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138,036

138,036 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.).

138,036 (one hundred thirty-eight thousand thirty-six) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 3 × 11,503. Its proper divisors sum to 184,076, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B34.

Abundant Number Cube-Free Evil Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
21
Digit product
0
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
630,831
Recamán's sequence
a(492,755) = 138,036
Square (n²)
19,053,937,296
Cube (n³)
2,630,129,288,590,656
Divisor count
12
σ(n) — sum of divisors
322,112
φ(n) — Euler's totient
46,008
Sum of prime factors
11,510

Primality

Prime factorization: 2 2 × 3 × 11503

Nearest primes: 138,007 (−29) · 138,041 (+5)

Divisors & multiples

All divisors (12)
1 · 2 · 3 · 4 · 6 · 12 · 11503 · 23006 · 34509 · 46012 · 69018 (half) · 138036
Aliquot sum (sum of proper divisors): 184,076
Factor pairs (a × b = 138,036)
1 × 138036
2 × 69018
3 × 46012
4 × 34509
6 × 23006
12 × 11503
First multiples
138,036 · 276,072 (double) · 414,108 · 552,144 · 690,180 · 828,216 · 966,252 · 1,104,288 · 1,242,324 · 1,380,360

Sums & aliquot sequence

As consecutive integers: 46,011 + 46,012 + 46,013 17,251 + 17,252 + … + 17,258 5,740 + 5,741 + … + 5,763
Aliquot sequence: 138,036 184,076 157,132 120,684 166,596 222,156 448,164 709,356 945,836 719,884 654,524 613,204 473,420 520,804 390,610 402,542 287,554 — unresolved within range

Continued fraction of √n

√138,036 = [371; (1, 1, 7, 3, 8, 1, 31, 2, 2, 2, 2, 1, 2, 3, 1, 19, 3, 4, 1, 3, 1, 11, 1, 1, …)]

Representations

In words
one hundred thirty-eight thousand thirty-six
Ordinal
138036th
Binary
100001101100110100
Octal
415464
Hexadecimal
0x21B34
Base64
Ahs0
One's complement
4,294,829,259 (32-bit)
Scientific notation
1.38036 × 10⁵
As a duration
138,036 s = 1 day, 14 hours, 20 minutes, 36 seconds
In other bases
ternary (3) 21000100110
quaternary (4) 201230310
quinary (5) 13404121
senary (6) 2543020
septenary (7) 1113303
nonary (9) 230313
undecimal (11) 94788
duodecimal (12) 67a70
tridecimal (13) 4aaa2
tetradecimal (14) 3843a
pentadecimal (15) 2ad76

As an angle

138,036° = 383 × 360° + 156°
156° ≈ 2.723 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληλϛʹ
Mayan (base 20)
𝋱·𝋥·𝋡·𝋰
Chinese
一十三萬八千零三十六
Chinese (financial)
壹拾參萬捌仟零參拾陸
In other modern scripts
Eastern Arabic ١٣٨٠٣٦ Devanagari १३८०३६ Bengali ১৩৮০৩৬ Tamil ௧௩௮௦௩௬ Thai ๑๓๘๐๓๖ Tibetan ༡༣༨༠༣༦ Khmer ១៣៨០៣៦ Lao ໑໓໘໐໓໖ Burmese ၁၃၈၀၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138036, here are decompositions:

  • 29 + 138007 = 138036
  • 37 + 137999 = 138036
  • 43 + 137993 = 138036
  • 53 + 137983 = 138036
  • 79 + 137957 = 138036
  • 89 + 137947 = 138036
  • 103 + 137933 = 138036
  • 109 + 137927 = 138036

Showing the first eight; more decompositions exist.

Unicode codepoint
𡬴
CJK Unified Ideograph-21B34
U+21B34
Other letter (Lo)

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

Hex color
#021B34
RGB(2, 27, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.52.

Address
0.2.27.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.52

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 138,036 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 138036 first appears in π at position 204,767 of the decimal expansion (the 204,767ordinal-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°.