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138,708

138,708 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.).

138,708 (one hundred thirty-eight thousand seven hundred eight) is an even 6-digit number. It is a composite number with 18 divisors, and factors as 2² × 3² × 3,853. Its proper divisors sum to 212,006, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21DD4.

Abundant Number Cube-Free Gapful Number Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
27
Digit product
0
Digital root
9
Palindrome
No
Bit width
18 bits
Reversed
807,831
Recamán's sequence
a(491,411) = 138,708
Square (n²)
19,239,909,264
Cube (n³)
2,668,729,334,190,912
Divisor count
18
σ(n) — sum of divisors
350,714
φ(n) — Euler's totient
46,224
Sum of prime factors
3,863

Primality

Prime factorization: 2 2 × 3 2 × 3853

Nearest primes: 138,683 (−25) · 138,727 (+19)

Divisors & multiples

All divisors (18)
1 · 2 · 3 · 4 · 6 · 9 · 12 · 18 · 36 · 3853 · 7706 · 11559 · 15412 · 23118 · 34677 · 46236 · 69354 (half) · 138708
Aliquot sum (sum of proper divisors): 212,006
Factor pairs (a × b = 138,708)
1 × 138708
2 × 69354
3 × 46236
4 × 34677
6 × 23118
9 × 15412
12 × 11559
18 × 7706
36 × 3853
First multiples
138,708 · 277,416 (double) · 416,124 · 554,832 · 693,540 · 832,248 · 970,956 · 1,109,664 · 1,248,372 · 1,387,080

Sums & aliquot sequence

As a sum of two squares: 18² + 372²
As consecutive integers: 46,235 + 46,236 + 46,237 17,335 + 17,336 + … + 17,342 15,408 + 15,409 + … + 15,416 5,768 + 5,769 + … + 5,791
Aliquot sequence: 138,708 212,006 110,698 79,094 41,434 20,720 35,824 33,616 37,808 40,312 35,288 37,072 45,264 79,728 146,448 281,166 281,178 — unresolved within range

Continued fraction of √n

√138,708 = [372; (2, 3, 2, 1, 3, 1, 1, 6, 2, 1, 26, 1, 9, 1, 1, 8, 1, 2, 20, 2, 1, 8, 1, 1, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand seven hundred eight
Ordinal
138708th
Binary
100001110111010100
Octal
416724
Hexadecimal
0x21DD4
Base64
Ah3U
One's complement
4,294,828,587 (32-bit)
Scientific notation
1.38708 × 10⁵
As a duration
138,708 s = 1 day, 14 hours, 31 minutes, 48 seconds
In other bases
ternary (3) 21001021100
quaternary (4) 201313110
quinary (5) 13414313
senary (6) 2550100
septenary (7) 1115253
nonary (9) 231240
undecimal (11) 95239
duodecimal (12) 68330
tridecimal (13) 4b19b
tetradecimal (14) 3879a
pentadecimal (15) 2b173

As an angle

138,708° = 385 × 360° + 108°
108° ≈ 1.885 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληψηʹ
Mayan (base 20)
𝋱·𝋦·𝋯·𝋨
Chinese
一十三萬八千七百零八
Chinese (financial)
壹拾參萬捌仟柒佰零捌
In other modern scripts
Eastern Arabic ١٣٨٧٠٨ Devanagari १३८७०८ Bengali ১৩৮৭০৮ Tamil ௧௩௮௭௦௮ Thai ๑๓๘๗๐๘ Tibetan ༡༣༨༧༠༨ Khmer ១៣៨៧០៨ Lao ໑໓໘໗໐໘ Burmese ၁၃၈၇၀၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138708, here are decompositions:

  • 29 + 138679 = 138708
  • 47 + 138661 = 138708
  • 61 + 138647 = 138708
  • 67 + 138641 = 138708
  • 71 + 138637 = 138708
  • 79 + 138629 = 138708
  • 109 + 138599 = 138708
  • 127 + 138581 = 138708

Showing the first eight; more decompositions exist.

Unicode codepoint
𡷔
CJK Unified Ideograph-21Dd4
U+21DD4
Other letter (Lo)

UTF-8 encoding: F0 A1 B7 94 (4 bytes).

Hex color
#021DD4
RGB(2, 29, 212)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.212.

Address
0.2.29.212
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.212

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 138,708 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 138708 first appears in π at position 295,802 of the decimal expansion (the 295,802ordinal-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°.