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138,762

138,762 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.).

138,762 (one hundred thirty-eight thousand seven hundred sixty-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 3² × 13 × 593. Its proper divisors sum to 185,562, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21E0A.

Abundant Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
2,016
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
267,831
Recamán's sequence
a(491,303) = 138,762
Square (n²)
19,254,892,644
Cube (n³)
2,671,847,413,066,728
Divisor count
24
σ(n) — sum of divisors
324,324
φ(n) — Euler's totient
42,624
Sum of prime factors
614

Primality

Prime factorization: 2 × 3 2 × 13 × 593

Nearest primes: 138,739 (−23) · 138,763 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 3 · 6 · 9 · 13 · 18 · 26 · 39 · 78 · 117 · 234 · 593 · 1186 · 1779 · 3558 · 5337 · 7709 · 10674 · 15418 · 23127 · 46254 · 69381 (half) · 138762
Aliquot sum (sum of proper divisors): 185,562
Factor pairs (a × b = 138,762)
1 × 138762
2 × 69381
3 × 46254
6 × 23127
9 × 15418
13 × 10674
18 × 7709
26 × 5337
39 × 3558
78 × 1779
117 × 1186
234 × 593
First multiples
138,762 · 277,524 (double) · 416,286 · 555,048 · 693,810 · 832,572 · 971,334 · 1,110,096 · 1,248,858 · 1,387,620

Sums & aliquot sequence

As a sum of two squares: 51² + 369² = 189² + 321²
As consecutive integers: 46,253 + 46,254 + 46,255 34,689 + 34,690 + 34,691 + 34,692 15,414 + 15,415 + … + 15,422 11,558 + 11,559 + … + 11,569
Aliquot sequence: 138,762 185,562 256,932 478,264 426,056 415,144 363,266 196,474 100,346 51,718 30,002 21,454 12,674 6,340 7,016 6,154 3,674 — unresolved within range

Continued fraction of √n

√138,762 = [372; (1, 1, 31, 1, 8, 4, 2, 1, 1, 1, 9, 2, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 43, 4, …)]

Representations

In words
one hundred thirty-eight thousand seven hundred sixty-two
Ordinal
138762nd
Binary
100001111000001010
Octal
417012
Hexadecimal
0x21E0A
Base64
Ah4K
One's complement
4,294,828,533 (32-bit)
Scientific notation
1.38762 × 10⁵
As a duration
138,762 s = 1 day, 14 hours, 32 minutes, 42 seconds
In other bases
ternary (3) 21001100100
quaternary (4) 201320022
quinary (5) 13420022
senary (6) 2550230
septenary (7) 1115361
nonary (9) 231310
undecimal (11) 95288
duodecimal (12) 68376
tridecimal (13) 4b210
tetradecimal (14) 387d8
pentadecimal (15) 2b1ac

As an angle

138,762° = 385 × 360° + 162°
162° ≈ 2.827 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληψξβʹ
Mayan (base 20)
𝋱·𝋦·𝋲·𝋢
Chinese
一十三萬八千七百六十二
Chinese (financial)
壹拾參萬捌仟柒佰陸拾貳
In other modern scripts
Eastern Arabic ١٣٨٧٦٢ Devanagari १३८७६२ Bengali ১৩৮৭৬২ Tamil ௧௩௮௭௬௨ Thai ๑๓๘๗๖๒ Tibetan ༡༣༨༧༦༢ Khmer ១៣៨៧៦២ Lao ໑໓໘໗໖໒ Burmese ၁၃၈၇၆၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138762, here are decompositions:

  • 23 + 138739 = 138762
  • 31 + 138731 = 138762
  • 79 + 138683 = 138762
  • 83 + 138679 = 138762
  • 101 + 138661 = 138762
  • 163 + 138599 = 138762
  • 181 + 138581 = 138762
  • 191 + 138571 = 138762

Showing the first eight; more decompositions exist.

Unicode codepoint
𡸊
CJK Unified Ideograph-21E0A
U+21E0A
Other letter (Lo)

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

Hex color
#021E0A
RGB(2, 30, 10)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.10.

Address
0.2.30.10
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.10

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 138,762 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 138762 first appears in π at position 316,922 of the decimal expansion (the 316,922ordinal-suffix:nd 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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.