Live analysis

113,624

113,624 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.).

113,624 (one hundred thirteen thousand six hundred twenty-four) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 7 × 2,029. Its proper divisors sum to 129,976, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BBD8.

Abundant Number Arithmetic Number Gapful Number Odious Number Pernicious Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

113,612 113,613 113,614 113,615 113,616 113,617 113,618 113,619 113,620 113,621 113,622 113,623 113,624 113,625 113,626 113,627 113,628 113,629 113,630 113,631 113,632 113,633 113,634 113,635 113,636

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Properties

Parity: Even
Digit count: 6
Digit sum: 17
Digit product: 144
Digital root: 8
Palindrome: No
Bit width: 17 bits
Reversed: 426,311
Recamán's sequence: a(55,155) = 113,624
Square (n²): 12,910,413,376
Cube (n³): 1,466,932,809,434,624
Divisor count: 16
σ(n) — sum of divisors: 243,600
φ(n) — Euler's totient: 48,672
Sum of prime factors: 2,042

Primality

Prime factorization: 2 ³ × 7 × 2029

Nearest primes: 113,623 (−1) · 113,647 (+23)

Divisors & multiples

All divisors (16)

1 · 2 · 4 · 7 · 8 · 14 · 28 · 56 · 2029 · 4058 · 8116 · 14203 · 16232 · 28406 · 56812 (half) · 113624

Aliquot sum (sum of proper divisors): 129,976

Factor pairs (a × b = 113,624)

1 × 113624

2 × 56812

4 × 28406

7 × 16232

8 × 14203

14 × 8116

28 × 4058

56 × 2029

First multiples

113,624 · 227,248 (double) · 340,872 · 454,496 · 568,120 · 681,744 · 795,368 · 908,992 · 1,022,616 · 1,136,240

Sums & aliquot sequence

As consecutive integers: 16,229 + 16,230 + … + 16,235 7,094 + 7,095 + … + 7,109 959 + 960 + … + 1,070

Aliquot sequence: 113,624 → 129,976 → 175,304 → 172,996 → 135,144 → 231,066 → 330,534 → 404,106 → 421,878 → 421,890 → 787,710 → 1,663,746 → 2,207,694 → 2,207,706 → 2,335,494 → 3,318,522 → 3,428,070 — unresolved within range

Continued fraction of √n

√113,624 = [337; (12, 3, 1, 9, 1, 1, 1, 1, 1, 1, 4, 10, 6, 2, 4, 3, 1, 26, 4, 1, 11, 2, 5, 5, …)]

Representations

In words: one hundred thirteen thousand six hundred twenty-four
Ordinal: 113624th
Binary: 11011101111011000
Octal: 335730
Hexadecimal: 0x1BBD8
Base64: AbvY
One's complement: 4,294,853,671 (32-bit)
Scientific notation: 1.13624 × 10⁵
As a duration: 113,624 s = 1 day, 7 hours, 33 minutes, 44 seconds

In other bases

ternary (3) 12202212022

quaternary (4) 123233120

quinary (5) 12113444

senary (6) 2234012

septenary (7) 652160

nonary (9) 182768

undecimal (11) 78405

duodecimal (12) 55908

tridecimal (13) 3c944

tetradecimal (14) 2d5a0

pentadecimal (15) 239ee

As an angle

113,624° = 315 × 360° + 224°

224° ≈ 3.91 rad

Compass bearing: SW (southwest)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριγχκδʹ
Mayan (base 20): 𝋮·𝋤·𝋡·𝋤
Chinese: 一十一萬三千六百二十四
Chinese (financial): 壹拾壹萬參仟陸佰貳拾肆

In other modern scripts

Eastern Arabic ١١٣٦٢٤ Devanagari ११३६२४ Bengali ১১৩৬২৪ Tamil ௧௧௩௬௨௪ Thai ๑๑๓๖๒๔ Tibetan ༡༡༣༦༢༤ Khmer ១១៣៦២៤ Lao ໑໑໓໖໒໔ Burmese ၁၁၃၆၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113624, here are decompositions:

3 + 113621 = 113624
67 + 113557 = 113624
127 + 113497 = 113624
157 + 113467 = 113624
241 + 113383 = 113624
283 + 113341 = 113624
337 + 113287 = 113624
397 + 113227 = 113624

Showing the first eight; more decompositions exist.

Hex color

#01BBD8

RGB(1, 187, 216)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.216.

Address: 0.1.187.216
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.187.216

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 113,624 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 US113,624 on Google Patents ↗ Look up on USPTO ↗