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138,784

138,784 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.).

138,784 (one hundred thirty-eight thousand seven hundred eighty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 4,337. Written other ways, in hexadecimal, 0x21E20.

Deficient Number Evil Number Happy Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
31
Digit product
5,376
Digital root
4
Palindrome
No
Bit width
18 bits
Reversed
487,831
Recamán's sequence
a(491,259) = 138,784
Square (n²)
19,260,998,656
Cube (n³)
2,673,118,437,474,304
Divisor count
12
σ(n) — sum of divisors
273,294
φ(n) — Euler's totient
69,376
Sum of prime factors
4,347

Primality

Prime factorization: 2 5 × 4337

Nearest primes: 138,763 (−21) · 138,793 (+9)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 4337 · 8674 · 17348 · 34696 · 69392 (half) · 138784
Aliquot sum (sum of proper divisors): 134,510
Factor pairs (a × b = 138,784)
1 × 138784
2 × 69392
4 × 34696
8 × 17348
16 × 8674
32 × 4337
First multiples
138,784 · 277,568 (double) · 416,352 · 555,136 · 693,920 · 832,704 · 971,488 · 1,110,272 · 1,249,056 · 1,387,840

Sums & aliquot sequence

As a sum of two squares: 20² + 372²
As consecutive integers: 2,137 + 2,138 + … + 2,200
Aliquot sequence: 138,784 134,510 107,626 53,816 65,344 64,450 55,520 76,024 90,296 79,024 88,376 77,344 74,990 60,010 54,686 29,674 16,154 — unresolved within range

Continued fraction of √n

√138,784 = [372; (1, 1, 6, 4, 1, 2, 1, 1, 11, 1, 5, 2, 1, 14, 1, 1, 11, 3, 4, 2, 4, 1, 2, 1, …)]

Representations

In words
one hundred thirty-eight thousand seven hundred eighty-four
Ordinal
138784th
Binary
100001111000100000
Octal
417040
Hexadecimal
0x21E20
Base64
Ah4g
One's complement
4,294,828,511 (32-bit)
Scientific notation
1.38784 × 10⁵
As a duration
138,784 s = 1 day, 14 hours, 33 minutes, 4 seconds
In other bases
ternary (3) 21001101011
quaternary (4) 201320200
quinary (5) 13420114
senary (6) 2550304
septenary (7) 1115422
nonary (9) 231334
undecimal (11) 952a8
duodecimal (12) 68394
tridecimal (13) 4b229
tetradecimal (14) 38812
pentadecimal (15) 2b1c4

As an angle

138,784° = 385 × 360° + 184°
184° ≈ 3.211 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληψπδʹ
Mayan (base 20)
𝋱·𝋦·𝋳·𝋤
Chinese
一十三萬八千七百八十四
Chinese (financial)
壹拾參萬捌仟柒佰捌拾肆
In other modern scripts
Eastern Arabic ١٣٨٧٨٤ Devanagari १३८७८४ Bengali ১৩৮৭৮৪ Tamil ௧௩௮௭௮௪ Thai ๑๓๘๗๘๔ Tibetan ༡༣༨༧༨༤ Khmer ១៣៨៧៨៤ Lao ໑໓໘໗໘໔ Burmese ၁၃၈၇၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138784, here are decompositions:

  • 53 + 138731 = 138784
  • 101 + 138683 = 138784
  • 137 + 138647 = 138784
  • 167 + 138617 = 138784
  • 197 + 138587 = 138784
  • 383 + 138401 = 138784
  • 461 + 138323 = 138784
  • 587 + 138197 = 138784

Showing the first eight; more decompositions exist.

Unicode codepoint
𡸠
CJK Unified Ideograph-21E20
U+21E20
Other letter (Lo)

UTF-8 encoding: F0 A1 B8 A0 (4 bytes).

Hex color
#021E20
RGB(2, 30, 32)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.32.

Address
0.2.30.32
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.32

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 138,784 and was likely granted around 1872.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Related reading