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104,112

104,112 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.).

104,112 (one hundred four thousand one hundred twelve) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3³ × 241. Its proper divisors sum to 195,968, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x196B0.

Abundant Number Arithmetic Number Evil Number Gapful Number Happy Number Harshad / Niven Practical Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
9
Digit product
0
Digital root
9
Palindrome
No
Bit width
17 bits
Reversed
211,401
Recamán's sequence
a(93,879) = 104,112
Square (n²)
10,839,308,544
Cube (n³)
1,128,502,091,132,928
Divisor count
40
σ(n) — sum of divisors
300,080
φ(n) — Euler's totient
34,560
Sum of prime factors
258

Primality

Prime factorization: 2 4 × 3 3 × 241

Nearest primes: 104,107 (−5) · 104,113 (+1)

Divisors & multiples

All divisors (40)
1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 16 · 18 · 24 · 27 · 36 · 48 · 54 · 72 · 108 · 144 · 216 · 241 · 432 · 482 · 723 · 964 · 1446 · 1928 · 2169 · 2892 · 3856 · 4338 · 5784 · 6507 · 8676 · 11568 · 13014 · 17352 · 26028 · 34704 · 52056 (half) · 104112
Aliquot sum (sum of proper divisors): 195,968
Factor pairs (a × b = 104,112)
1 × 104112
2 × 52056
3 × 34704
4 × 26028
6 × 17352
8 × 13014
9 × 11568
12 × 8676
16 × 6507
18 × 5784
24 × 4338
27 × 3856
36 × 2892
48 × 2169
54 × 1928
72 × 1446
108 × 964
144 × 723
216 × 482
241 × 432
First multiples
104,112 · 208,224 (double) · 312,336 · 416,448 · 520,560 · 624,672 · 728,784 · 832,896 · 937,008 · 1,041,120

Sums & aliquot sequence

As consecutive integers: 34,703 + 34,704 + 34,705 11,564 + 11,565 + … + 11,572 3,843 + 3,844 + … + 3,869 3,238 + 3,239 + … + 3,269
Aliquot sequence: 104,112 195,968 194,692 146,026 73,016 63,904 61,970 49,594 25,754 13,606 6,806 3,778 1,892 1,804 1,724 1,300 1,738 — unresolved within range

Continued fraction of √n

√104,112 = [322; (1, 1, 1, 39, 1, 1, 1, 644)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words
one hundred four thousand one hundred twelve
Ordinal
104112th
Binary
11001011010110000
Octal
313260
Hexadecimal
0x196B0
Base64
AZaw
One's complement
4,294,863,183 (32-bit)
Scientific notation
1.04112 × 10⁵
As a duration
104,112 s = 1 day, 4 hours, 55 minutes, 12 seconds
In other bases
ternary (3) 12021211000
quaternary (4) 121122300
quinary (5) 11312422
senary (6) 2122000
septenary (7) 612351
nonary (9) 167730
undecimal (11) 71248
duodecimal (12) 50300
tridecimal (13) 38508
tetradecimal (14) 29d28
pentadecimal (15) 20cac

As an angle

104,112° = 289 × 360° + 72°
72° ≈ 1.257 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓆼𓆼𓆼𓆼𓍢𓎆𓏺𓏺
Greek (Milesian)
͵ρδριβʹ
Mayan (base 20)
𝋭·𝋠·𝋥·𝋬
Chinese
一十萬四千一百一十二
Chinese (financial)
壹拾萬肆仟壹佰壹拾貳
In other modern scripts
Eastern Arabic ١٠٤١١٢ Devanagari १०४११२ Bengali ১০৪১১২ Tamil ௧௦௪௧௧௨ Thai ๑๐๔๑๑๒ Tibetan ༡༠༤༡༡༢ Khmer ១០៤១១២ Lao ໑໐໔໑໑໒ Burmese ၁၀၄၁၁၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 104112, here are decompositions:

  • 5 + 104107 = 104112
  • 23 + 104089 = 104112
  • 53 + 104059 = 104112
  • 59 + 104053 = 104112
  • 79 + 104033 = 104112
  • 103 + 104009 = 104112
  • 109 + 104003 = 104112
  • 131 + 103981 = 104112

Showing the first eight; more decompositions exist.

Hex color
#0196B0
RGB(1, 150, 176)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.150.176.

Address
0.1.150.176
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.150.176

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 104,112 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 104112 first appears in π at position 786,743 of the decimal expansion (the 786,743ordinal-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

  • Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.