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138,536

138,536 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.).

138,536 (one hundred thirty-eight thousand five hundred thirty-six) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 17,317. Written other ways, in hexadecimal, 0x21D28.

Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
26
Digit product
2,160
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
635,831
Recamán's sequence
a(491,755) = 138,536
Square (n²)
19,192,223,296
Cube (n³)
2,658,813,846,534,656
Divisor count
8
σ(n) — sum of divisors
259,770
φ(n) — Euler's totient
69,264
Sum of prime factors
17,323

Primality

Prime factorization: 2 3 × 17317

Nearest primes: 138,517 (−19) · 138,547 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 17317 · 34634 · 69268 (half) · 138536
Aliquot sum (sum of proper divisors): 121,234
Factor pairs (a × b = 138,536)
1 × 138536
2 × 69268
4 × 34634
8 × 17317
First multiples
138,536 · 277,072 (double) · 415,608 · 554,144 · 692,680 · 831,216 · 969,752 · 1,108,288 · 1,246,824 · 1,385,360

Sums & aliquot sequence

As a sum of two squares: 206² + 310²
As consecutive integers: 8,651 + 8,652 + … + 8,666
Aliquot sequence: 138,536 121,234 60,620 85,204 96,236 100,072 114,488 119,872 118,126 59,066 42,214 21,110 16,906 9,014 4,510 4,562 2,284 — unresolved within range

Continued fraction of √n

√138,536 = [372; (4, 1, 8, 1, 1, 1, 1, 1, 6, 1, 1, 1, 1, 9, 1, 1, 2, 4, 1, 1, 185, 1, 1, 4, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand five hundred thirty-six
Ordinal
138536th
Binary
100001110100101000
Octal
416450
Hexadecimal
0x21D28
Base64
Ah0o
One's complement
4,294,828,759 (32-bit)
Scientific notation
1.38536 × 10⁵
As a duration
138,536 s = 1 day, 14 hours, 28 minutes, 56 seconds
In other bases
ternary (3) 21001000222
quaternary (4) 201310220
quinary (5) 13413121
senary (6) 2545212
septenary (7) 1114616
nonary (9) 231028
undecimal (11) 950a2
duodecimal (12) 68208
tridecimal (13) 4b098
tetradecimal (14) 386b6
pentadecimal (15) 2b0ab

As an angle

138,536° = 384 × 360° + 296°
296° ≈ 5.166 rad
Compass bearing: WNW (west-northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληφλϛʹ
Mayan (base 20)
𝋱·𝋦·𝋦·𝋰
Chinese
一十三萬八千五百三十六
Chinese (financial)
壹拾參萬捌仟伍佰參拾陸
In other modern scripts
Eastern Arabic ١٣٨٥٣٦ Devanagari १३८५३६ Bengali ১৩৮৫৩৬ Tamil ௧௩௮௫௩௬ Thai ๑๓๘๕๓๖ Tibetan ༡༣༨༥༣༦ Khmer ១៣៨៥៣៦ Lao ໑໓໘໕໓໖ Burmese ၁၃၈၅၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138536, here are decompositions:

  • 19 + 138517 = 138536
  • 43 + 138493 = 138536
  • 67 + 138469 = 138536
  • 103 + 138433 = 138536
  • 109 + 138427 = 138536
  • 163 + 138373 = 138536
  • 199 + 138337 = 138536
  • 373 + 138163 = 138536

Showing the first eight; more decompositions exist.

Unicode codepoint
𡴨
CJK Unified Ideograph-21D28
U+21D28
Other letter (Lo)

UTF-8 encoding: F0 A1 B4 A8 (4 bytes).

Hex color
#021D28
RGB(2, 29, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.40.

Address
0.2.29.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.40

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 138,536 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 138536 first appears in π at position 138,725 of the decimal expansion (the 138,725ordinal-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.