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137,372

137,372 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.).

137,372 (one hundred thirty-seven thousand three hundred seventy-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 61 × 563. Written other ways, in hexadecimal, 0x2189C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
882
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
273,731
Recamán's sequence
a(37,548) = 137,372
Square (n²)
18,871,066,384
Cube (n³)
2,592,356,131,302,848
Divisor count
12
σ(n) — sum of divisors
244,776
φ(n) — Euler's totient
67,440
Sum of prime factors
628

Primality

Prime factorization: 2 2 × 61 × 563

Nearest primes: 137,369 (−3) · 137,383 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 61 · 122 · 244 · 563 · 1126 · 2252 · 34343 · 68686 (half) · 137372
Aliquot sum (sum of proper divisors): 107,404
Factor pairs (a × b = 137,372)
1 × 137372
2 × 68686
4 × 34343
61 × 2252
122 × 1126
244 × 563
First multiples
137,372 · 274,744 (double) · 412,116 · 549,488 · 686,860 · 824,232 · 961,604 · 1,098,976 · 1,236,348 · 1,373,720

Sums & aliquot sequence

As consecutive integers: 17,168 + 17,169 + … + 17,175 2,222 + 2,223 + … + 2,282 38 + 39 + … + 525
Aliquot sequence: 137,372 107,404 97,724 88,924 88,484 80,524 64,124 62,884 49,116 65,516 59,644 59,524 49,340 54,316 43,572 58,124 52,924 — unresolved within range

Continued fraction of √n

√137,372 = [370; (1, 1, 1, 3, 8, 1, 1, 1, 12, 1, 1, 2, 1, 1, 12, 1, 1, 1, 8, 3, 1, 1, 1, 740)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred seventy-two
Ordinal
137372nd
Binary
100001100010011100
Octal
414234
Hexadecimal
0x2189C
Base64
Ahic
One's complement
4,294,829,923 (32-bit)
Scientific notation
1.37372 × 10⁵
As a duration
137,372 s = 1 day, 14 hours, 9 minutes, 32 seconds
In other bases
ternary (3) 20222102212
quaternary (4) 201202130
quinary (5) 13343442
senary (6) 2535552
septenary (7) 1111334
nonary (9) 228385
undecimal (11) 94234
duodecimal (12) 675b8
tridecimal (13) 4a6b1
tetradecimal (14) 380c4
pentadecimal (15) 2aa82

As an angle

137,372° = 381 × 360° + 212°
212° ≈ 3.7 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζτοβʹ
Mayan (base 20)
𝋱·𝋣·𝋨·𝋬
Chinese
一十三萬七千三百七十二
Chinese (financial)
壹拾參萬柒仟參佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٧٣٧٢ Devanagari १३७३७२ Bengali ১৩৭৩৭২ Tamil ௧௩௭௩௭௨ Thai ๑๓๗๓๗๒ Tibetan ༡༣༧༣༧༢ Khmer ១៣៧៣៧២ Lao ໑໓໗໓໗໒ Burmese ၁၃၇၃၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137372, here are decompositions:

  • 3 + 137369 = 137372
  • 13 + 137359 = 137372
  • 19 + 137353 = 137372
  • 31 + 137341 = 137372
  • 163 + 137209 = 137372
  • 181 + 137191 = 137372
  • 229 + 137143 = 137372
  • 241 + 137131 = 137372

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢜
CJK Unified Ideograph-2189C
U+2189C
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 9C (4 bytes).

Hex color
#02189C
RGB(2, 24, 156)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.156.

Address
0.2.24.156
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.156

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 137,372 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 137372 first appears in π at position 697,385 of the decimal expansion (the 697,385ordinal-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.