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138,792

138,792 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.).

138,792 (one hundred thirty-eight thousand seven hundred ninety-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 3 × 5,783. Its proper divisors sum to 208,248, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21E28.

Abundant Number Arithmetic Number Gapful Number Happy Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
30
Digit product
3,024
Digital root
3
Palindrome
No
Bit width
18 bits
Reversed
297,831
Recamán's sequence
a(491,243) = 138,792
Square (n²)
19,263,219,264
Cube (n³)
2,673,580,728,089,088
Divisor count
16
σ(n) — sum of divisors
347,040
φ(n) — Euler's totient
46,256
Sum of prime factors
5,792

Primality

Prime factorization: 2 3 × 3 × 5783

Nearest primes: 138,763 (−29) · 138,793 (+1)

Divisors & multiples

All divisors (16)
1 · 2 · 3 · 4 · 6 · 8 · 12 · 24 · 5783 · 11566 · 17349 · 23132 · 34698 · 46264 · 69396 (half) · 138792
Aliquot sum (sum of proper divisors): 208,248
Factor pairs (a × b = 138,792)
1 × 138792
2 × 69396
3 × 46264
4 × 34698
6 × 23132
8 × 17349
12 × 11566
24 × 5783
First multiples
138,792 · 277,584 (double) · 416,376 · 555,168 · 693,960 · 832,752 · 971,544 · 1,110,336 · 1,249,128 · 1,387,920

Sums & aliquot sequence

As consecutive integers: 46,263 + 46,264 + 46,265 8,667 + 8,668 + … + 8,682 2,868 + 2,869 + … + 2,915
Aliquot sequence: 138,792 208,248 312,432 532,752 970,128 1,745,286 1,897,338 1,897,350 3,935,610 7,760,646 9,054,126 11,267,154 13,970,286 21,108,114 27,831,546 34,722,054 45,272,826 — unresolved within range

Continued fraction of √n

√138,792 = [372; (1, 1, 4, 1, 2, 2, 4, 2, 10, 1, 1, 30, 1, 1, 10, 2, 4, 2, 2, 1, 4, 1, 1, 744)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand seven hundred ninety-two
Ordinal
138792nd
Binary
100001111000101000
Octal
417050
Hexadecimal
0x21E28
Base64
Ah4o
One's complement
4,294,828,503 (32-bit)
Scientific notation
1.38792 × 10⁵
As a duration
138,792 s = 1 day, 14 hours, 33 minutes, 12 seconds
In other bases
ternary (3) 21001101110
quaternary (4) 201320220
quinary (5) 13420132
senary (6) 2550320
septenary (7) 1115433
nonary (9) 231343
undecimal (11) 95305
duodecimal (12) 683a0
tridecimal (13) 4b234
tetradecimal (14) 3881a
pentadecimal (15) 2b1cc

As an angle

138,792° = 385 × 360° + 192°
192° ≈ 3.351 rad
Compass bearing: SSW (south-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληψϟβʹ
Mayan (base 20)
𝋱·𝋦·𝋳·𝋬
Chinese
一十三萬八千七百九十二
Chinese (financial)
壹拾參萬捌仟柒佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٨٧٩٢ Devanagari १३८७९२ Bengali ১৩৮৭৯২ Tamil ௧௩௮௭௯௨ Thai ๑๓๘๗๙๒ Tibetan ༡༣༨༧༩༢ Khmer ១៣៨៧៩២ Lao ໑໓໘໗໙໒ Burmese ၁၃၈၇၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138792, here are decompositions:

  • 29 + 138763 = 138792
  • 53 + 138739 = 138792
  • 61 + 138731 = 138792
  • 109 + 138683 = 138792
  • 113 + 138679 = 138792
  • 131 + 138661 = 138792
  • 151 + 138641 = 138792
  • 163 + 138629 = 138792

Showing the first eight; more decompositions exist.

Unicode codepoint
𡸨
CJK Unified Ideograph-21E28
U+21E28
Other letter (Lo)

UTF-8 encoding: F0 A1 B8 A8 (4 bytes).

Hex color
#021E28
RGB(2, 30, 40)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.40.

Address
0.2.30.40
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.40

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 138,792 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 138792 first appears in π at position 307,866 of the decimal expansion (the 307,866ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.