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104,072

104,072 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.).

104,072 (one hundred four thousand seventy-two) is an even 6-digit number. It is a composite number with 8 divisors, and factors as 2³ × 13,009. Written other ways, in hexadecimal, 0x19688.

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

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
270,401
Recamán's sequence
a(93,959) = 104,072
Square (n²)
10,830,981,184
Cube (n³)
1,127,201,873,781,248
Divisor count
8
σ(n) — sum of divisors
195,150
φ(n) — Euler's totient
52,032
Sum of prime factors
13,015

Primality

Prime factorization: 2 3 × 13009

Nearest primes: 104,059 (−13) · 104,087 (+15)

Divisors & multiples

All divisors (8)
1 · 2 · 4 · 8 · 13009 · 26018 · 52036 (half) · 104072
Aliquot sum (sum of proper divisors): 91,078
Factor pairs (a × b = 104,072)
1 × 104072
2 × 52036
4 × 26018
8 × 13009
First multiples
104,072 · 208,144 (double) · 312,216 · 416,288 · 520,360 · 624,432 · 728,504 · 832,576 · 936,648 · 1,040,720

Sums & aliquot sequence

As a sum of two squares: 74² + 314²
As consecutive integers: 6,497 + 6,498 + … + 6,512
Aliquot sequence: 104,072 91,078 62,138 31,072 30,164 22,630 19,994 12,346 6,176 6,046 3,026 1,834 1,334 826 614 310 266 — unresolved within range

Continued fraction of √n

√104,072 = [322; (1, 1, 1, 1, 20, 4, 1, 2, 3, 1, 1, 37, 2, 1, 1, 2, 1, 4, 1, 79, 1, 4, 1, 2, …)]

Period length 40 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand seventy-two
Ordinal
104072nd
Binary
11001011010001000
Octal
313210
Hexadecimal
0x19688
Base64
AZaI
One's complement
4,294,863,223 (32-bit)
Scientific notation
1.04072 × 10⁵
As a duration
104,072 s = 1 day, 4 hours, 54 minutes, 32 seconds
In other bases
ternary (3) 12021202112
quaternary (4) 121122020
quinary (5) 11312242
senary (6) 2121452
septenary (7) 612263
nonary (9) 167675
undecimal (11) 71211
duodecimal (12) 50288
tridecimal (13) 384a7
tetradecimal (14) 29cda
pentadecimal (15) 20c82

As an angle

104,072° = 289 × 360° + 32°
32° ≈ 0.559 rad
Compass bearing: NNE (north-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ρδοβʹ
Mayan (base 20)
𝋭·𝋠·𝋣·𝋬
Chinese
一十萬四千零七十二
Chinese (financial)
壹拾萬肆仟零柒拾貳
In other modern scripts
Eastern Arabic ١٠٤٠٧٢ Devanagari १०४०७२ Bengali ১০৪০৭২ Tamil ௧௦௪௦௭௨ Thai ๑๐๔๐๗๒ Tibetan ༡༠༤༠༧༢ Khmer ១០៤០៧២ Lao ໑໐໔໐໗໒ Burmese ၁၀၄၀၇၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104072, here are decompositions:

  • 13 + 104059 = 104072
  • 19 + 104053 = 104072
  • 79 + 103993 = 104072
  • 103 + 103969 = 104072
  • 109 + 103963 = 104072
  • 229 + 103843 = 104072
  • 271 + 103801 = 104072
  • 349 + 103723 = 104072

Showing the first eight; more decompositions exist.

Hex color
#019688
RGB(1, 150, 136)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.136.

Address
0.1.150.136
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.136

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 104,072 and was likely granted around 1870.

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

Position in π

The digit sequence 104072 first appears in π at position 382,899 of the decimal expansion (the 382,899ordinal-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.