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110,072

110,072 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.).

110,072 (one hundred ten thousand seventy-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 13,759. Written other ways, in hexadecimal, 0x1ADF8.

Arithmetic Number Deficient Number Odious Number Pernicious Number Recamán's Sequence Refactorable Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
11
Digit product
0
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
270,011
Recamán's sequence
a(249,152) = 110,072
Square (n²)
12,115,845,184
Cube (n³)
1,333,615,311,093,248
Divisor count
8
σ(n) — sum of divisors
206,400
φ(n) — Euler's totient
55,032
Sum of prime factors
13,765

Primality

Prime factorization: 2 3 × 13759

Nearest primes: 110,069 (−3) · 110,083 (+11)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 13759 · 27518 · 55036 (half) · 110072
Aliquot sum (sum of proper divisors): 96,328
Factor pairs (a × b = 110,072)
1 × 110072
2 × 55036
4 × 27518
8 × 13759
First multiples
110,072 · 220,144 (double) · 330,216 · 440,288 · 550,360 · 660,432 · 770,504 · 880,576 · 990,648 · 1,100,720

Sums & aliquot sequence

As consecutive integers: 6,872 + 6,873 + … + 6,887
Aliquot sequence: 110,072 96,328 84,302 44,410 35,546 25,414 13,394 7,354 3,680 5,392 5,086 2,546 1,534 986 634 320 442 — unresolved within range

Continued fraction of √n

√110,072 = [331; (1, 3, 2, 1, 2, 1, 1, 1, 3, 1, 5, 1, 1, 1, 12, 9, 94, 1, 2, 7, 8, 3, 1, 4, …)]

Representations

In words
one hundred ten thousand seventy-two
Ordinal
110072nd
Binary
11010110111111000
Octal
326770
Hexadecimal
0x1ADF8
Base64
Aa34
One's complement
4,294,857,223 (32-bit)
Scientific notation
1.10072 × 10⁵
As a duration
110,072 s = 1 day, 6 hours, 34 minutes, 32 seconds
In other bases
ternary (3) 12120222202
quaternary (4) 122313320
quinary (5) 12010242
senary (6) 2205332
septenary (7) 635624
nonary (9) 176882
undecimal (11) 75776
duodecimal (12) 53848
tridecimal (13) 3b141
tetradecimal (14) 2c184
pentadecimal (15) 22932

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριοβʹ
Mayan (base 20)
𝋭·𝋯·𝋣·𝋬
Chinese
一十一萬零七十二
Chinese (financial)
壹拾壹萬零柒拾貳
In other modern scripts
Eastern Arabic ١١٠٠٧٢ Devanagari ११००७२ Bengali ১১০০৭২ Tamil ௧௧௦௦௭௨ Thai ๑๑๐๐๗๒ Tibetan ༡༡༠༠༧༢ Khmer ១១០០៧២ Lao ໑໑໐໐໗໒ Burmese ၁၁၀၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 110072, here are decompositions:

  • 3 + 110069 = 110072
  • 13 + 110059 = 110072
  • 181 + 109891 = 110072
  • 199 + 109873 = 110072
  • 223 + 109849 = 110072
  • 229 + 109843 = 110072
  • 241 + 109831 = 110072
  • 283 + 109789 = 110072

Showing the first eight; more decompositions exist.

Hex color
#01ADF8
RGB(1, 173, 248)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.173.248.

Address
0.1.173.248
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.173.248

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 110,072 and was likely granted around 1871.

Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.

Position in π

The digit sequence 110072 first appears in π at position 335,992 of the decimal expansion (the 335,992ordinal-suffix:nd 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.