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138,110

138,110 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.).

138,110 (one hundred thirty-eight thousand one hundred ten) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2 × 5 × 7 × 1,973. Its proper divisors sum to 146,146, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x21B7E.

Abundant Number Arithmetic Number Cube-Free Gapful Number Harshad / Niven Odious Number Pernicious Number Recamán's Sequence Squarefree Weird Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
18 bits
Reversed
11,831
Recamán's sequence
a(492,607) = 138,110
Square (n²)
19,074,372,100
Cube (n³)
2,634,361,530,731,000
Divisor count
16
σ(n) — sum of divisors
284,256
φ(n) — Euler's totient
47,328
Sum of prime factors
1,987

Primality

Prime factorization: 2 × 5 × 7 × 1973

Nearest primes: 138,107 (−3) · 138,113 (+3)

Divisors & multiples

All divisors (16)
1 · 2 · 5 · 7 · 10 · 14 · 35 · 70 · 1973 · 3946 · 9865 · 13811 · 19730 · 27622 · 69055 (half) · 138110
Aliquot sum (sum of proper divisors): 146,146
Factor pairs (a × b = 138,110)
1 × 138110
2 × 69055
5 × 27622
7 × 19730
10 × 13811
14 × 9865
35 × 3946
70 × 1973
First multiples
138,110 · 276,220 (double) · 414,330 · 552,440 · 690,550 · 828,660 · 966,770 · 1,104,880 · 1,242,990 · 1,381,100

Sums & aliquot sequence

As consecutive integers: 34,526 + 34,527 + 34,528 + 34,529 27,620 + 27,621 + 27,622 + 27,623 + 27,624 19,727 + 19,728 + … + 19,733 6,896 + 6,897 + … + 6,915
Aliquot sequence: 138,110 146,146 152,222 113,890 120,542 60,274 30,140 39,412 31,148 27,652 22,524 30,060 61,668 98,492 73,876 75,308 58,924 — unresolved within range

Continued fraction of √n

√138,110 = [371; (1, 1, 1, 2, 2, 67, 6, 1, 2, 1, 7, 6, 74, 6, 7, 1, 2, 1, 6, 67, 2, 2, 1, 1, …)]

Period length 26 — the block in parentheses repeats forever.

Representations

In words
one hundred thirty-eight thousand one hundred ten
Ordinal
138110th
Binary
100001101101111110
Octal
415576
Hexadecimal
0x21B7E
Base64
Aht+
One's complement
4,294,829,185 (32-bit)
Scientific notation
1.3811 × 10⁵
As a duration
138,110 s = 1 day, 14 hours, 21 minutes, 50 seconds
In other bases
ternary (3) 21000110012
quaternary (4) 201231332
quinary (5) 13404420
senary (6) 2543222
septenary (7) 1113440
nonary (9) 230405
undecimal (11) 94845
duodecimal (12) 67b12
tridecimal (13) 4ab2b
tetradecimal (14) 38490
pentadecimal (15) 2adc5

As an angle

138,110° = 383 × 360° + 230°
230° ≈ 4.014 rad
Compass bearing: SW (southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹 𒌋𒌋𒌋𒌋𒌋
Egyptian hieroglyphic
𓆐𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆
Greek (Milesian)
͵ρληριʹ
Mayan (base 20)
𝋱·𝋥·𝋥·𝋪
Chinese
一十三萬八千一百一十
Chinese (financial)
壹拾參萬捌仟壹佰壹拾
In other modern scripts
Eastern Arabic ١٣٨١١٠ Devanagari १३८११० Bengali ১৩৮১১০ Tamil ௧௩௮௧௧௦ Thai ๑๓๘๑๑๐ Tibetan ༡༣༨༡༡༠ Khmer ១៣៨១១០ Lao ໑໓໘໑໑໐ Burmese ၁၃၈၁၁၀

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 138110, here are decompositions:

  • 3 + 138107 = 138110
  • 31 + 138079 = 138110
  • 103 + 138007 = 138110
  • 127 + 137983 = 138110
  • 163 + 137947 = 138110
  • 199 + 137911 = 138110
  • 241 + 137869 = 138110
  • 283 + 137827 = 138110

Showing the first eight; more decompositions exist.

Unicode codepoint
𡭾
CJK Unified Ideograph-21B7E
U+21B7E
Other letter (Lo)

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

Hex color
#021B7E
RGB(2, 27, 126)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.2.27.126.

Address
0.2.27.126
Class
reserved
IPv4-mapped IPv6
::ffff:0.2.27.126

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 138,110 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 138110 first appears in π at position 422,123 of the decimal expansion (the 422,123ordinal-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.