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138,710

138,710 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.).

138,710 (one hundred thirty-eight thousand seven hundred ten) is an even 6-digit number. It is a composite number with 32 divisors, and factors as 2 × 5 × 11 × 13 × 97. Its proper divisors sum to 157,642, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21DD6.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number Squarefree

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
0
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
17,831
Recamán's sequence
a(491,407) = 138,710
Square (n²)
19,240,464,100
Cube (n³)
2,668,844,775,311,000
Divisor count
32
σ(n) — sum of divisors
296,352
φ(n) — Euler's totient
46,080
Sum of prime factors
128

Primality

Prime factorization: 2 × 5 × 11 × 13 × 97

Nearest primes: 138,683 (−27) · 138,727 (+17)

Divisors & multiples

All divisors (32)
1 · 2 · 5 · 10 · 11 · 13 · 22 · 26 · 55 · 65 · 97 · 110 · 130 · 143 · 194 · 286 · 485 · 715 · 970 · 1067 · 1261 · 1430 · 2134 · 2522 · 5335 · 6305 · 10670 · 12610 · 13871 · 27742 · 69355 (half) · 138710
Aliquot sum (sum of proper divisors): 157,642
Factor pairs (a × b = 138,710)
1 × 138710
2 × 69355
5 × 27742
10 × 13871
11 × 12610
13 × 10670
22 × 6305
26 × 5335
55 × 2522
65 × 2134
97 × 1430
110 × 1261
130 × 1067
143 × 970
194 × 715
286 × 485
First multiples
138,710 · 277,420 (double) · 416,130 · 554,840 · 693,550 · 832,260 · 970,970 · 1,109,680 · 1,248,390 · 1,387,100

Sums & aliquot sequence

As consecutive integers: 34,676 + 34,677 + 34,678 + 34,679 27,740 + 27,741 + 27,742 + 27,743 + 27,744 12,605 + 12,606 + … + 12,615 10,664 + 10,665 + … + 10,676
Aliquot sequence: 138,710 157,642 91,208 93,172 69,886 36,458 18,232 17,408 19,438 9,722 4,864 5,356 4,836 7,708 6,404 4,810 4,766 — unresolved within range

Continued fraction of √n

√138,710 = [372; (2, 3, 1, 1, 8, 1, 6, 2, 11, 1, 2, 1, 11, 2, 6, 1, 8, 1, 1, 3, 2, 744)]

Period length 22 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand seven hundred ten
Ordinal
138710th
Binary
100001110111010110
Octal
416726
Hexadecimal
0x21DD6
Base64
Ah3W
One's complement
4,294,828,585 (32-bit)
Scientific notation
1.3871 × 10⁵
As a duration
138,710 s = 1 day, 14 hours, 31 minutes, 50 seconds
In other bases
ternary (3) 21001021102
quaternary (4) 201313112
quinary (5) 13414320
senary (6) 2550102
septenary (7) 1115255
nonary (9) 231242
undecimal (11) 95240
duodecimal (12) 68332
tridecimal (13) 4b1a0
tetradecimal (14) 3879c
pentadecimal (15) 2b175

As an angle

138,710° = 385 × 360° + 110°
110° ≈ 1.92 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆
Greek (Milesian)
͵ρληψιʹ
Mayan (base 20)
𝋱·𝋦·𝋯·𝋪
Chinese
一十三萬八千七百一十
Chinese (financial)
壹拾參萬捌仟柒佰壹拾
In other modern scripts
Eastern Arabic ١٣٨٧١٠ Devanagari १३८७१० Bengali ১৩৮৭১০ Tamil ௧௩௮௭௧௦ Thai ๑๓๘๗๑๐ Tibetan ༡༣༨༧༡༠ Khmer ១៣៨៧១០ Lao ໑໓໘໗໑໐ Burmese ၁၃၈၇၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138710, here are decompositions:

  • 31 + 138679 = 138710
  • 73 + 138637 = 138710
  • 139 + 138571 = 138710
  • 151 + 138559 = 138710
  • 163 + 138547 = 138710
  • 193 + 138517 = 138710
  • 199 + 138511 = 138710
  • 241 + 138469 = 138710

Showing the first eight; more decompositions exist.

Unicode codepoint
𡷖
CJK Unified Ideograph-21Dd6
U+21DD6
Other letter (Lo)

UTF-8 encoding: F0 A1 B7 96 (4 bytes).

Hex color
#021DD6
RGB(2, 29, 214)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.214.

Address
0.2.29.214
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.214

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 138,710 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 138710 first appears in π at position 190,805 of the decimal expansion (the 190,805ordinal-suffix:th 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

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