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138,712

138,712 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.).

138,712 (one hundred thirty-eight thousand seven hundred twelve) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,477. Its proper divisors sum to 158,648, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21DD8.

Abundant Number Arithmetic Number Odious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
336
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
217,831
Recamán's sequence
a(491,403) = 138,712
Square (n²)
19,241,018,944
Cube (n³)
2,668,960,219,760,128
Divisor count
16
σ(n) — sum of divisors
297,360
φ(n) — Euler's totient
59,424
Sum of prime factors
2,490

Primality

Prime factorization: 2 3 × 7 × 2477

Nearest primes: 138,683 (−29) · 138,727 (+15)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2477 · 4954 · 9908 · 17339 · 19816 · 34678 · 69356 (half) · 138712
Aliquot sum (sum of proper divisors): 158,648
Factor pairs (a × b = 138,712)
1 × 138712
2 × 69356
4 × 34678
7 × 19816
8 × 17339
14 × 9908
28 × 4954
56 × 2477
First multiples
138,712 · 277,424 (double) · 416,136 · 554,848 · 693,560 · 832,272 · 970,984 · 1,109,696 · 1,248,408 · 1,387,120

Sums & aliquot sequence

As consecutive integers: 19,813 + 19,814 + … + 19,819 8,662 + 8,663 + … + 8,677 1,183 + 1,184 + … + 1,294
Aliquot sequence: 138,712 158,648 181,432 158,768 148,876 172,564 172,620 430,164 846,636 1,411,284 2,435,244 4,193,364 6,989,164 8,490,440 13,342,840 20,968,040 26,210,140 — unresolved within range

Continued fraction of √n

√138,712 = [372; (2, 3, 1, 2, 2, 3, 4, 2, 1, 1, 4, 1, 7, 1, 2, 1, 5, 1, 30, 5, 2, 2, 8, 6, …)]

Representations

In words
one hundred thirty-eight thousand seven hundred twelve
Ordinal
138712th
Binary
100001110111011000
Octal
416730
Hexadecimal
0x21DD8
Base64
Ah3Y
One's complement
4,294,828,583 (32-bit)
Scientific notation
1.38712 × 10⁵
As a duration
138,712 s = 1 day, 14 hours, 31 minutes, 52 seconds
In other bases
ternary (3) 21001021111
quaternary (4) 201313120
quinary (5) 13414322
senary (6) 2550104
septenary (7) 1115260
nonary (9) 231244
undecimal (11) 95242
duodecimal (12) 68334
tridecimal (13) 4b1a2
tetradecimal (14) 387a0
pentadecimal (15) 2b177

As an angle

138,712° = 385 × 360° + 112°
112° ≈ 1.955 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρληψιβʹ
Mayan (base 20)
𝋱·𝋦·𝋯·𝋬
Chinese
一十三萬八千七百一十二
Chinese (financial)
壹拾參萬捌仟柒佰壹拾貳
In other modern scripts
Eastern Arabic ١٣٨٧١٢ Devanagari १३८७१२ Bengali ১৩৮৭১২ Tamil ௧௩௮௭௧௨ Thai ๑๓๘๗๑๒ Tibetan ༡༣༨༧༡༢ Khmer ១៣៨៧១២ Lao ໑໓໘໗໑໒ Burmese ၁၃၈၇၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138712, here are decompositions:

  • 29 + 138683 = 138712
  • 71 + 138641 = 138712
  • 83 + 138629 = 138712
  • 113 + 138599 = 138712
  • 131 + 138581 = 138712
  • 149 + 138563 = 138712
  • 251 + 138461 = 138712
  • 263 + 138449 = 138712

Showing the first eight; more decompositions exist.

Unicode codepoint
𡷘
CJK Unified Ideograph-21Dd8
U+21DD8
Other letter (Lo)

UTF-8 encoding: F0 A1 B7 98 (4 bytes).

Hex color
#021DD8
RGB(2, 29, 216)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.216.

Address
0.2.29.216
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.216

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 138,712 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 138712 first appears in π at position 254,642 of the decimal expansion (the 254,642ordinal-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