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137,272

137,272 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.).

137,272 (one hundred thirty-seven thousand two hundred seventy-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 17,159. Written other ways, in hexadecimal, 0x21838.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
588
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
272,731
Recamán's sequence
a(37,348) = 137,272
Square (n²)
18,843,601,984
Cube (n³)
2,586,698,931,547,648
Divisor count
8
σ(n) — sum of divisors
257,400
φ(n) — Euler's totient
68,632
Sum of prime factors
17,165

Primality

Prime factorization: 2 3 × 17159

Nearest primes: 137,251 (−21) · 137,273 (+1)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 17159 · 34318 · 68636 (half) · 137272
Aliquot sum (sum of proper divisors): 120,128
Factor pairs (a × b = 137,272)
1 × 137272
2 × 68636
4 × 34318
8 × 17159
First multiples
137,272 · 274,544 (double) · 411,816 · 549,088 · 686,360 · 823,632 · 960,904 · 1,098,176 · 1,235,448 · 1,372,720

Sums & aliquot sequence

As consecutive integers: 8,572 + 8,573 + … + 8,587
Aliquot sequence: 137,272 120,128 118,378 80,702 40,354 20,180 22,240 30,680 44,920 56,240 85,120 159,680 221,320 323,000 519,400 911,870 755,218 — unresolved within range

Continued fraction of √n

√137,272 = [370; (1, 1, 105, 2, 1, 3, 1, 14, 2, 1, 31, 1, 1, 5, 4, 4, 2, 1, 3, 30, 1, 1, 1, 1, …)]

Representations

In words
one hundred thirty-seven thousand two hundred seventy-two
Ordinal
137272nd
Binary
100001100000111000
Octal
414070
Hexadecimal
0x21838
Base64
Ahg4
One's complement
4,294,830,023 (32-bit)
Scientific notation
1.37272 × 10⁵
As a duration
137,272 s = 1 day, 14 hours, 7 minutes, 52 seconds
In other bases
ternary (3) 20222022011
quaternary (4) 201200320
quinary (5) 13343042
senary (6) 2535304
septenary (7) 1111132
nonary (9) 228264
undecimal (11) 94153
duodecimal (12) 67534
tridecimal (13) 4a635
tetradecimal (14) 38052
pentadecimal (15) 2aa17

As an angle

137,272° = 381 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζσοβʹ
Mayan (base 20)
𝋱·𝋣·𝋣·𝋬
Chinese
一十三萬七千二百七十二
Chinese (financial)
壹拾參萬柒仟貳佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٧٢٧٢ Devanagari १३७२७२ Bengali ১৩৭২৭২ Tamil ௧௩௭௨௭௨ Thai ๑๓๗๒๗๒ Tibetan ༡༣༧༢༧༢ Khmer ១៣៧២៧២ Lao ໑໓໗໒໗໒ Burmese ၁၃၇၂၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137272, here are decompositions:

  • 53 + 137219 = 137272
  • 71 + 137201 = 137272
  • 89 + 137183 = 137272
  • 281 + 136991 = 137272
  • 293 + 136979 = 137272
  • 383 + 136889 = 137272
  • 389 + 136883 = 137272
  • 431 + 136841 = 137272

Showing the first eight; more decompositions exist.

Unicode codepoint
𡠸
CJK Unified Ideograph-21838
U+21838
Other letter (Lo)

UTF-8 encoding: F0 A1 A0 B8 (4 bytes).

Hex color
#021838
RGB(2, 24, 56)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.56.

Address
0.2.24.56
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.56

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 137,272 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading