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137,992

137,992 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.).

137,992 (one hundred thirty-seven thousand nine hundred ninety-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 47 × 367. Written other ways, in hexadecimal, 0x21B08.

Arithmetic Number Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
3,402
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
299,731
Recamán's sequence
a(492,843) = 137,992
Square (n²)
19,041,792,064
Cube (n³)
2,627,614,970,495,488
Divisor count
16
σ(n) — sum of divisors
264,960
φ(n) — Euler's totient
67,344
Sum of prime factors
420

Primality

Prime factorization: 2 3 × 47 × 367

Nearest primes: 137,983 (−9) · 137,993 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 47 · 94 · 188 · 367 · 376 · 734 · 1468 · 2936 · 17249 · 34498 · 68996 (half) · 137992
Aliquot sum (sum of proper divisors): 126,968
Factor pairs (a × b = 137,992)
1 × 137992
2 × 68996
4 × 34498
8 × 17249
47 × 2936
94 × 1468
188 × 734
367 × 376
First multiples
137,992 · 275,984 (double) · 413,976 · 551,968 · 689,960 · 827,952 · 965,944 · 1,103,936 · 1,241,928 · 1,379,920

Sums & aliquot sequence

As consecutive integers: 8,617 + 8,618 + … + 8,632 2,913 + 2,914 + … + 2,959 193 + 194 + … + 559
Aliquot sequence: 137,992 126,968 116,032 159,050 136,876 115,404 160,116 247,788 378,656 366,886 235,898 155,878 82,082 87,262 69,410 67,102 47,954 — unresolved within range

Continued fraction of √n

√137,992 = [371; (2, 8, 1, 2, 18, 1, 2, 2, 1, 1, 1, 1, 3, 1, 5, 14, 1, 91, 1, 14, 5, 1, 3, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand nine hundred ninety-two
Ordinal
137992nd
Binary
100001101100001000
Octal
415410
Hexadecimal
0x21B08
Base64
AhsI
One's complement
4,294,829,303 (32-bit)
Scientific notation
1.37992 × 10⁵
As a duration
137,992 s = 1 day, 14 hours, 19 minutes, 52 seconds
In other bases
ternary (3) 21000021211
quaternary (4) 201230020
quinary (5) 13403432
senary (6) 2542504
septenary (7) 1113211
nonary (9) 230254
undecimal (11) 94748
duodecimal (12) 67a34
tridecimal (13) 4aa6a
tetradecimal (14) 38408
pentadecimal (15) 2ad47

As an angle

137,992° = 383 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζϡϟβʹ
Mayan (base 20)
𝋱·𝋤·𝋳·𝋬
Chinese
一十三萬七千九百九十二
Chinese (financial)
壹拾參萬柒仟玖佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٧٩٩٢ Devanagari १३७९९२ Bengali ১৩৭৯৯২ Tamil ௧௩௭௯௯௨ Thai ๑๓๗๙๙๒ Tibetan ༡༣༧༩༩༢ Khmer ១៣៧៩៩២ Lao ໑໓໗໙໙໒ Burmese ၁၃၇၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137992, here are decompositions:

  • 59 + 137933 = 137992
  • 83 + 137909 = 137992
  • 269 + 137723 = 137992
  • 293 + 137699 = 137992
  • 353 + 137639 = 137992
  • 359 + 137633 = 137992
  • 419 + 137573 = 137992
  • 509 + 137483 = 137992

Showing the first eight; more decompositions exist.

Unicode codepoint
𡬈
CJK Unified Ideograph-21B08
U+21B08
Other letter (Lo)

UTF-8 encoding: F0 A1 AC 88 (4 bytes).

Hex color
#021B08
RGB(2, 27, 8)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.8.

Address
0.2.27.8
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.8

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 137,992 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 137992 first appears in π at position 553,509 of the decimal expansion (the 553,509ordinal-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