number.wiki
Live analysis

138,736

138,736 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.).

138,736 (one hundred thirty-eight thousand seven hundred thirty-six) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 13 × 23 × 29. Its proper divisors sum to 173,744, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21DF0.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
28
Digit product
3,024
Digital root
1
Palindrome
No
Bit width
18 bits
Reversed
637,831
Recamán's sequence
a(491,355) = 138,736
Square (n²)
19,247,677,696
Cube (n³)
2,670,345,812,832,256
Divisor count
40
σ(n) — sum of divisors
312,480
φ(n) — Euler's totient
59,136
Sum of prime factors
73

Primality

Prime factorization: 2 4 × 13 × 23 × 29

Nearest primes: 138,731 (−5) · 138,739 (+3)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 8 · 13 · 16 · 23 · 26 · 29 · 46 · 52 · 58 · 92 · 104 · 116 · 184 · 208 · 232 · 299 · 368 · 377 · 464 · 598 · 667 · 754 · 1196 · 1334 · 1508 · 2392 · 2668 · 3016 · 4784 · 5336 · 6032 · 8671 · 10672 · 17342 · 34684 · 69368 (half) · 138736
Aliquot sum (sum of proper divisors): 173,744
Factor pairs (a × b = 138,736)
1 × 138736
2 × 69368
4 × 34684
8 × 17342
13 × 10672
16 × 8671
23 × 6032
26 × 5336
29 × 4784
46 × 3016
52 × 2668
58 × 2392
92 × 1508
104 × 1334
116 × 1196
184 × 754
208 × 667
232 × 598
299 × 464
368 × 377
First multiples
138,736 · 277,472 (double) · 416,208 · 554,944 · 693,680 · 832,416 · 971,152 · 1,109,888 · 1,248,624 · 1,387,360

Sums & aliquot sequence

As consecutive integers: 10,666 + 10,667 + … + 10,678 6,021 + 6,022 + … + 6,043 4,770 + 4,771 + … + 4,798 4,320 + 4,321 + … + 4,351
Aliquot sequence: 138,736 173,744 162,916 147,086 75,178 37,592 35,368 30,962 16,234 8,120 13,480 16,940 27,748 27,804 46,564 46,620 119,364 — unresolved within range

Continued fraction of √n

√138,736 = [372; (2, 8, 1, 2, 3, 3, 3, 1, 3, 3, 3, 2, 1, 8, 2, 744)]

Period length 16 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand seven hundred thirty-six
Ordinal
138736th
Binary
100001110111110000
Octal
416760
Hexadecimal
0x21DF0
Base64
Ah3w
One's complement
4,294,828,559 (32-bit)
Scientific notation
1.38736 × 10⁵
As a duration
138,736 s = 1 day, 14 hours, 32 minutes, 16 seconds
In other bases
ternary (3) 21001022101
quaternary (4) 201313300
quinary (5) 13414421
senary (6) 2550144
septenary (7) 1115323
nonary (9) 231271
undecimal (11) 95264
duodecimal (12) 68354
tridecimal (13) 4b1c0
tetradecimal (14) 387ba
pentadecimal (15) 2b191

As an angle

138,736° = 385 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληψλϛʹ
Mayan (base 20)
𝋱·𝋦·𝋰·𝋰
Chinese
一十三萬八千七百三十六
Chinese (financial)
壹拾參萬捌仟柒佰參拾陸
In other modern scripts
Eastern Arabic ١٣٨٧٣٦ Devanagari १३८७३६ Bengali ১৩৮৭৩৬ Tamil ௧௩௮௭௩௬ Thai ๑๓๘๗๓๖ Tibetan ༡༣༨༧༣༦ Khmer ១៣៨៧៣៦ Lao ໑໓໘໗໓໖ Burmese ၁၃၈၇၃၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138736, here are decompositions:

  • 5 + 138731 = 138736
  • 53 + 138683 = 138736
  • 89 + 138647 = 138736
  • 107 + 138629 = 138736
  • 137 + 138599 = 138736
  • 149 + 138587 = 138736
  • 167 + 138569 = 138736
  • 173 + 138563 = 138736

Showing the first eight; more decompositions exist.

Unicode codepoint
𡷰
CJK Unified Ideograph-21Df0
U+21DF0
Other letter (Lo)

UTF-8 encoding: F0 A1 B7 B0 (4 bytes).

Hex color
#021DF0
RGB(2, 29, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.29.240.

Address
0.2.29.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.29.240

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 138,736 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