Live analysis

113,424

113,424 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.).

113,424 (one hundred thirteen thousand four hundred twenty-four) is an even 6-digit number. It is a composite number with 40 divisors, and factors as 2⁴ × 3 × 17 × 139. Its proper divisors sum to 199,056, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB10.

Abundant Number Arithmetic Number Evil Number Practical Number Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ☆ ☆ ☆

4 notable facts · grade D

113,412 113,413 113,414 113,415 113,416 113,417 113,418 113,419 113,420 113,421 113,422 113,423 113,424 113,425 113,426 113,427 113,428 113,429 113,430 113,431 113,432 113,433 113,434 113,435 113,436

less more

Properties

Parity: Even
Digit count: 6
Digit sum: 15
Digit product: 96
Digital root: 6
Palindrome: No
Bit width: 17 bits
Reversed: 424,311
Recamán's sequence: a(53,531) = 113,424
Square (n²): 12,865,003,776
Cube (n³): 1,459,200,188,289,024
Divisor count: 40
σ(n) — sum of divisors: 312,480
φ(n) — Euler's totient: 35,328
Sum of prime factors: 167

Primality

Prime factorization: 2 ⁴ × 3 × 17 × 139

Nearest primes: 113,417 (−7) · 113,437 (+13)

Divisors & multiples

All divisors (40)

1 · 2 · 3 · 4 · 6 · 8 · 12 · 16 · 17 · 24 · 34 · 48 · 51 · 68 · 102 · 136 · 139 · 204 · 272 · 278 · 408 · 417 · 556 · 816 · 834 · 1112 · 1668 · 2224 · 2363 · 3336 · 4726 · 6672 · 7089 · 9452 · 14178 · 18904 · 28356 · 37808 · 56712 (half) · 113424

Aliquot sum (sum of proper divisors): 199,056

Factor pairs (a × b = 113,424)

1 × 113424

2 × 56712

3 × 37808

4 × 28356

6 × 18904

8 × 14178

12 × 9452

16 × 7089

17 × 6672

24 × 4726

34 × 3336

48 × 2363

51 × 2224

68 × 1668

102 × 1112

136 × 834

139 × 816

204 × 556

272 × 417

278 × 408

First multiples

113,424 · 226,848 (double) · 340,272 · 453,696 · 567,120 · 680,544 · 793,968 · 907,392 · 1,020,816 · 1,134,240

Sums & aliquot sequence

As consecutive integers: 37,807 + 37,808 + 37,809 6,664 + 6,665 + … + 6,680 3,529 + 3,530 + … + 3,560 2,199 + 2,200 + … + 2,249

Aliquot sequence: 113,424 → 199,056 → 425,904 → 734,736 → 1,163,456 → 1,579,744 → 1,530,440 → 1,913,140 → 2,280,140 → 2,543,140 → 2,797,496 → 3,011,944 → 3,070,076 → 2,314,996 → 1,912,556 → 1,434,424 → 1,396,976 — unresolved within range

Continued fraction of √n

√113,424 = [336; (1, 3, 1, 1, 1, 4, 1, 12, 7, 1, 1, 1, 44, 3, 1, 26, 5, 4, 2, 4, 5, 26, 1, 3, …)]

Period length 38 — the block in parentheses repeats forever.

Representations

In words: one hundred thirteen thousand four hundred twenty-four
Ordinal: 113424th
Binary: 11011101100010000
Octal: 335420
Hexadecimal: 0x1BB10
Base64: AbsQ
One's complement: 4,294,853,871 (32-bit)
Scientific notation: 1.13424 × 10⁵
As a duration: 113,424 s = 1 day, 7 hours, 30 minutes, 24 seconds

In other bases

ternary (3) 12202120220

quaternary (4) 123230100

quinary (5) 12112144

senary (6) 2233040

septenary (7) 651453

nonary (9) 182526

undecimal (11) 78243

duodecimal (12) 55780

tridecimal (13) 3c81c

tetradecimal (14) 2d49a

pentadecimal (15) 23919

As an angle

113,424° = 315 × 360° + 24°

24° ≈ 0.419 rad

Compass bearing: NNE (north-northeast)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριγυκδʹ
Mayan (base 20): 𝋮·𝋣·𝋫·𝋤
Chinese: 一十一萬三千四百二十四
Chinese (financial): 壹拾壹萬參仟肆佰貳拾肆

In other modern scripts

Eastern Arabic ١١٣٤٢٤ Devanagari ११३४२४ Bengali ১১৩৪২৪ Tamil ௧௧௩௪௨௪ Thai ๑๑๓๔๒๔ Tibetan ༡༡༣༤༢༤ Khmer ១១៣៤២៤ Lao ໑໑໓໔໒໔ Burmese ၁၁၃၄၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113424, here are decompositions:

7 + 113417 = 113424
41 + 113383 = 113424
43 + 113381 = 113424
53 + 113371 = 113424
61 + 113363 = 113424
67 + 113357 = 113424
83 + 113341 = 113424
97 + 113327 = 113424

Showing the first eight; more decompositions exist.

Hex color

#01BB10

RGB(1, 187, 16)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.16.

Address: 0.1.187.16
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.187.16

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 113,424 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 US113,424 on Google Patents ↗ Look up on USPTO ↗