number.wiki
Live analysis

138,788

138,788 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.).

138,788 (one hundred thirty-eight thousand seven hundred eighty-eight) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 13 × 17 × 157. Its proper divisors sum to 139,924, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21E24.

Abundant Number Arithmetic Number Cube-Free Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
35
Digit product
10,752
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
887,831
Recamán's sequence
a(491,251) = 138,788
Square (n²)
19,262,108,944
Cube (n³)
2,673,349,576,119,872
Divisor count
24
σ(n) — sum of divisors
278,712
φ(n) — Euler's totient
59,904
Sum of prime factors
191

Primality

Prime factorization: 2 2 × 13 × 17 × 157

Nearest primes: 138,763 (−25) · 138,793 (+5)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 13 · 17 · 26 · 34 · 52 · 68 · 157 · 221 · 314 · 442 · 628 · 884 · 2041 · 2669 · 4082 · 5338 · 8164 · 10676 · 34697 · 69394 (half) · 138788
Aliquot sum (sum of proper divisors): 139,924
Factor pairs (a × b = 138,788)
1 × 138788
2 × 69394
4 × 34697
13 × 10676
17 × 8164
26 × 5338
34 × 4082
52 × 2669
68 × 2041
157 × 884
221 × 628
314 × 442
First multiples
138,788 · 277,576 (double) · 416,364 · 555,152 · 693,940 · 832,728 · 971,516 · 1,110,304 · 1,249,092 · 1,387,880

Sums & aliquot sequence

As a sum of two squares: 58² + 368² = 88² + 362² = 122² + 352² = 248² + 278²
As consecutive integers: 17,345 + 17,346 + … + 17,352 10,670 + 10,671 + … + 10,682 8,156 + 8,157 + … + 8,172 1,283 + 1,284 + … + 1,386
Aliquot sequence: 138,788 139,924 104,950 90,350 91,930 79,790 67,090 53,690 67,270 75,722 37,864 33,146 16,576 22,032 45,486 73,386 92,598 — unresolved within range

Continued fraction of √n

√138,788 = [372; (1, 1, 5, 2, 1, 2, 1, 2, 5, 1, 1, 744)]

Period length 12 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand seven hundred eighty-eight
Ordinal
138788th
Binary
100001111000100100
Octal
417044
Hexadecimal
0x21E24
Base64
Ah4k
One's complement
4,294,828,507 (32-bit)
Scientific notation
1.38788 × 10⁵
As a duration
138,788 s = 1 day, 14 hours, 33 minutes, 8 seconds
In other bases
ternary (3) 21001101022
quaternary (4) 201320210
quinary (5) 13420123
senary (6) 2550312
septenary (7) 1115426
nonary (9) 231338
undecimal (11) 95301
duodecimal (12) 68398
tridecimal (13) 4b230
tetradecimal (14) 38816
pentadecimal (15) 2b1c8

As an angle

138,788° = 385 × 360° + 188°
188° ≈ 3.281 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ρληψπηʹ
Mayan (base 20)
𝋱·𝋦·𝋳·𝋨
Chinese
一十三萬八千七百八十八
Chinese (financial)
壹拾參萬捌仟柒佰捌拾捌
In other modern scripts
Eastern Arabic ١٣٨٧٨٨ Devanagari १३८७८८ Bengali ১৩৮৭৮৮ Tamil ௧௩௮௭௮௮ Thai ๑๓๘๗๘๘ Tibetan ༡༣༨༧༨༨ Khmer ១៣៨៧៨៨ Lao ໑໓໘໗໘໘ Burmese ၁၃၈၇၈၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138788, here are decompositions:

  • 61 + 138727 = 138788
  • 109 + 138679 = 138788
  • 127 + 138661 = 138788
  • 151 + 138637 = 138788
  • 211 + 138577 = 138788
  • 229 + 138559 = 138788
  • 241 + 138547 = 138788
  • 271 + 138517 = 138788

Showing the first eight; more decompositions exist.

Unicode codepoint
𡸤
CJK Unified Ideograph-21E24
U+21E24
Other letter (Lo)

UTF-8 encoding: F0 A1 B8 A4 (4 bytes).

Hex color
#021E24
RGB(2, 30, 36)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.36.

Address
0.2.30.36
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.36

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 138,788 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 138788 first appears in π at position 971,823 of the decimal expansion (the 971,823ordinal-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.