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137,672

137,672 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.).

137,672 (one hundred thirty-seven thousand six hundred seventy-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 17,209. Written other ways, in hexadecimal, 0x219C8.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
1,764
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
276,731
Recamán's sequence
a(493,483) = 137,672
Square (n²)
18,953,579,584
Cube (n³)
2,609,377,208,488,448
Divisor count
8
σ(n) — sum of divisors
258,150
φ(n) — Euler's totient
68,832
Sum of prime factors
17,215

Primality

Prime factorization: 2 3 × 17209

Nearest primes: 137,659 (−13) · 137,699 (+27)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 17209 · 34418 · 68836 (half) · 137672
Aliquot sum (sum of proper divisors): 120,478
Factor pairs (a × b = 137,672)
1 × 137672
2 × 68836
4 × 34418
8 × 17209
First multiples
137,672 · 275,344 (double) · 413,016 · 550,688 · 688,360 · 826,032 · 963,704 · 1,101,376 · 1,239,048 · 1,376,720

Sums & aliquot sequence

As a sum of two squares: 134² + 346²
As consecutive integers: 8,597 + 8,598 + … + 8,612
Aliquot sequence: 137,672 120,478 63,482 31,744 33,760 46,376 57,304 68,696 64,744 56,666 31,354 16,634 8,320 13,100 15,544 15,056 14,146 — unresolved within range

Continued fraction of √n

√137,672 = [371; (23, 1, 14, 1, 4, 1, 9, 1, 1, 1, 1, 1, 2, 1, 2, 2, 1, 1, 1, 2, 92, 2, 1, 1, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand six hundred seventy-two
Ordinal
137672nd
Binary
100001100111001000
Octal
414710
Hexadecimal
0x219C8
Base64
AhnI
One's complement
4,294,829,623 (32-bit)
Scientific notation
1.37672 × 10⁵
As a duration
137,672 s = 1 day, 14 hours, 14 minutes, 32 seconds
In other bases
ternary (3) 20222211222
quaternary (4) 201213020
quinary (5) 13401142
senary (6) 2541212
septenary (7) 1112243
nonary (9) 228758
undecimal (11) 94487
duodecimal (12) 67808
tridecimal (13) 4a882
tetradecimal (14) 3825a
pentadecimal (15) 2abd2

As an angle

137,672° = 382 × 360° + 152°
152° ≈ 2.653 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζχοβʹ
Mayan (base 20)
𝋱·𝋤·𝋣·𝋬
Chinese
一十三萬七千六百七十二
Chinese (financial)
壹拾參萬柒仟陸佰柒拾貳
In other modern scripts
Eastern Arabic ١٣٧٦٧٢ Devanagari १३७६७२ Bengali ১৩৭৬৭২ Tamil ௧௩௭௬௭௨ Thai ๑๓๗๖๗๒ Tibetan ༡༣༧༦༧༢ Khmer ១៣៧៦៧២ Lao ໑໓໗໖໗໒ Burmese ၁၃၇၆၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137672, here are decompositions:

  • 13 + 137659 = 137672
  • 19 + 137653 = 137672
  • 79 + 137593 = 137672
  • 181 + 137491 = 137672
  • 229 + 137443 = 137672
  • 313 + 137359 = 137672
  • 331 + 137341 = 137672
  • 421 + 137251 = 137672

Showing the first eight; more decompositions exist.

Unicode codepoint
𡧈
CJK Unified Ideograph-219C8
U+219C8
Other letter (Lo)

UTF-8 encoding: F0 A1 A7 88 (4 bytes).

Hex color
#0219C8
RGB(2, 25, 200)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.200.

Address
0.2.25.200
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.200

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 137,672 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

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