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137,632

137,632 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.).

137,632 (one hundred thirty-seven thousand six hundred thirty-two) is an even 6-digit number. It is a composite number with 48 divisors, and factors as 2⁵ × 11 × 17 × 23. Its proper divisors sum to 188,960, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x219A0.

Abundant Number Arithmetic Number Evil Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
756
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
236,731
Recamán's sequence
a(493,563) = 137,632
Square (n²)
18,942,567,424
Cube (n³)
2,607,103,439,699,968
Divisor count
48
σ(n) — sum of divisors
326,592
φ(n) — Euler's totient
56,320
Sum of prime factors
61

Primality

Prime factorization: 2 5 × 11 × 17 × 23

Nearest primes: 137,623 (−9) · 137,633 (+1)

Divisors & multiples

All divisors (48)
1 · 2 · 4 · 8 · 11 · 16 · 17 · 22 · 23 · 32 · 34 · 44 · 46 · 68 · 88 · 92 · 136 · 176 · 184 · 187 · 253 · 272 · 352 · 368 · 374 · 391 · 506 · 544 · 736 · 748 · 782 · 1012 · 1496 · 1564 · 2024 · 2992 · 3128 · 4048 · 4301 · 5984 · 6256 · 8096 · 8602 · 12512 · 17204 · 34408 · 68816 (half) · 137632
Aliquot sum (sum of proper divisors): 188,960
Factor pairs (a × b = 137,632)
1 × 137632
2 × 68816
4 × 34408
8 × 17204
11 × 12512
16 × 8602
17 × 8096
22 × 6256
23 × 5984
32 × 4301
34 × 4048
44 × 3128
46 × 2992
68 × 2024
88 × 1564
92 × 1496
136 × 1012
176 × 782
184 × 748
187 × 736
253 × 544
272 × 506
352 × 391
368 × 374
First multiples
137,632 · 275,264 (double) · 412,896 · 550,528 · 688,160 · 825,792 · 963,424 · 1,101,056 · 1,238,688 · 1,376,320

Sums & aliquot sequence

As consecutive integers: 12,507 + 12,508 + … + 12,517 8,088 + 8,089 + … + 8,104 5,973 + 5,974 + … + 5,995 2,119 + 2,120 + … + 2,182
Aliquot sequence: 137,632 188,960 257,836 200,076 266,796 407,696 394,336 382,076 315,796 279,456 482,592 902,400 2,139,072 3,963,024 8,562,216 14,627,544 22,144,296 — unresolved within range

Continued fraction of √n

√137,632 = [370; (1, 81, 2, 3, 1, 8, 2, 1, 1, 1, 1, 2, 3, 1, 2, 20, 4, 185, 4, 20, 2, 1, 3, 2, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand six hundred thirty-two
Ordinal
137632nd
Binary
100001100110100000
Octal
414640
Hexadecimal
0x219A0
Base64
Ahmg
One's complement
4,294,829,663 (32-bit)
Scientific notation
1.37632 × 10⁵
As a duration
137,632 s = 1 day, 14 hours, 13 minutes, 52 seconds
In other bases
ternary (3) 20222210111
quaternary (4) 201212200
quinary (5) 13401012
senary (6) 2541104
septenary (7) 1112155
nonary (9) 228714
undecimal (11) 94450
duodecimal (12) 67794
tridecimal (13) 4a851
tetradecimal (14) 3822c
pentadecimal (15) 2aba7

As an angle

137,632° = 382 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζχλβʹ
Mayan (base 20)
𝋱·𝋤·𝋡·𝋬
Chinese
一十三萬七千六百三十二
Chinese (financial)
壹拾參萬柒仟陸佰參拾貳
In other modern scripts
Eastern Arabic ١٣٧٦٣٢ Devanagari १३७६३२ Bengali ১৩৭৬৩২ Tamil ௧௩௭௬௩௨ Thai ๑๓๗๖๓๒ Tibetan ༡༣༧༦༣༢ Khmer ១៣៧៦៣២ Lao ໑໓໗໖໓໒ Burmese ၁၃၇၆၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137632, here are decompositions:

  • 59 + 137573 = 137632
  • 113 + 137519 = 137632
  • 149 + 137483 = 137632
  • 179 + 137453 = 137632
  • 233 + 137399 = 137632
  • 239 + 137393 = 137632
  • 263 + 137369 = 137632
  • 269 + 137363 = 137632

Showing the first eight; more decompositions exist.

Unicode codepoint
𡦠
CJK Unified Ideograph-219A0
U+219A0
Other letter (Lo)

UTF-8 encoding: F0 A1 A6 A0 (4 bytes).

Hex color
#0219A0
RGB(2, 25, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.160.

Address
0.2.25.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.160

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 137,632 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 137632 first appears in π at position 297,048 of the decimal expansion (the 297,048ordinal-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