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137,438

137,438 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.).

137,438 (one hundred thirty-seven thousand four hundred thirty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2 × 7 × 9,817. Written other ways, in hexadecimal, 0x218DE.

Arithmetic Number Cube-Free Deficient Number Odious Number Sphenic Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,016
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
834,731
Square (n²)
18,889,203,844
Cube (n³)
2,596,094,397,911,672
Divisor count
8
σ(n) — sum of divisors
235,632
φ(n) — Euler's totient
58,896
Sum of prime factors
9,826

Primality

Prime factorization: 2 × 7 × 9817

Nearest primes: 137,437 (−1) · 137,443 (+5)

Divisors & multiples

All divisors (8)
1 · 2 · 7 · 14 · 9817 · 19634 · 68719 (half) · 137438
Aliquot sum (sum of proper divisors): 98,194
Factor pairs (a × b = 137,438)
1 × 137438
2 × 68719
7 × 19634
14 × 9817
First multiples
137,438 · 274,876 (double) · 412,314 · 549,752 · 687,190 · 824,628 · 962,066 · 1,099,504 · 1,236,942 · 1,374,380

Sums & aliquot sequence

As consecutive integers: 34,358 + 34,359 + 34,360 + 34,361 19,631 + 19,632 + … + 19,637 4,895 + 4,896 + … + 4,922
Aliquot sequence: 137,438 98,194 54,266 29,158 15,482 7,744 9,147 3,053 115 29 1 0 — terminates at zero

Continued fraction of √n

√137,438 = [370; (1, 2, 1, 1, 1, 7, 1, 66, 1, 1, 11, 1, 1, 1, 6, 1, 1, 5, 1, 1, 2, 5, 7, 6, …)]

Representations

In words
one hundred thirty-seven thousand four hundred thirty-eight
Ordinal
137438th
Binary
100001100011011110
Octal
414336
Hexadecimal
0x218DE
Base64
Ahje
One's complement
4,294,829,857 (32-bit)
Scientific notation
1.37438 × 10⁵
As a duration
137,438 s = 1 day, 14 hours, 10 minutes, 38 seconds
In other bases
ternary (3) 20222112022
quaternary (4) 201203132
quinary (5) 13344223
senary (6) 2540142
septenary (7) 1111460
nonary (9) 228468
undecimal (11) 94294
duodecimal (12) 67652
tridecimal (13) 4a732
tetradecimal (14) 38130
pentadecimal (15) 2aac8

As an angle

137,438° = 381 × 360° + 278°
278° ≈ 4.852 rad
Compass bearing: W (west)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρλζυληʹ
Mayan (base 20)
𝋱·𝋣·𝋫·𝋲
Chinese
一十三萬七千四百三十八
Chinese (financial)
壹拾參萬柒仟肆佰參拾捌
In other modern scripts
Eastern Arabic ١٣٧٤٣٨ Devanagari १३७४३८ Bengali ১৩৭৪৩৮ Tamil ௧௩௭௪௩௮ Thai ๑๓๗๔๓๘ Tibetan ༡༣༧༤༣༨ Khmer ១៣៧៤៣៨ Lao ໑໓໗໔໓໘ Burmese ၁၃၇၄၃၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 137438, here are decompositions:

  • 79 + 137359 = 137438
  • 97 + 137341 = 137438
  • 199 + 137239 = 137438
  • 229 + 137209 = 137438
  • 241 + 137197 = 137438
  • 307 + 137131 = 137438
  • 349 + 137089 = 137438
  • 409 + 137029 = 137438

Showing the first eight; more decompositions exist.

Unicode codepoint
𡣞
CJK Unified Ideograph-218De
U+218DE
Other letter (Lo)

UTF-8 encoding: F0 A1 A3 9E (4 bytes).

Hex color
#0218DE
RGB(2, 24, 222)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.24.222.

Address
0.2.24.222
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.24.222

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 137,438 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

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