 17,163 + 17,164 + … + 17,170 10,558 + 10,559 + … + 10,570 7,219 + 7,220 + … + 7,237 1,269 + 1,270 + … + 1,372
Aliquot sequence: 137,332 137,068 102,808 93,752 82,048 81,662 66,178 51,902 25,954 15,086 8,794 4,400 7,132 5,356 4,836 7,708 6,404 — unresolved within range

Continued fraction of √n

√137,332 = [370; (1, 1, 2, 1, 1, 740)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred thirty-two
Ordinal
137332nd
Binary
100001100001110100
Octal
414164
Hexadecimal
0x21874
Base64
Ahh0
One's complement
4,294,829,963 (32-bit)
Scientific notation
1.37332 × 10⁵
As a duration
137,332 s = 1 day, 14 hours, 8 minutes, 52 seconds
In other bases
ternary (3) 20222101101
quaternary (4) 201201310
quinary (5) 13343312
senary (6) 2535444
septenary (7) 1111246
nonary (9) 228341
undecimal (11) 941a8
duodecimal (12) 67584
tridecimal (13) 4a680
tetradecimal (14) 38096
pentadecimal (15) 2aa57

As an angle

137,332° = 381 × 360° + 172°
172° ≈ 3.002 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζτλβʹ
Mayan (base 20)
𝋱·𝋣·𝋦·𝋬
Chinese
一十三萬七千三百三十二
Chinese (financial)
壹拾參萬柒仟參佰參拾貳
In other modern scripts
Eastern Arabic ١٣٧٣٣٢ Devanagari १३७३३२ Bengali ১৩৭৩৩২ Tamil ௧௩௭௩௩௨ Thai ๑๓๗๓๓๒ Tibetan ༡༣༧༣༣༢ Khmer ១៣៧៣៣២ Lao ໑໓໗໓໓໒ Burmese ၁၃၇၃၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137332, here are decompositions:

  • 11 + 137321 = 137332
  • 29 + 137303 = 137332
  • 53 + 137279 = 137332
  • 59 + 137273 = 137332
  • 113 + 137219 = 137332
  • 131 + 137201 = 137332
  • 149 + 137183 = 137332
  • 179 + 137153 = 137332

Showing the first eight; more decompositions exist.

Unicode codepoint
𡡴
CJK Unified Ideograph-21874
U+21874
Other letter (Lo)

UTF-8 encoding: F0 A1 A1 B4 (4 bytes).

Hex color
#021874
RGB(2, 24, 116)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.116.

Address
0.2.24.116
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.116

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 137,332 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 137332 first appears in π at position 314,157 of the decimal expansion (the 314,157ordinal-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