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138,704

138,704 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.).

138,704 (one hundred thirty-eight thousand seven hundred four) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 8,669. Written other ways, in hexadecimal, 0x21DD0.

Arithmetic Number Deficient Number Evil Number Happy Number Recamán's Sequence Self Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
407,831
Recamán's sequence
a(491,419) = 138,704
Square (n²)
19,238,799,616
Cube (n³)
2,668,498,461,937,664
Divisor count
10
σ(n) — sum of divisors
268,770
φ(n) — Euler's totient
69,344
Sum of prime factors
8,677

Primality

Prime factorization: 2 4 × 8669

Nearest primes: 138,683 (−21) · 138,727 (+23)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 8669 · 17338 · 34676 · 69352 (half) · 138704
Aliquot sum (sum of proper divisors): 130,066
Factor pairs (a × b = 138,704)
1 × 138704
2 × 69352
4 × 34676
8 × 17338
16 × 8669
First multiples
138,704 · 277,408 (double) · 416,112 · 554,816 · 693,520 · 832,224 · 970,928 · 1,109,632 · 1,248,336 · 1,387,040

Sums & aliquot sequence

As a sum of two squares: 152² + 340²
As consecutive integers: 4,319 + 4,320 + … + 4,350
Aliquot sequence: 138,704 130,066 65,036 50,884 38,170 36,998 22,810 18,266 9,136 8,596 8,652 14,644 14,700 34,776 80,424 137,586 149,838 — unresolved within range

Continued fraction of √n

√138,704 = [372; (2, 3, 15, 1, 1, 3, 1, 1, 23, 2, 6, 1, 2, 1, 7, 10, 13, 2, 3, 1, 45, 1, 3, 2, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand seven hundred four
Ordinal
138704th
Binary
100001110111010000
Octal
416720
Hexadecimal
0x21DD0
Base64
Ah3Q
One's complement
4,294,828,591 (32-bit)
Scientific notation
1.38704 × 10⁵
As a duration
138,704 s = 1 day, 14 hours, 31 minutes, 44 seconds
In other bases
ternary (3) 21001021012
quaternary (4) 201313100
quinary (5) 13414304
senary (6) 2550052
septenary (7) 1115246
nonary (9) 231235
undecimal (11) 95235
duodecimal (12) 68328
tridecimal (13) 4b197
tetradecimal (14) 38796
pentadecimal (15) 2b16e

As an angle

138,704° = 385 × 360° + 104°
104° ≈ 1.815 rad
Compass bearing: ESE (east-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληψδʹ
Mayan (base 20)
𝋱·𝋦·𝋯·𝋤
Chinese
一十三萬八千七百零四
Chinese (financial)
壹拾參萬捌仟柒佰零肆
In other modern scripts
Eastern Arabic ١٣٨٧٠٤ Devanagari १३८७०४ Bengali ১৩৮৭০৪ Tamil ௧௩௮௭௦௪ Thai ๑๓๘๗๐๔ Tibetan ༡༣༨༧༠༤ Khmer ១៣៨៧០៤ Lao ໑໓໘໗໐໔ Burmese ၁၃၈၇၀၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138704, here are decompositions:

  • 43 + 138661 = 138704
  • 67 + 138637 = 138704
  • 127 + 138577 = 138704
  • 157 + 138547 = 138704
  • 193 + 138511 = 138704
  • 211 + 138493 = 138704
  • 271 + 138433 = 138704
  • 277 + 138427 = 138704

Showing the first eight; more decompositions exist.

Unicode codepoint
𡷐
CJK Unified Ideograph-21Dd0
U+21DD0
Other letter (Lo)

UTF-8 encoding: F0 A1 B7 90 (4 bytes).

Hex color
#021DD0
RGB(2, 29, 208)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.208.

Address
0.2.29.208
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.208

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 138,704 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 138704 first appears in π at position 265,413 of the decimal expansion (the 265,413ordinal-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.