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112,096

112,096 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.).

112,096 (one hundred twelve thousand ninety-six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2⁵ × 31 × 113. Its proper divisors sum to 117,728, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B5E0.

Abundant Number Arithmetic Number Gapful Number Odious Number Practical Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
0
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
690,211
Recamán's sequence
a(247,108) = 112,096
Square (n²)
12,565,513,216
Cube (n³)
1,408,543,769,460,736
Divisor count
24
σ(n) — sum of divisors
229,824
φ(n) — Euler's totient
53,760
Sum of prime factors
154

Primality

Prime factorization: 2 5 × 31 × 113

Nearest primes: 112,087 (−9) · 112,097 (+1)

Divisors & multiples

All divisors (24)
1 · 2 · 4 · 8 · 16 · 31 · 32 · 62 · 113 · 124 · 226 · 248 · 452 · 496 · 904 · 992 · 1808 · 3503 · 3616 · 7006 · 14012 · 28024 · 56048 (half) · 112096
Aliquot sum (sum of proper divisors): 117,728
Factor pairs (a × b = 112,096)
1 × 112096
2 × 56048
4 × 28024
8 × 14012
16 × 7006
31 × 3616
32 × 3503
62 × 1808
113 × 992
124 × 904
226 × 496
248 × 452
First multiples
112,096 · 224,192 (double) · 336,288 · 448,384 · 560,480 · 672,576 · 784,672 · 896,768 · 1,008,864 · 1,120,960

Sums & aliquot sequence

As consecutive integers: 3,601 + 3,602 + … + 3,631 1,720 + 1,721 + … + 1,783 936 + 937 + … + 1,048
Aliquot sequence: 112,096 117,728 132,760 166,040 261,640 348,920 588,520 735,740 809,356 607,024 676,376 614,224 667,812 1,045,788 1,394,412 1,859,244 2,479,020 — unresolved within range

Continued fraction of √n

√112,096 = [334; (1, 4, 5, 4, 1, 668)]

Period length 6 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand ninety-six
Ordinal
112096th
Binary
11011010111100000
Octal
332740
Hexadecimal
0x1B5E0
Base64
AbXg
One's complement
4,294,855,199 (32-bit)
Scientific notation
1.12096 × 10⁵
As a duration
112,096 s = 1 day, 7 hours, 8 minutes, 16 seconds
In other bases
ternary (3) 12200202201
quaternary (4) 123113200
quinary (5) 12041341
senary (6) 2222544
septenary (7) 644545
nonary (9) 180681
undecimal (11) 77246
duodecimal (12) 54a54
tridecimal (13) 3c03a
tetradecimal (14) 2cbcc
pentadecimal (15) 23331

As an angle

112,096° = 311 × 360° + 136°
136° ≈ 2.374 rad
Compass bearing: SE (southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβϟϛʹ
Mayan (base 20)
𝋮·𝋠·𝋤·𝋰
Chinese
一十一萬二千零九十六
Chinese (financial)
壹拾壹萬貳仟零玖拾陸
In other modern scripts
Eastern Arabic ١١٢٠٩٦ Devanagari ११२०९६ Bengali ১১২০৯৬ Tamil ௧௧௨௦௯௬ Thai ๑๑๒๐๙๖ Tibetan ༡༡༢༠༩༦ Khmer ១១២០៩៦ Lao ໑໑໒໐໙໖ Burmese ၁၁၂၀၉၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112096, here are decompositions:

  • 29 + 112067 = 112096
  • 137 + 111959 = 112096
  • 227 + 111869 = 112096
  • 233 + 111863 = 112096
  • 239 + 111857 = 112096
  • 263 + 111833 = 112096
  • 269 + 111827 = 112096
  • 317 + 111779 = 112096

Showing the first eight; more decompositions exist.

Hex color
#01B5E0
RGB(1, 181, 224)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.181.224.

Address
0.1.181.224
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.181.224

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 112,096 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 112096 first appears in π at position 556,006 of the decimal expansion (the 556,006ordinal-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