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138,992

138,992 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.).

138,992 (one hundred thirty-eight thousand nine hundred ninety-two) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 7 × 17 × 73. Its proper divisors sum to 191,344, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21EF0.

Abundant Number Odious Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
32
Digit product
3,888
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
299,831
Recamán's sequence
a(490,843) = 138,992
Square (n²)
19,318,776,064
Cube (n³)
2,685,155,322,687,488
Divisor count
40
σ(n) — sum of divisors
330,336
φ(n) — Euler's totient
55,296
Sum of prime factors
105

Primality

Prime factorization: 2 4 × 7 × 17 × 73

Nearest primes: 138,977 (−15) · 139,021 (+29)

Divisors & multiples

All divisors (40)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 17 · 28 · 34 · 56 · 68 · 73 · 112 · 119 · 136 · 146 · 238 · 272 · 292 · 476 · 511 · 584 · 952 · 1022 · 1168 · 1241 · 1904 · 2044 · 2482 · 4088 · 4964 · 8176 · 8687 · 9928 · 17374 · 19856 · 34748 · 69496 (half) · 138992
Aliquot sum (sum of proper divisors): 191,344
Factor pairs (a × b = 138,992)
1 × 138992
2 × 69496
4 × 34748
7 × 19856
8 × 17374
14 × 9928
16 × 8687
17 × 8176
28 × 4964
34 × 4088
56 × 2482
68 × 2044
73 × 1904
112 × 1241
119 × 1168
136 × 1022
146 × 952
238 × 584
272 × 511
292 × 476
First multiples
138,992 · 277,984 (double) · 416,976 · 555,968 · 694,960 · 833,952 · 972,944 · 1,111,936 · 1,250,928 · 1,389,920

Sums & aliquot sequence

As consecutive integers: 19,853 + 19,854 + … + 19,859 8,168 + 8,169 + … + 8,184 4,328 + 4,329 + … + 4,359 1,868 + 1,869 + … + 1,940
Aliquot sequence: 138,992 191,344 179,416 165,824 163,360 222,956 171,004 128,260 173,384 151,726 78,314 39,160 58,040 72,640 101,096 88,474 48,614 — unresolved within range

Continued fraction of √n

√138,992 = [372; (1, 4, 2, 3, 1, 22, 1, 1, 9, 3, 3, 46, 3, 3, 9, 1, 1, 22, 1, 3, 2, 4, 1, 744)]

Period length 24 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand nine hundred ninety-two
Ordinal
138992nd
Binary
100001111011110000
Octal
417360
Hexadecimal
0x21EF0
Base64
Ah7w
One's complement
4,294,828,303 (32-bit)
Scientific notation
1.38992 × 10⁵
As a duration
138,992 s = 1 day, 14 hours, 36 minutes, 32 seconds
In other bases
ternary (3) 21001122212
quaternary (4) 201323300
quinary (5) 13421432
senary (6) 2551252
septenary (7) 1116140
nonary (9) 231585
undecimal (11) 95477
duodecimal (12) 68528
tridecimal (13) 4b359
tetradecimal (14) 38920
pentadecimal (15) 2b2b2
Palindromic in base 15

As an angle

138,992° = 386 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρληϡϟβʹ
Mayan (base 20)
𝋱·𝋧·𝋩·𝋬
Chinese
一十三萬八千九百九十二
Chinese (financial)
壹拾參萬捌仟玖佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٨٩٩٢ Devanagari १३८९९२ Bengali ১৩৮৯৯২ Tamil ௧௩௮௯௯௨ Thai ๑๓๘๙๙๒ Tibetan ༡༣༨༩༩༢ Khmer ១៣៨៩៩២ Lao ໑໓໘໙໙໒ Burmese ၁၃၈၉၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138992, here are decompositions:

  • 103 + 138889 = 138992
  • 109 + 138883 = 138992
  • 151 + 138841 = 138992
  • 163 + 138829 = 138992
  • 193 + 138799 = 138992
  • 199 + 138793 = 138992
  • 229 + 138763 = 138992
  • 313 + 138679 = 138992

Showing the first eight; more decompositions exist.

Unicode codepoint
𡻰
CJK Unified Ideograph-21Ef0
U+21EF0
Other letter (Lo)

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

Hex color
#021EF0
RGB(2, 30, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.30.240.

Address
0.2.30.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.30.240

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 138,992 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 138992 first appears in π at position 693,714 of the decimal expansion (the 693,714ordinal-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

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.