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138,764

138,764 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.).

138,764 (one hundred thirty-eight thousand seven hundred sixty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 113 × 307. Written other ways, in hexadecimal, 0x21E0C.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
4,032
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
467,831
Recamán's sequence
a(491,299) = 138,764
Square (n²)
19,255,447,696
Cube (n³)
2,671,962,944,087,744
Divisor count
12
σ(n) — sum of divisors
245,784
φ(n) — Euler's totient
68,544
Sum of prime factors
424

Primality

Prime factorization: 2 2 × 113 × 307

Nearest primes: 138,763 (−1) · 138,793 (+29)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 113 · 226 · 307 · 452 · 614 · 1228 · 34691 · 69382 (half) · 138764
Aliquot sum (sum of proper divisors): 107,020
Factor pairs (a × b = 138,764)
1 × 138764
2 × 69382
4 × 34691
113 × 1228
226 × 614
307 × 452
First multiples
138,764 · 277,528 (double) · 416,292 · 555,056 · 693,820 · 832,584 · 971,348 · 1,110,112 · 1,248,876 · 1,387,640

Sums & aliquot sequence

As consecutive integers: 17,342 + 17,343 + … + 17,349 1,172 + 1,173 + … + 1,284 299 + 300 + … + 605
Aliquot sequence: 138,764 107,020 117,764 92,236 69,184 77,120 107,284 80,470 75,770 60,634 46,502 23,254 20,522 11,350 9,854 6,106 3,398 — unresolved within range

Continued fraction of √n

√138,764 = [372; (1, 1, 23, 1, 1, 7, 5, 1, 7, 186, 7, 1, 5, 7, 1, 1, 23, 1, 1, 744)]

Period length 20 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand seven hundred sixty-four
Ordinal
138764th
Binary
100001111000001100
Octal
417014
Hexadecimal
0x21E0C
Base64
Ah4M
One's complement
4,294,828,531 (32-bit)
Scientific notation
1.38764 × 10⁵
As a duration
138,764 s = 1 day, 14 hours, 32 minutes, 44 seconds
In other bases
ternary (3) 21001100102
quaternary (4) 201320030
quinary (5) 13420024
senary (6) 2550232
septenary (7) 1115363
nonary (9) 231312
undecimal (11) 9528a
duodecimal (12) 68378
tridecimal (13) 4b212
tetradecimal (14) 387da
pentadecimal (15) 2b1ae

As an angle

138,764° = 385 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληψξδʹ
Mayan (base 20)
𝋱·𝋦·𝋲·𝋤
Chinese
一十三萬八千七百六十四
Chinese (financial)
壹拾參萬捌仟柒佰陸拾肆
In other modern scripts
Eastern Arabic ١٣٨٧٦٤ Devanagari १३८७६४ Bengali ১৩৮৭৬৪ Tamil ௧௩௮௭௬௪ Thai ๑๓๘๗๖๔ Tibetan ༡༣༨༧༦༤ Khmer ១៣៨៧៦៤ Lao ໑໓໘໗໖໔ Burmese ၁၃၈၇၆၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138764, here are decompositions:

  • 37 + 138727 = 138764
  • 103 + 138661 = 138764
  • 127 + 138637 = 138764
  • 193 + 138571 = 138764
  • 271 + 138493 = 138764
  • 313 + 138451 = 138764
  • 331 + 138433 = 138764
  • 337 + 138427 = 138764

Showing the first eight; more decompositions exist.

Unicode codepoint
𡸌
CJK Unified Ideograph-21E0C
U+21E0C
Other letter (Lo)

UTF-8 encoding: F0 A1 B8 8C (4 bytes).

Hex color
#021E0C
RGB(2, 30, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.12.

Address
0.2.30.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.12

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 138,764 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.