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138,588

138,588 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.).

138,588 (one hundred thirty-eight thousand five hundred eighty-eight) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,549. Its proper divisors sum to 184,812, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21D5C.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
33
Digit product
7,680
Digital root
6
Palindrome
No
Bit width
18 bits
Reversed
885,831
Recamán's sequence
a(491,651) = 138,588
Square (n²)
19,206,633,744
Cube (n³)
2,661,808,957,313,472
Divisor count
12
σ(n) — sum of divisors
323,400
φ(n) — Euler's totient
46,192
Sum of prime factors
11,556

Primality

Prime factorization: 2 2 × 3 × 11549

Nearest primes: 138,587 (−1) · 138,599 (+11)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11549 · 23098 · 34647 · 46196 · 69294 (half) · 138588
Aliquot sum (sum of proper divisors): 184,812
Factor pairs (a × b = 138,588)
1 × 138588
2 × 69294
3 × 46196
4 × 34647
6 × 23098
12 × 11549
First multiples
138,588 · 277,176 (double) · 415,764 · 554,352 · 692,940 · 831,528 · 970,116 · 1,108,704 · 1,247,292 · 1,385,880

Sums & aliquot sequence

As consecutive integers: 46,195 + 46,196 + 46,197 17,320 + 17,321 + … + 17,327 5,763 + 5,764 + … + 5,786
Aliquot sequence: 138,588 184,812 246,444 381,204 582,486 582,498 984,222 1,148,298 1,308,918 1,555,818 1,866,006 2,228,994 2,600,532 4,847,468 3,659,212 2,777,988 3,744,892 — unresolved within range

Continued fraction of √n

√138,588 = [372; (3, 1, 1, 1, 5, 2, 2, 1, 1, 34, 1, 6, 1, 2, 2, 1, 1, 1, 8, 2, 1, 14, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand five hundred eighty-eight
Ordinal
138588th
Binary
100001110101011100
Octal
416534
Hexadecimal
0x21D5C
Base64
Ah1c
One's complement
4,294,828,707 (32-bit)
Scientific notation
1.38588 × 10⁵
As a duration
138,588 s = 1 day, 14 hours, 29 minutes, 48 seconds
In other bases
ternary (3) 21001002220
quaternary (4) 201311130
quinary (5) 13413323
senary (6) 2545340
septenary (7) 1115022
nonary (9) 231086
undecimal (11) 9513a
duodecimal (12) 68250
tridecimal (13) 4b108
tetradecimal (14) 38712
pentadecimal (15) 2b0e3

As an angle

138,588° = 384 × 360° + 348°
348° ≈ 6.074 rad
Compass bearing: NNW (north-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληφπηʹ
Mayan (base 20)
𝋱·𝋦·𝋩·𝋨
Chinese
一十三萬八千五百八十八
Chinese (financial)
壹拾參萬捌仟伍佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٨٥٨٨ Devanagari १३८५८८ Bengali ১৩৮৫৮৮ Tamil ௧௩௮௫௮௮ Thai ๑๓๘๕๘๘ Tibetan ༡༣༨༥༨༨ Khmer ១៣៨៥៨៨ Lao ໑໓໘໕໘໘ Burmese ၁၃၈၅၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138588, here are decompositions:

  • 7 + 138581 = 138588
  • 11 + 138577 = 138588
  • 17 + 138571 = 138588
  • 19 + 138569 = 138588
  • 29 + 138559 = 138588
  • 41 + 138547 = 138588
  • 71 + 138517 = 138588
  • 127 + 138461 = 138588

Showing the first eight; more decompositions exist.

Unicode codepoint
𡵜
CJK Unified Ideograph-21D5C
U+21D5C
Other letter (Lo)

UTF-8 encoding: F0 A1 B5 9C (4 bytes).

Hex color
#021D5C
RGB(2, 29, 92)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.92.

Address
0.2.29.92
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.92

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 138,588 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 138588 first appears in π at position 159,707 of the decimal expansion (the 159,707ordinal-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

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