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137,264

137,264 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.).

137,264 (one hundred thirty-seven thousand two hundred sixty-four) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 23 × 373. Its proper divisors sum to 140,992, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21830.

Abundant Number Harshad / Niven Odious Number Pernicious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
1,008
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
462,731
Recamán's sequence
a(37,332) = 137,264
Square (n²)
18,841,405,696
Cube (n³)
2,586,246,711,455,744
Divisor count
20
σ(n) — sum of divisors
278,256
φ(n) — Euler's totient
65,472
Sum of prime factors
404

Primality

Prime factorization: 2 4 × 23 × 373

Nearest primes: 137,251 (−13) · 137,273 (+9)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 23 · 46 · 92 · 184 · 368 · 373 · 746 · 1492 · 2984 · 5968 · 8579 · 17158 · 34316 · 68632 (half) · 137264
Aliquot sum (sum of proper divisors): 140,992
Factor pairs (a × b = 137,264)
1 × 137264
2 × 68632
4 × 34316
8 × 17158
16 × 8579
23 × 5968
46 × 2984
92 × 1492
184 × 746
368 × 373
First multiples
137,264 · 274,528 (double) · 411,792 · 549,056 · 686,320 · 823,584 · 960,848 · 1,098,112 · 1,235,376 · 1,372,640

Sums & aliquot sequence

As consecutive integers: 5,957 + 5,958 + … + 5,979 4,274 + 4,275 + … + 4,305 182 + 183 + … + 554
Aliquot sequence: 137,264 140,992 138,916 104,194 54,926 30,394 26,054 18,634 16,502 9,034 4,520 5,740 8,372 10,444 10,500 24,444 46,900 — unresolved within range

Continued fraction of √n

√137,264 = [370; (2, 29, 7, 6, 4, 14, 105, 1, 3, 1, 1, 1, 3, 1, 1, 2, 4, 4, 6, 2, 1, 1, 1, 2, …)]

Representations

In words
one hundred thirty-seven thousand two hundred sixty-four
Ordinal
137264th
Binary
100001100000110000
Octal
414060
Hexadecimal
0x21830
Base64
Ahgw
One's complement
4,294,830,031 (32-bit)
Scientific notation
1.37264 × 10⁵
As a duration
137,264 s = 1 day, 14 hours, 7 minutes, 44 seconds
In other bases
ternary (3) 20222021212
quaternary (4) 201200300
quinary (5) 13343024
senary (6) 2535252
septenary (7) 1111121
nonary (9) 228255
undecimal (11) 94146
duodecimal (12) 67528
tridecimal (13) 4a62a
tetradecimal (14) 38048
pentadecimal (15) 2aa0e

As an angle

137,264° = 381 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζσξδʹ
Mayan (base 20)
𝋱·𝋣·𝋣·𝋤
Chinese
一十三萬七千二百六十四
Chinese (financial)
壹拾參萬柒仟貳佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٧٢٦٤ Devanagari १३७२६४ Bengali ১৩৭২৬৪ Tamil ௧௩௭௨௬௪ Thai ๑๓๗๒๖๔ Tibetan ༡༣༧༢༦༤ Khmer ១៣៧២៦៤ Lao ໑໓໗໒໖໔ Burmese ၁၃၇၂၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137264, here are decompositions:

  • 13 + 137251 = 137264
  • 67 + 137197 = 137264
  • 73 + 137191 = 137264
  • 271 + 136993 = 137264
  • 277 + 136987 = 137264
  • 313 + 136951 = 137264
  • 367 + 136897 = 137264
  • 487 + 136777 = 137264

Showing the first eight; more decompositions exist.

Unicode codepoint
𡠰
CJK Unified Ideograph-21830
U+21830
Other letter (Lo)

UTF-8 encoding: F0 A1 A0 B0 (4 bytes).

Hex color
#021830
RGB(2, 24, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.48.

Address
0.2.24.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.48

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 137,264 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.