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138,050

138,050 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.).

138,050 (one hundred thirty-eight thousand fifty) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 5² × 11 × 251. Its proper divisors sum to 143,182, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B42.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
17
Digit product
0
Digital root
8
Palindrome
No
Bit width
18 bits
Reversed
50,831
Recamán's sequence
a(492,727) = 138,050
Square (n²)
19,057,802,500
Cube (n³)
2,630,929,635,125,000
Divisor count
24
σ(n) — sum of divisors
281,232
φ(n) — Euler's totient
50,000
Sum of prime factors
274

Primality

Prime factorization: 2 × 5 2 × 11 × 251

Nearest primes: 138,041 (−9) · 138,053 (+3)

Divisors & multiples

All divisors (24)
1 · 2 · 5 · 10 · 11 · 22 · 25 · 50 · 55 · 110 · 251 · 275 · 502 · 550 · 1255 · 2510 · 2761 · 5522 · 6275 · 12550 · 13805 · 27610 · 69025 (half) · 138050
Aliquot sum (sum of proper divisors): 143,182
Factor pairs (a × b = 138,050)
1 × 138050
2 × 69025
5 × 27610
10 × 13805
11 × 12550
22 × 6275
25 × 5522
50 × 2761
55 × 2510
110 × 1255
251 × 550
275 × 502
First multiples
138,050 · 276,100 (double) · 414,150 · 552,200 · 690,250 · 828,300 · 966,350 · 1,104,400 · 1,242,450 · 1,380,500

Sums & aliquot sequence

As consecutive integers: 34,511 + 34,512 + 34,513 + 34,514 27,608 + 27,609 + 27,610 + 27,611 + 27,612 12,545 + 12,546 + … + 12,555 6,893 + 6,894 + … + 6,912
Aliquot sequence: 138,050 143,182 88,154 56,134 40,634 25,894 17,198 8,602 6,950 6,070 4,874 2,440 3,140 3,496 3,704 3,256 3,584 — unresolved within range

Continued fraction of √n

√138,050 = [371; (1, 1, 4, 2, 2, 1, 1, 1, 14, 4, 3, 23, 1, 1, 1, 29, 16, 8, 3, 2, 14, 2, 3, 8, …)]

Period length 42 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand fifty
Ordinal
138050th
Binary
100001101101000010
Octal
415502
Hexadecimal
0x21B42
Base64
AhtC
One's complement
4,294,829,245 (32-bit)
Scientific notation
1.3805 × 10⁵
As a duration
138,050 s = 1 day, 14 hours, 20 minutes, 50 seconds
In other bases
ternary (3) 21000100222
quaternary (4) 201231002
quinary (5) 13404200
senary (6) 2543042
septenary (7) 1113323
nonary (9) 230328
undecimal (11) 947a0
duodecimal (12) 67a82
tridecimal (13) 4aab3
tetradecimal (14) 3844a
pentadecimal (15) 2ad85

As an angle

138,050° = 383 × 360° + 170°
170° ≈ 2.967 rad
Compass bearing: S (south)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆
Greek (Milesian)
͵ρληνʹ
Mayan (base 20)
𝋱·𝋥·𝋢·𝋪
Chinese
一十三萬八千零五十
Chinese (financial)
壹拾參萬捌仟零伍拾
In other modern scripts
Eastern Arabic ١٣٨٠٥٠ Devanagari १३८०५० Bengali ১৩৮০৫০ Tamil ௧௩௮௦௫௦ Thai ๑๓๘๐๕๐ Tibetan ༡༣༨༠༥༠ Khmer ១៣៨០៥០ Lao ໑໓໘໐໕໐ Burmese ၁၃၈၀၅၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138050, here are decompositions:

  • 43 + 138007 = 138050
  • 67 + 137983 = 138050
  • 103 + 137947 = 138050
  • 109 + 137941 = 138050
  • 139 + 137911 = 138050
  • 181 + 137869 = 138050
  • 223 + 137827 = 138050
  • 307 + 137743 = 138050

Showing the first eight; more decompositions exist.

Unicode codepoint
𡭂
CJK Unified Ideograph-21B42
U+21B42
Other letter (Lo)

UTF-8 encoding: F0 A1 AD 82 (4 bytes).

Hex color
#021B42
RGB(2, 27, 66)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.66.

Address
0.2.27.66
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.66

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 138,050 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

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