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112,984

112,984 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.).

112,984 (one hundred twelve thousand nine hundred eighty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 29 × 487. Written other ways, in hexadecimal, 0x1B958.

Arithmetic Number Deficient Number Happy Number Odious Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
25
Digit product
576
Digital root
7
Palindrome
No
Bit width
17 bits
Reversed
489,211
Square (n²)
12,765,384,256
Cube (n³)
1,442,284,174,779,904
Divisor count
16
σ(n) — sum of divisors
219,600
φ(n) — Euler's totient
54,432
Sum of prime factors
522

Primality

Prime factorization: 2 3 × 29 × 487

Nearest primes: 112,979 (−5) · 112,997 (+13)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 29 · 58 · 116 · 232 · 487 · 974 · 1948 · 3896 · 14123 · 28246 · 56492 (half) · 112984
Aliquot sum (sum of proper divisors): 106,616
Factor pairs (a × b = 112,984)
1 × 112984
2 × 56492
4 × 28246
8 × 14123
29 × 3896
58 × 1948
116 × 974
232 × 487
First multiples
112,984 · 225,968 (double) · 338,952 · 451,936 · 564,920 · 677,904 · 790,888 · 903,872 · 1,016,856 · 1,129,840

Sums & aliquot sequence

As consecutive integers: 7,054 + 7,055 + … + 7,069 3,882 + 3,883 + … + 3,910 12 + 13 + … + 475
Aliquot sequence: 112,984 106,616 93,304 84,896 106,624 155,006 99,010 79,226 56,614 28,310 25,690 27,302 20,650 23,990 19,210 17,726 8,866 — unresolved within range

Continued fraction of √n

√112,984 = [336; (7, 1, 1, 1, 3, 5, 3, 1, 1, 5, 29, 20, 2, 1, 27, 2, 1, 19, 1, 2, 2, 1, 9, 1, …)]

Representations

In words
one hundred twelve thousand nine hundred eighty-four
Ordinal
112984th
Binary
11011100101011000
Octal
334530
Hexadecimal
0x1B958
Base64
AblY
One's complement
4,294,854,311 (32-bit)
Scientific notation
1.12984 × 10⁵
As a duration
112,984 s = 1 day, 7 hours, 23 minutes, 4 seconds
In other bases
ternary (3) 12201222121
quaternary (4) 123211120
quinary (5) 12103414
senary (6) 2231024
septenary (7) 650254
nonary (9) 181877
undecimal (11) 77983
duodecimal (12) 55474
tridecimal (13) 3c571
tetradecimal (14) 2d264
pentadecimal (15) 23724

As an angle

112,984° = 313 × 360° + 304°
304° ≈ 5.306 rad
Compass bearing: NW (northwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριβϡπδʹ
Mayan (base 20)
𝋮·𝋢·𝋩·𝋤
Chinese
一十一萬二千九百八十四
Chinese (financial)
壹拾壹萬貳仟玖佰捌拾肆
In other modern scripts
Eastern Arabic ١١٢٩٨٤ Devanagari ११२९८४ Bengali ১১২৯৮৪ Tamil ௧௧௨௯௮௪ Thai ๑๑๒๙๘๔ Tibetan ༡༡༢༩༨༤ Khmer ១១២៩៨៤ Lao ໑໑໒໙໘໔ Burmese ၁၁၂၉၈၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112984, here are decompositions:

  • 5 + 112979 = 112984
  • 17 + 112967 = 112984
  • 71 + 112913 = 112984
  • 83 + 112901 = 112984
  • 107 + 112877 = 112984
  • 197 + 112787 = 112984
  • 227 + 112757 = 112984
  • 293 + 112691 = 112984

Showing the first eight; more decompositions exist.

Hex color
#01B958
RGB(1, 185, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.88.

Address
0.1.185.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.185.88

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 112,984 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