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112,406

112,406 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.).

112,406 (one hundred twelve thousand four hundred six) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2 × 7² × 31 × 37. Written other ways, in hexadecimal, 0x1B716.

Arithmetic Number Cube-Free Deficient Number Evil Number Harshad / Niven Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
14
Digit product
0
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
604,211
Recamán's sequence
a(246,728) = 112,406
Square (n²)
12,635,108,836
Cube (n³)
1,420,262,043,819,416
Divisor count
24
σ(n) — sum of divisors
207,936
φ(n) — Euler's totient
45,360
Sum of prime factors
84

Primality

Prime factorization: 2 × 7 2 × 31 × 37

Nearest primes: 112,403 (−3) · 112,429 (+23)

Divisors & multiples

All divisors (24)
1 · 2 · 7 · 14 · 31 · 37 · 49 · 62 · 74 · 98 · 217 · 259 · 434 · 518 · 1147 · 1519 · 1813 · 2294 · 3038 · 3626 · 8029 · 16058 · 56203 (half) · 112406
Aliquot sum (sum of proper divisors): 95,530
Factor pairs (a × b = 112,406)
1 × 112406
2 × 56203
7 × 16058
14 × 8029
31 × 3626
37 × 3038
49 × 2294
62 × 1813
74 × 1519
98 × 1147
217 × 518
259 × 434
First multiples
112,406 · 224,812 (double) · 337,218 · 449,624 · 562,030 · 674,436 · 786,842 · 899,248 · 1,011,654 · 1,124,060

Sums & aliquot sequence

As consecutive integers: 28,100 + 28,101 + 28,102 + 28,103 16,055 + 16,056 + … + 16,061 4,001 + 4,002 + … + 4,028 3,611 + 3,612 + … + 3,641
Aliquot sequence: 112,406 95,530 81,374 52,546 36,158 18,922 9,464 12,496 14,288 15,472 14,536 14,264 12,496 — enters a cycle

Continued fraction of √n

√112,406 = [335; (3, 1, 2, 2, 1, 2, 2, 9, 1, 1, 2, 2, 2, 13, 3, 1, 2, 3, 1, 26, 19, 1, 2, 5, …)]

Period length 52 — the block in parentheses repeats forever.

Representations

In words
one hundred twelve thousand four hundred six
Ordinal
112406th
Binary
11011011100010110
Octal
333426
Hexadecimal
0x1B716
Base64
AbcW
One's complement
4,294,854,889 (32-bit)
Scientific notation
1.12406 × 10⁵
As a duration
112,406 s = 1 day, 7 hours, 13 minutes, 26 seconds
In other bases
ternary (3) 12201012012
quaternary (4) 123130112
quinary (5) 12044111
senary (6) 2224222
septenary (7) 645500
nonary (9) 181165
undecimal (11) 774a8
duodecimal (12) 55072
tridecimal (13) 3c218
tetradecimal (14) 2cd70
pentadecimal (15) 2348b
Palindromic in base 6

As an angle

112,406° = 312 × 360° + 86°
86° ≈ 1.501 rad
Compass bearing: E (east)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβυϛʹ
Mayan (base 20)
𝋮·𝋡·𝋠·𝋦
Chinese
一十一萬二千四百零六
Chinese (financial)
壹拾壹萬貳仟肆佰零陸
In other modern scripts
Eastern Arabic ١١٢٤٠٦ Devanagari ११२४०६ Bengali ১১২৪০৬ Tamil ௧௧௨௪௦௬ Thai ๑๑๒๔๐๖ Tibetan ༡༡༢༤༠༦ Khmer ១១២៤០៦ Lao ໑໑໒໔໐໖ Burmese ၁၁၂၄၀၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112406, here are decompositions:

  • 3 + 112403 = 112406
  • 43 + 112363 = 112406
  • 67 + 112339 = 112406
  • 79 + 112327 = 112406
  • 103 + 112303 = 112406
  • 109 + 112297 = 112406
  • 127 + 112279 = 112406
  • 157 + 112249 = 112406

Showing the first eight; more decompositions exist.

Hex color
#01B716
RGB(1, 183, 22)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.183.22.

Address
0.1.183.22
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.183.22

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 112,406 and was likely granted around 1871.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.