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137,392

137,392 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.).

137,392 (one hundred thirty-seven thousand three hundred ninety-two) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 31 × 277. Its proper divisors sum to 138,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x218B0.

Abundant Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,134
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
293,731
Recamán's sequence
a(37,588) = 137,392
Square (n²)
18,876,561,664
Cube (n³)
2,593,488,560,140,288
Divisor count
20
σ(n) — sum of divisors
275,776
φ(n) — Euler's totient
66,240
Sum of prime factors
316

Primality

Prime factorization: 2 4 × 31 × 277

Nearest primes: 137,387 (−5) · 137,393 (+1)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 8 · 16 · 31 · 62 · 124 · 248 · 277 · 496 · 554 · 1108 · 2216 · 4432 · 8587 · 17174 · 34348 · 68696 (half) · 137392
Aliquot sum (sum of proper divisors): 138,384
Factor pairs (a × b = 137,392)
1 × 137392
2 × 68696
4 × 34348
8 × 17174
16 × 8587
31 × 4432
62 × 2216
124 × 1108
248 × 554
277 × 496
First multiples
137,392 · 274,784 (double) · 412,176 · 549,568 · 686,960 · 824,352 · 961,744 · 1,099,136 · 1,236,528 · 1,373,920

Sums & aliquot sequence

As consecutive integers: 4,417 + 4,418 + … + 4,447 4,278 + 4,279 + … + 4,309 358 + 359 + … + 634
Aliquot sequence: 137,392 138,384 261,795 171,357 57,123 33,045 19,851 8,709 2,907 1,773 801 369 177 63 41 1 0 — terminates at zero

Continued fraction of √n

√137,392 = [370; (1, 1, 1, 45, 1, 1, 1, 740)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred ninety-two
Ordinal
137392nd
Binary
100001100010110000
Octal
414260
Hexadecimal
0x218B0
Base64
Ahiw
One's complement
4,294,829,903 (32-bit)
Scientific notation
1.37392 × 10⁵
As a duration
137,392 s = 1 day, 14 hours, 9 minutes, 52 seconds
In other bases
ternary (3) 20222110121
quaternary (4) 201202300
quinary (5) 13344032
senary (6) 2540024
septenary (7) 1111363
nonary (9) 228417
undecimal (11) 94252
duodecimal (12) 67614
tridecimal (13) 4a6c8
tetradecimal (14) 380da
pentadecimal (15) 2aa97

As an angle

137,392° = 381 × 360° + 232°
232° ≈ 4.049 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζτϟβʹ
Mayan (base 20)
𝋱·𝋣·𝋩·𝋬
Chinese
一十三萬七千三百九十二
Chinese (financial)
壹拾參萬柒仟參佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٧٣٩٢ Devanagari १३७३९२ Bengali ১৩৭৩৯২ Tamil ௧௩௭௩௯௨ Thai ๑๓๗๓๙๒ Tibetan ༡༣༧༣༩༢ Khmer ១៣៧៣៩២ Lao ໑໓໗໓໙໒ Burmese ၁၃၇၃၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137392, here are decompositions:

  • 5 + 137387 = 137392
  • 23 + 137369 = 137392
  • 29 + 137363 = 137392
  • 53 + 137339 = 137392
  • 71 + 137321 = 137392
  • 89 + 137303 = 137392
  • 113 + 137279 = 137392
  • 173 + 137219 = 137392

Showing the first eight; more decompositions exist.

Unicode codepoint
𡢰
CJK Unified Ideograph-218B0
U+218B0
Other letter (Lo)

UTF-8 encoding: F0 A1 A2 B0 (4 bytes).

Hex color
#0218B0
RGB(2, 24, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.176.

Address
0.2.24.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.176

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 137,392 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 137392 first appears in π at position 127,439 of the decimal expansion (the 127,439ordinal-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