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137,644

137,644 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.).

137,644 (one hundred thirty-seven thousand six hundred forty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 13 × 2,647. Written other ways, in hexadecimal, 0x219AC.

Cube-Free Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
2,016
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
446,731
Recamán's sequence
a(493,539) = 137,644
Square (n²)
18,945,870,736
Cube (n³)
2,607,785,431,585,984
Divisor count
12
σ(n) — sum of divisors
259,504
φ(n) — Euler's totient
63,504
Sum of prime factors
2,664

Primality

Prime factorization: 2 2 × 13 × 2647

Nearest primes: 137,639 (−5) · 137,653 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 13 · 26 · 52 · 2647 · 5294 · 10588 · 34411 · 68822 (half) · 137644
Aliquot sum (sum of proper divisors): 121,860
Factor pairs (a × b = 137,644)
1 × 137644
2 × 68822
4 × 34411
13 × 10588
26 × 5294
52 × 2647
First multiples
137,644 · 275,288 (double) · 412,932 · 550,576 · 688,220 · 825,864 · 963,508 · 1,101,152 · 1,238,796 · 1,376,440

Sums & aliquot sequence

As consecutive integers: 17,202 + 17,203 + … + 17,209 10,582 + 10,583 + … + 10,594 1,272 + 1,273 + … + 1,375
Aliquot sequence: 137,644 121,860 248,328 424,422 614,538 717,000 1,529,400 3,213,600 8,160,672 15,081,792 29,857,920 65,320,320 158,989,920 353,541,792 632,385,024 1,052,332,296 1,589,520,504 — unresolved within range

Continued fraction of √n

√137,644 = [371; (247, 2, 1, 81, 1, 3, 1, 1, 26, 1, 12, 1, 1, 8, 1, 1, 1, 3, 1, 5, 2, 1, 7, 2, …)]

Representations

In words
one hundred thirty-seven thousand six hundred forty-four
Ordinal
137644th
Binary
100001100110101100
Octal
414654
Hexadecimal
0x219AC
Base64
Ahms
One's complement
4,294,829,651 (32-bit)
Scientific notation
1.37644 × 10⁵
As a duration
137,644 s = 1 day, 14 hours, 14 minutes, 4 seconds
In other bases
ternary (3) 20222210221
quaternary (4) 201212230
quinary (5) 13401034
senary (6) 2541124
septenary (7) 1112203
nonary (9) 228727
undecimal (11) 94461
duodecimal (12) 677a4
tridecimal (13) 4a860
tetradecimal (14) 3823a
pentadecimal (15) 2abb4

As an angle

137,644° = 382 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζχμδʹ
Mayan (base 20)
𝋱·𝋤·𝋢·𝋤
Chinese
一十三萬七千六百四十四
Chinese (financial)
壹拾參萬柒仟陸佰肆拾肆
In other modern scripts
Eastern Arabic ١٣٧٦٤٤ Devanagari १३७६४४ Bengali ১৩৭৬৪৪ Tamil ௧௩௭௬௪௪ Thai ๑๓๗๖๔๔ Tibetan ༡༣༧༦༤༤ Khmer ១៣៧៦៤៤ Lao ໑໓໗໖໔໔ Burmese ၁၃၇၆၄၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137644, here are decompositions:

  • 5 + 137639 = 137644
  • 11 + 137633 = 137644
  • 47 + 137597 = 137644
  • 71 + 137573 = 137644
  • 107 + 137537 = 137644
  • 137 + 137507 = 137644
  • 167 + 137477 = 137644
  • 191 + 137453 = 137644

Showing the first eight; more decompositions exist.

Unicode codepoint
𡦬
CJK Unified Ideograph-219Ac
U+219AC
Other letter (Lo)

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

Hex color
#0219AC
RGB(2, 25, 172)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.25.172.

Address
0.2.25.172
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.25.172

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 137,644 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