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138,728

138,728 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.).

138,728 (one hundred thirty-eight thousand seven hundred twenty-eight) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 17,341. Written other ways, in hexadecimal, 0x21DE8.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
29
Digit product
2,688
Digital root
2
Palindrome
No
Bit width
18 bits
Reversed
827,831
Recamán's sequence
a(491,371) = 138,728
Square (n²)
19,245,457,984
Cube (n³)
2,669,883,895,204,352
Divisor count
8
σ(n) — sum of divisors
260,130
φ(n) — Euler's totient
69,360
Sum of prime factors
17,347

Primality

Prime factorization: 2 3 × 17341

Nearest primes: 138,727 (−1) · 138,731 (+3)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 17341 · 34682 · 69364 (half) · 138728
Aliquot sum (sum of proper divisors): 121,402
Factor pairs (a × b = 138,728)
1 × 138728
2 × 69364
4 × 34682
8 × 17341
First multiples
138,728 · 277,456 (double) · 416,184 · 554,912 · 693,640 · 832,368 · 971,096 · 1,109,824 · 1,248,552 · 1,387,280

Sums & aliquot sequence

As a sum of two squares: 218² + 302²
As consecutive integers: 8,663 + 8,664 + … + 8,678
Aliquot sequence: 138,728 121,402 62,810 60,742 39,806 24,538 12,272 13,768 12,062 6,634 3,734 1,870 2,018 1,012 1,004 760 1,040 — unresolved within range

Continued fraction of √n

√138,728 = [372; (2, 6, 10, 1, 4, 43, 1, 1, 1, 1, 1, 1, 185, 1, 1, 1, 1, 1, 1, 43, 4, 1, 10, 6, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand seven hundred twenty-eight
Ordinal
138728th
Binary
100001110111101000
Octal
416750
Hexadecimal
0x21DE8
Base64
Ah3o
One's complement
4,294,828,567 (32-bit)
Scientific notation
1.38728 × 10⁵
As a duration
138,728 s = 1 day, 14 hours, 32 minutes, 8 seconds
In other bases
ternary (3) 21001022002
quaternary (4) 201313220
quinary (5) 13414403
senary (6) 2550132
septenary (7) 1115312
nonary (9) 231262
undecimal (11) 95257
duodecimal (12) 68348
tridecimal (13) 4b1b5
tetradecimal (14) 387b2
pentadecimal (15) 2b188

As an angle

138,728° = 385 × 360° + 128°
128° ≈ 2.234 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληψκηʹ
Mayan (base 20)
𝋱·𝋦·𝋰·𝋨
Chinese
一十三萬八千七百二十八
Chinese (financial)
壹拾參萬捌仟柒佰貳拾捌
In other modern scripts
Eastern Arabic ١٣٨٧٢٨ Devanagari १३८७२८ Bengali ১৩৮৭২৮ Tamil ௧௩௮௭௨௮ Thai ๑๓๘๗๒๘ Tibetan ༡༣༨༧༢༨ Khmer ១៣៨៧២៨ Lao ໑໓໘໗໒໘ Burmese ၁၃၈၇၂၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138728, here are decompositions:

  • 67 + 138661 = 138728
  • 151 + 138577 = 138728
  • 157 + 138571 = 138728
  • 181 + 138547 = 138728
  • 211 + 138517 = 138728
  • 277 + 138451 = 138728
  • 379 + 138349 = 138728
  • 409 + 138319 = 138728

Showing the first eight; more decompositions exist.

Unicode codepoint
𡷨
CJK Unified Ideograph-21De8
U+21DE8
Other letter (Lo)

UTF-8 encoding: F0 A1 B7 A8 (4 bytes).

Hex color
#021DE8
RGB(2, 29, 232)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.232.

Address
0.2.29.232
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.232

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 138,728 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 138728 first appears in π at position 784,743 of the decimal expansion (the 784,743ordinal-suffix:rd 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.