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137,338

137,338 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.).

137,338 (one hundred thirty-seven thousand three hundred thirty-eight) is an even 6-digit number. It is a composite number with 4 divisors, and factors as 2 × 68,669. Written other ways, in hexadecimal, 0x2187A.

Cube-Free Deficient Number Evil Number Recamán's Sequence Semiprime Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,512
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
833,731
Recamán's sequence
a(37,480) = 137,338
Square (n²)
18,861,726,244
Cube (n³)
2,590,431,758,898,472
Divisor count
4
σ(n) — sum of divisors
206,010
φ(n) — Euler's totient
68,668
Sum of prime factors
68,671

Primality

Prime factorization: 2 × 68669

Nearest primes: 137,321 (−17) · 137,339 (+1)

Divisors & multiples

All divisors (4)
1 · 2 · 68669 (half) · 137338
Aliquot sum (sum of proper divisors): 68,672
Factor pairs (a × b = 137,338)
1 × 137338
2 × 68669
First multiples
137,338 · 274,676 (double) · 412,014 · 549,352 · 686,690 · 824,028 · 961,366 · 1,098,704 · 1,236,042 · 1,373,380

Sums & aliquot sequence

As a sum of two squares: 257² + 267²
As consecutive integers: 34,333 + 34,334 + 34,335 + 34,336
Aliquot sequence: 137,338 68,672 76,108 59,972 60,988 47,652 80,364 113,284 87,420 170,628 235,932 314,604 508,680 1,211,940 2,464,824 3,697,296 6,909,168 — unresolved within range

Continued fraction of √n

√137,338 = [370; (1, 1, 2, 4, 3, 1, 4, 1, 1, 1, 4, 1, 7, 1, 2, 3, 2, 1, 1, 12, 2, 2, 2, 2, …)]

Period length 45 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-seven thousand three hundred thirty-eight
Ordinal
137338th
Binary
100001100001111010
Octal
414172
Hexadecimal
0x2187A
Base64
Ahh6
One's complement
4,294,829,957 (32-bit)
Scientific notation
1.37338 × 10⁵
As a duration
137,338 s = 1 day, 14 hours, 8 minutes, 58 seconds
In other bases
ternary (3) 20222101121
quaternary (4) 201201322
quinary (5) 13343323
senary (6) 2535454
septenary (7) 1111255
nonary (9) 228347
undecimal (11) 94203
duodecimal (12) 6758a
tridecimal (13) 4a686
tetradecimal (14) 3809c
pentadecimal (15) 2aa5d

As an angle

137,338° = 381 × 360° + 178°
178° ≈ 3.107 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζτληʹ
Mayan (base 20)
𝋱·𝋣·𝋦·𝋲
Chinese
一十三萬七千三百三十八
Chinese (financial)
壹拾參萬柒仟參佰參拾捌
In other modern scripts
Eastern Arabic ١٣٧٣٣٨ Devanagari १३७३३८ Bengali ১৩৭৩৩৮ Tamil ௧௩௭௩௩௮ Thai ๑๓๗๓๓๘ Tibetan ༡༣༧༣༣༨ Khmer ១៣៧៣៣៨ Lao ໑໓໗໓໓໘ Burmese ၁၃၇၃၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137338, here are decompositions:

  • 17 + 137321 = 137338
  • 59 + 137279 = 137338
  • 137 + 137201 = 137338
  • 191 + 137147 = 137338
  • 251 + 137087 = 137338
  • 347 + 136991 = 137338
  • 359 + 136979 = 137338
  • 389 + 136949 = 137338

Showing the first eight; more decompositions exist.

Unicode codepoint
𡡺
CJK Unified Ideograph-2187A
U+2187A
Other letter (Lo)

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

Hex color
#02187A
RGB(2, 24, 122)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.122.

Address
0.2.24.122
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.122

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 137,338 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