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138,724

138,724 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.).

138,724 (one hundred thirty-eight thousand seven hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 79 × 439. Written other ways, in hexadecimal, 0x21DE4.

Cube-Free Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
1,344
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
427,831
Recamán's sequence
a(491,379) = 138,724
Square (n²)
19,244,348,176
Cube (n³)
2,669,652,956,367,424
Divisor count
12
σ(n) — sum of divisors
246,400
φ(n) — Euler's totient
68,328
Sum of prime factors
522

Primality

Prime factorization: 2 2 × 79 × 439

Nearest primes: 138,683 (−41) · 138,727 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 79 · 158 · 316 · 439 · 878 · 1756 · 34681 · 69362 (half) · 138724
Aliquot sum (sum of proper divisors): 107,676
Factor pairs (a × b = 138,724)
1 × 138724
2 × 69362
4 × 34681
79 × 1756
158 × 878
316 × 439
First multiples
138,724 · 277,448 (double) · 416,172 · 554,896 · 693,620 · 832,344 · 971,068 · 1,109,792 · 1,248,516 · 1,387,240

Sums & aliquot sequence

As consecutive integers: 17,337 + 17,338 + … + 17,344 1,717 + 1,718 + … + 1,795 97 + 98 + … + 535
Aliquot sequence: 138,724 107,676 171,764 142,060 156,308 129,292 96,976 126,224 171,376 160,696 147,104 142,570 119,870 95,914 97,622 79,018 39,512 — unresolved within range

Continued fraction of √n

√138,724 = [372; (2, 5, 3, 1, 1, 1, 3, 4, 7, 1, 1, 9, 3, 1, 2, 1, 1, 22, 1, 2, 2, 1, 4, 1, …)]

Representations

In words
one hundred thirty-eight thousand seven hundred twenty-four
Ordinal
138724th
Binary
100001110111100100
Octal
416744
Hexadecimal
0x21DE4
Base64
Ah3k
One's complement
4,294,828,571 (32-bit)
Scientific notation
1.38724 × 10⁵
As a duration
138,724 s = 1 day, 14 hours, 32 minutes, 4 seconds
In other bases
ternary (3) 21001021221
quaternary (4) 201313210
quinary (5) 13414344
senary (6) 2550124
septenary (7) 1115305
nonary (9) 231257
undecimal (11) 95253
duodecimal (12) 68344
tridecimal (13) 4b1b1
tetradecimal (14) 387ac
pentadecimal (15) 2b184

As an angle

138,724° = 385 × 360° + 124°
124° ≈ 2.164 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληψκδʹ
Mayan (base 20)
𝋱·𝋦·𝋰·𝋤
Chinese
一十三萬八千七百二十四
Chinese (financial)
壹拾參萬捌仟柒佰貳拾肆
In other modern scripts
Eastern Arabic ١٣٨٧٢٤ Devanagari १३८७२४ Bengali ১৩৮৭২৪ Tamil ௧௩௮௭௨௪ Thai ๑๓๘๗๒๔ Tibetan ༡༣༨༧༢༤ Khmer ១៣៨៧២៤ Lao ໑໓໘໗໒໔ Burmese ၁၃၈၇၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138724, here are decompositions:

  • 41 + 138683 = 138724
  • 83 + 138641 = 138724
  • 107 + 138617 = 138724
  • 137 + 138587 = 138724
  • 227 + 138497 = 138724
  • 263 + 138461 = 138724
  • 317 + 138407 = 138724
  • 353 + 138371 = 138724

Showing the first eight; more decompositions exist.

Unicode codepoint
𡷤
CJK Unified Ideograph-21De4
U+21DE4
Other letter (Lo)

UTF-8 encoding: F0 A1 B7 A4 (4 bytes).

Hex color
#021DE4
RGB(2, 29, 228)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.228.

Address
0.2.29.228
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.228

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 138,724 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