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137,842

137,842 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.).

137,842 (one hundred thirty-seven thousand eight hundred forty-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 41³. Written other ways, in hexadecimal, 0x21A72.

Deficient Number Evil Number Frugal Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,344
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
248,731
Recamán's sequence
a(493,143) = 137,842
Square (n²)
19,000,416,964
Cube (n³)
2,619,055,475,151,688
Divisor count
8
σ(n) — sum of divisors
211,932
φ(n) — Euler's totient
67,240
Sum of prime factors
125

Primality

Prime factorization: 2 × 41 3

Nearest primes: 137,831 (−11) · 137,849 (+7)

Divisors & multiples

All divisors (8)
1 · 2 · 41 · 82 · 1681 · 3362 · 68921 (half) · 137842
Aliquot sum (sum of proper divisors): 74,090
Factor pairs (a × b = 137,842)
1 × 137842
2 × 68921
41 × 3362
82 × 1681
First multiples
137,842 · 275,684 (double) · 413,526 · 551,368 · 689,210 · 827,052 · 964,894 · 1,102,736 · 1,240,578 · 1,378,420

Sums & aliquot sequence

As a sum of two squares: 41² + 369² = 121² + 351²
As a sum of two cubes: 41³ + 41³
As consecutive integers: 34,459 + 34,460 + 34,461 + 34,462 3,342 + 3,343 + … + 3,382 759 + 760 + … + 922
Aliquot sequence: 137,842 74,090 64,150 55,262 27,634 14,954 7,480 11,960 18,280 22,940 28,132 24,984 42,876 68,564 53,824 56,793 25,863 — unresolved within range

Continued fraction of √n

√137,842 = [371; (3, 1, 2, 3, 1, 9, 2, 2, 40, 1, 5, 1, 1, 2, 8, 7, 11, 9, 12, 1, 11, 18, 1, 21, …)]

Representations

In words
one hundred thirty-seven thousand eight hundred forty-two
Ordinal
137842nd
Binary
100001101001110010
Octal
415162
Hexadecimal
0x21A72
Base64
Ahpy
One's complement
4,294,829,453 (32-bit)
Scientific notation
1.37842 × 10⁵
As a duration
137,842 s = 1 day, 14 hours, 17 minutes, 22 seconds
In other bases
ternary (3) 21000002021
quaternary (4) 201221302
quinary (5) 13402332
senary (6) 2542054
septenary (7) 1112605
nonary (9) 230067
undecimal (11) 94621
duodecimal (12) 6792a
tridecimal (13) 4a983
tetradecimal (14) 3833c
pentadecimal (15) 2ac97

As an angle

137,842° = 382 × 360° + 322°
322° ≈ 5.62 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλζωμβʹ
Mayan (base 20)
𝋱·𝋤·𝋬·𝋢
Chinese
一十三萬七千八百四十二
Chinese (financial)
壹拾參萬柒仟捌佰肆拾貳
In other modern scripts
Eastern Arabic ١٣٧٨٤٢ Devanagari १३७८४२ Bengali ১৩৭৮৪২ Tamil ௧௩௭௮௪௨ Thai ๑๓๗๘๔๒ Tibetan ༡༣༧༨༤༢ Khmer ១៣៧៨៤២ Lao ໑໓໗໘໔໒ Burmese ၁၃၇၈၄၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137842, here are decompositions:

  • 11 + 137831 = 137842
  • 71 + 137771 = 137842
  • 269 + 137573 = 137842
  • 359 + 137483 = 137842
  • 389 + 137453 = 137842
  • 443 + 137399 = 137842
  • 449 + 137393 = 137842
  • 479 + 137363 = 137842

Showing the first eight; more decompositions exist.

Unicode codepoint
𡩲
CJK Unified Ideograph-21A72
U+21A72
Other letter (Lo)

UTF-8 encoding: F0 A1 A9 B2 (4 bytes).

Hex color
#021A72
RGB(2, 26, 114)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.26.114.

Address
0.2.26.114
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.26.114

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 137,842 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