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137,324

137,324 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.).

137,324 (one hundred thirty-seven thousand three hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 11 × 3,121. Written other ways, in hexadecimal, 0x2186C.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
504
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
423,731
Recamán's sequence
a(37,452) = 137,324
Square (n²)
18,857,880,976
Cube (n³)
2,589,639,647,148,224
Divisor count
12
σ(n) — sum of divisors
262,248
φ(n) — Euler's totient
62,400
Sum of prime factors
3,136

Primality

Prime factorization: 2 2 × 11 × 3121

Nearest primes: 137,321 (−3) · 137,339 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 11 · 22 · 44 · 3121 · 6242 · 12484 · 34331 · 68662 (half) · 137324
Aliquot sum (sum of proper divisors): 124,924
Factor pairs (a × b = 137,324)
1 × 137324
2 × 68662
4 × 34331
11 × 12484
22 × 6242
44 × 3121
First multiples
137,324 · 274,648 (double) · 411,972 · 549,296 · 686,620 · 823,944 · 961,268 · 1,098,592 · 1,235,916 · 1,373,240

Sums & aliquot sequence

As consecutive integers: 17,162 + 17,163 + … + 17,169 12,479 + 12,480 + … + 12,489 1,517 + 1,518 + … + 1,604
Aliquot sequence: 137,324 124,924 93,700 109,846 69,938 52,555 13,397 1 0 — terminates at zero

Continued fraction of √n

√137,324 = [370; (1, 1, 2, 1, 17, 1, 4, 2, 1, 1, 2, 7, 38, 1, 6, 1, 4, 1, 3, 1, 1, 1, 1, 4, …)]

Representations

In words
one hundred thirty-seven thousand three hundred twenty-four
Ordinal
137324th
Binary
100001100001101100
Octal
414154
Hexadecimal
0x2186C
Base64
Ahhs
One's complement
4,294,829,971 (32-bit)
Scientific notation
1.37324 × 10⁵
As a duration
137,324 s = 1 day, 14 hours, 8 minutes, 44 seconds
In other bases
ternary (3) 20222101002
quaternary (4) 201201230
quinary (5) 13343244
senary (6) 2535432
septenary (7) 1111235
nonary (9) 228332
undecimal (11) 941a0
duodecimal (12) 67578
tridecimal (13) 4a675
tetradecimal (14) 3808c
pentadecimal (15) 2aa4e

As an angle

137,324° = 381 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτκδʹ
Mayan (base 20)
𝋱·𝋣·𝋦·𝋤
Chinese
一十三萬七千三百二十四
Chinese (financial)
壹拾參萬柒仟參佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٧٣٢٤ Devanagari १३७३२४ Bengali ১৩৭৩২৪ Tamil ௧௩௭௩௨௪ Thai ๑๓๗๓๒๔ Tibetan ༡༣༧༣༢༤ Khmer ១៣៧៣២៤ Lao ໑໓໗໓໒໔ Burmese ၁၃၇၃၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137324, here are decompositions:

  • 3 + 137321 = 137324
  • 73 + 137251 = 137324
  • 127 + 137197 = 137324
  • 181 + 137143 = 137324
  • 193 + 137131 = 137324
  • 331 + 136993 = 137324
  • 337 + 136987 = 137324
  • 373 + 136951 = 137324

Showing the first eight; more decompositions exist.

Unicode codepoint
𡡬
CJK Unified Ideograph-2186C
U+2186C
Other letter (Lo)

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

Hex color
#02186C
RGB(2, 24, 108)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.108.

Address
0.2.24.108
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.108

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 137,324 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 137324 first appears in π at position 458,593 of the decimal expansion (the 458,593ordinal-suffix:rd 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

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