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138,292

138,292 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.).

138,292 (one hundred thirty-eight thousand two hundred ninety-two) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 7 × 11 × 449. Its proper divisors sum to 164,108, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21C34.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
864
Digital root
7
Palindrome
No
Bit width
18 bits
Reversed
292,831
Recamán's sequence
a(492,243) = 138,292
Square (n²)
19,124,677,264
Cube (n³)
2,644,789,868,193,088
Divisor count
24
σ(n) — sum of divisors
302,400
φ(n) — Euler's totient
53,760
Sum of prime factors
471

Primality

Prime factorization: 2 2 × 7 × 11 × 449

Nearest primes: 138,289 (−3) · 138,311 (+19)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 7 · 11 · 14 · 22 · 28 · 44 · 77 · 154 · 308 · 449 · 898 · 1796 · 3143 · 4939 · 6286 · 9878 · 12572 · 19756 · 34573 · 69146 (half) · 138292
Aliquot sum (sum of proper divisors): 164,108
Factor pairs (a × b = 138,292)
1 × 138292
2 × 69146
4 × 34573
7 × 19756
11 × 12572
14 × 9878
22 × 6286
28 × 4939
44 × 3143
77 × 1796
154 × 898
308 × 449
First multiples
138,292 · 276,584 (double) · 414,876 · 553,168 · 691,460 · 829,752 · 968,044 · 1,106,336 · 1,244,628 · 1,382,920

Sums & aliquot sequence

As consecutive integers: 19,753 + 19,754 + … + 19,759 17,283 + 17,284 + … + 17,290 12,567 + 12,568 + … + 12,577 2,442 + 2,443 + … + 2,497
Aliquot sequence: 138,292 164,108 164,164 230,972 241,444 241,500 597,156 995,484 1,708,140 3,936,660 10,005,996 23,862,804 40,909,260 90,856,500 229,929,420 549,149,748 1,067,262,924 — unresolved within range

Continued fraction of √n

√138,292 = [371; (1, 7, 11, 1, 2, 7, 1, 1, 1, 8, 1, 1, 8, 46, 2, 1, 2, 1, 1, 1, 1, 4, 1, 4, …)]

Period length 50 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand two hundred ninety-two
Ordinal
138292nd
Binary
100001110000110100
Octal
416064
Hexadecimal
0x21C34
Base64
Ahw0
One's complement
4,294,829,003 (32-bit)
Scientific notation
1.38292 × 10⁵
As a duration
138,292 s = 1 day, 14 hours, 24 minutes, 52 seconds
In other bases
ternary (3) 21000200221
quaternary (4) 201300310
quinary (5) 13411132
senary (6) 2544124
septenary (7) 1114120
nonary (9) 230627
undecimal (11) 949a0
duodecimal (12) 68044
tridecimal (13) 4ac3b
tetradecimal (14) 38580
pentadecimal (15) 2ae97

As an angle

138,292° = 384 × 360° + 52°
52° ≈ 0.908 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρλησϟβʹ
Mayan (base 20)
𝋱·𝋥·𝋮·𝋬
Chinese
一十三萬八千二百九十二
Chinese (financial)
壹拾參萬捌仟貳佰玖拾貳
In other modern scripts
Eastern Arabic ١٣٨٢٩٢ Devanagari १३८२९२ Bengali ১৩৮২৯২ Tamil ௧௩௮௨௯௨ Thai ๑๓๘๒๙๒ Tibetan ༡༣༨༢༩༢ Khmer ១៣៨២៩២ Lao ໑໓໘໒໙໒ Burmese ၁၃၈၂၉၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138292, here are decompositions:

  • 3 + 138289 = 138292
  • 41 + 138251 = 138292
  • 53 + 138239 = 138292
  • 83 + 138209 = 138292
  • 101 + 138191 = 138292
  • 113 + 138179 = 138292
  • 149 + 138143 = 138292
  • 179 + 138113 = 138292

Showing the first eight; more decompositions exist.

Unicode codepoint
𡰴
CJK Unified Ideograph-21C34
U+21C34
Other letter (Lo)

UTF-8 encoding: F0 A1 B0 B4 (4 bytes).

Hex color
#021C34
RGB(2, 28, 52)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.28.52.

Address
0.2.28.52
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.28.52

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 138,292 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