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138,532

138,532 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.).

138,532 (one hundred thirty-eight thousand five hundred thirty-two) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 59 × 587. Written other ways, in hexadecimal, 0x21D24.

Arithmetic Number Cube-Free Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
22
Digit product
720
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
235,831
Recamán's sequence
a(491,763) = 138,532
Square (n²)
19,191,115,024
Cube (n³)
2,658,583,546,504,768
Divisor count
12
σ(n) — sum of divisors
246,960
φ(n) — Euler's totient
67,976
Sum of prime factors
650

Primality

Prime factorization: 2 2 × 59 × 587

Nearest primes: 138,517 (−15) · 138,547 (+15)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 59 · 118 · 236 · 587 · 1174 · 2348 · 34633 · 69266 (half) · 138532
Aliquot sum (sum of proper divisors): 108,428
Factor pairs (a × b = 138,532)
1 × 138532
2 × 69266
4 × 34633
59 × 2348
118 × 1174
236 × 587
First multiples
138,532 · 277,064 (double) · 415,596 · 554,128 · 692,660 · 831,192 · 969,724 · 1,108,256 · 1,246,788 · 1,385,320

Sums & aliquot sequence

As consecutive integers: 17,313 + 17,314 + … + 17,320 2,319 + 2,320 + … + 2,377 58 + 59 + … + 529
Aliquot sequence: 138,532 108,428 81,328 106,160 140,848 132,076 140,084 140,140 262,052 275,548 318,724 318,780 939,204 1,774,780 2,563,148 2,563,204 2,730,364 — unresolved within range

Continued fraction of √n

√138,532 = [372; (5, 35, 4, 25, 2, 2, 1, 1, 1, 6, 3, 1, 4, 1, 7, 2, 1, 4, 1, 3, 18, 1, 4, 1, …)]

Representations

In words
one hundred thirty-eight thousand five hundred thirty-two
Ordinal
138532nd
Binary
100001110100100100
Octal
416444
Hexadecimal
0x21D24
Base64
Ah0k
One's complement
4,294,828,763 (32-bit)
Scientific notation
1.38532 × 10⁵
As a duration
138,532 s = 1 day, 14 hours, 28 minutes, 52 seconds
In other bases
ternary (3) 21001000211
quaternary (4) 201310210
quinary (5) 13413112
senary (6) 2545204
septenary (7) 1114612
nonary (9) 231024
undecimal (11) 95099
duodecimal (12) 68204
tridecimal (13) 4b094
tetradecimal (14) 386b2
pentadecimal (15) 2b0a7

As an angle

138,532° = 384 × 360° + 292°
292° ≈ 5.096 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληφλβʹ
Mayan (base 20)
𝋱·𝋦·𝋦·𝋬
Chinese
一十三萬八千五百三十二
Chinese (financial)
壹拾參萬捌仟伍佰參拾貳
In other modern scripts
Eastern Arabic ١٣٨٥٣٢ Devanagari १३८५३२ Bengali ১৩৮৫৩২ Tamil ௧௩௮௫௩௨ Thai ๑๓๘๕๓๒ Tibetan ༡༣༨༥༣༢ Khmer ១៣៨៥៣២ Lao ໑໓໘໕໓໒ Burmese ၁၃၈၅၃၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138532, here are decompositions:

  • 71 + 138461 = 138532
  • 83 + 138449 = 138532
  • 131 + 138401 = 138532
  • 281 + 138251 = 138532
  • 293 + 138239 = 138532
  • 353 + 138179 = 138532
  • 389 + 138143 = 138532
  • 419 + 138113 = 138532

Showing the first eight; more decompositions exist.

Unicode codepoint
𡴤
CJK Unified Ideograph-21D24
U+21D24
Other letter (Lo)

UTF-8 encoding: F0 A1 B4 A4 (4 bytes).

Hex color
#021D24
RGB(2, 29, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.36.

Address
0.2.29.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.36

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 138,532 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 138532 first appears in π at position 164,237 of the decimal expansion (the 164,237ordinal-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