Live analysis

112,824

112,824 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.).

112,824 (one hundred twelve thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2³ × 3² × 1,567. Its proper divisors sum to 192,936, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B8B8.

Abundant Number Arithmetic Number Harshad / Niven Odious Number Recamán's Sequence Refactorable Number Semiperfect Number

Interestingness

★ ★ ★ ☆ ☆

5 notable facts · grade C

112,812 112,813 112,814 112,815 112,816 112,817 112,818 112,819 112,820 112,821 112,822 112,823 112,824 112,825 112,826 112,827 112,828 112,829 112,830 112,831 112,832 112,833 112,834 112,835 112,836

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Properties

Parity: Even
Digit count: 6
Digit sum: 18
Digit product: 128
Digital root: 9
Palindrome: No
Bit width: 17 bits
Reversed: 428,211
Recamán's sequence: a(52,679) = 112,824
Square (n²): 12,729,254,976
Cube (n³): 1,436,165,463,412,224
Divisor count: 24
σ(n) — sum of divisors: 305,760
φ(n) — Euler's totient: 37,584
Sum of prime factors: 1,579

Primality

Prime factorization: 2 ³ × 3 ² × 1567

Nearest primes: 112,807 (−17) · 112,831 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 8 · 9 · 12 · 18 · 24 · 36 · 72 · 1567 · 3134 · 4701 · 6268 · 9402 · 12536 · 14103 · 18804 · 28206 · 37608 · 56412 (half) · 112824

Aliquot sum (sum of proper divisors): 192,936

Factor pairs (a × b = 112,824)

1 × 112824

2 × 56412

3 × 37608

4 × 28206

6 × 18804

8 × 14103

9 × 12536

12 × 9402

18 × 6268

24 × 4701

36 × 3134

72 × 1567

First multiples

112,824 · 225,648 (double) · 338,472 · 451,296 · 564,120 · 676,944 · 789,768 · 902,592 · 1,015,416 · 1,128,240

Sums & aliquot sequence

As consecutive integers: 37,607 + 37,608 + 37,609 12,532 + 12,533 + … + 12,540 7,044 + 7,045 + … + 7,059 2,327 + 2,328 + … + 2,374

Aliquot sequence: 112,824 → 192,936 → 289,464 → 538,056 → 1,017,144 → 1,985,256 → 4,869,144 → 10,203,576 → 15,305,424 → 24,233,712 → 38,608,992 → 71,186,148 → 130,151,772 → 212,941,524 → 313,149,804 → 483,959,124 → 904,280,652 — unresolved within range

Continued fraction of √n

√112,824 = [335; (1, 8, 3, 74, 3, 8, 1, 670)]

Period length 8 — the block in parentheses repeats forever.

Representations

In words: one hundred twelve thousand eight hundred twenty-four
Ordinal: 112824th
Binary: 11011100010111000
Octal: 334270
Hexadecimal: 0x1B8B8
Base64: Abi4
One's complement: 4,294,854,471 (32-bit)
Scientific notation: 1.12824 × 10⁵
As a duration: 112,824 s = 1 day, 7 hours, 20 minutes, 24 seconds

In other bases

ternary (3) 12201202200

quaternary (4) 123202320

quinary (5) 12102244

senary (6) 2230200

septenary (7) 646635

nonary (9) 181680

undecimal (11) 77848

duodecimal (12) 55360

tridecimal (13) 3c47a

tetradecimal (14) 2d18c

pentadecimal (15) 23669

As an angle

112,824° = 313 × 360° + 144°

144° ≈ 2.513 rad

Compass bearing: SE (southeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριβωκδʹ
Mayan (base 20): 𝋮·𝋢·𝋡·𝋤
Chinese: 一十一萬二千八百二十四
Chinese (financial): 壹拾壹萬貳仟捌佰貳拾肆

In other modern scripts

Eastern Arabic ١١٢٨٢٤ Devanagari ११२८२४ Bengali ১১২৮২৪ Tamil ௧௧௨௮௨௪ Thai ๑๑๒๘๒๔ Tibetan ༡༡༢༨༢༤ Khmer ១១២៨២៤ Lao ໑໑໒໘໒໔ Burmese ၁၁၂၈၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 112824, here are decompositions:

17 + 112807 = 112824
37 + 112787 = 112824
53 + 112771 = 112824
67 + 112757 = 112824
83 + 112741 = 112824
137 + 112687 = 112824
167 + 112657 = 112824
181 + 112643 = 112824

Showing the first eight; more decompositions exist.

Hex color

#01B8B8

RGB(1, 184, 184)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.184.184.

Address: 0.1.184.184
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.184.184

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 112,824 and was likely granted around 1871.

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

Look up US112,824 on Google Patents ↗ Look up on USPTO ↗