Live analysis

113,124

113,124 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.).

113,124 (one hundred thirteen thousand one hundred twenty-four) is an even 6-digit number. It is a composite number with 24 divisors, and factors as 2² × 3 × 11 × 857. Its proper divisors sum to 175,164, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1B9E4.

Abundant Number Arithmetic Number Cube-Free Evil Number Happy Number Harshad / Niven Recamán's Sequence Semiperfect Number

Interestingness

★ ★ ★ ★ ☆

6 notable facts · grade B

113,112 113,113 113,114 113,115 113,116 113,117 113,118 113,119 113,120 113,121 113,122 113,123 113,124 113,125 113,126 113,127 113,128 113,129 113,130 113,131 113,132 113,133 113,134 113,135 113,136

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Properties

Parity: Even
Digit count: 6
Digit sum: 12
Digit product: 24
Digital root: 3
Palindrome: No
Bit width: 17 bits
Reversed: 421,311
Recamán's sequence: a(246,328) = 113,124
Square (n²): 12,797,039,376
Cube (n³): 1,447,652,282,370,624
Divisor count: 24
σ(n) — sum of divisors: 288,288
φ(n) — Euler's totient: 34,240
Sum of prime factors: 875

Primality

Prime factorization: 2 ² × 3 × 11 × 857

Nearest primes: 113,123 (−1) · 113,131 (+7)

Divisors & multiples

All divisors (24)

1 · 2 · 3 · 4 · 6 · 11 · 12 · 22 · 33 · 44 · 66 · 132 · 857 · 1714 · 2571 · 3428 · 5142 · 9427 · 10284 · 18854 · 28281 · 37708 · 56562 (half) · 113124

Aliquot sum (sum of proper divisors): 175,164

Factor pairs (a × b = 113,124)

1 × 113124

2 × 56562

3 × 37708

4 × 28281

6 × 18854

11 × 10284

12 × 9427

22 × 5142

33 × 3428

44 × 2571

66 × 1714

132 × 857

First multiples

113,124 · 226,248 (double) · 339,372 · 452,496 · 565,620 · 678,744 · 791,868 · 904,992 · 1,018,116 · 1,131,240

Sums & aliquot sequence

As consecutive integers: 37,707 + 37,708 + 37,709 14,137 + 14,138 + … + 14,144 10,279 + 10,280 + … + 10,289 4,702 + 4,703 + … + 4,725

Aliquot sequence: 113,124 → 175,164 → 271,044 → 414,186 → 414,198 → 483,270 → 696,090 → 974,598 → 991,482 → 991,494 → 1,627,386 → 1,627,398 → 1,989,162 → 2,936,694 → 2,936,706 → 3,008,478 → 3,650,082 — unresolved within range

Continued fraction of √n

√113,124 = [336; (2, 1, 18, 1, 1, 4, 3, 1, 7, 2, 1, 13, 20, 1, 18, 3, 1, 2, 1, 26, 5, 1, 3, 5, …)]

Representations

In words: one hundred thirteen thousand one hundred twenty-four
Ordinal: 113124th
Binary: 11011100111100100
Octal: 334744
Hexadecimal: 0x1B9E4
Base64: Abnk
One's complement: 4,294,854,171 (32-bit)
Scientific notation: 1.13124 × 10⁵
As a duration: 113,124 s = 1 day, 7 hours, 25 minutes, 24 seconds

In other bases

ternary (3) 12202011210

quaternary (4) 123213210

quinary (5) 12104444

senary (6) 2231420

septenary (7) 650544

nonary (9) 182153

undecimal (11) 77aa0

duodecimal (12) 55570

tridecimal (13) 3c64b

tetradecimal (14) 2d324

pentadecimal (15) 237b9

As an angle

113,124° = 314 × 360° + 84°

84° ≈ 1.466 rad

Compass bearing: E (east)

Why does a circle have 360 degrees? →

Historical numeral systems

Babylonian (base 60): 𒌋𒌋𒌋𒁹 𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic: 𓆐𓂍𓆼𓆼𓆼𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian): ͵ριγρκδʹ
Mayan (base 20): 𝋮·𝋢·𝋰·𝋤
Chinese: 一十一萬三千一百二十四
Chinese (financial): 壹拾壹萬參仟壹佰貳拾肆

In other modern scripts

Eastern Arabic ١١٣١٢٤ Devanagari ११३१२४ Bengali ১১৩১২৪ Tamil ௧௧௩௧௨௪ Thai ๑๑๓๑๒๔ Tibetan ༡༡༣༡༢༤ Khmer ១១៣១២៤ Lao ໑໑໓໑໒໔ Burmese ၁၁၃၁၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113124, here are decompositions:

7 + 113117 = 113124
13 + 113111 = 113124
31 + 113093 = 113124
41 + 113083 = 113124
43 + 113081 = 113124
61 + 113063 = 113124
73 + 113051 = 113124
83 + 113041 = 113124

Showing the first eight; more decompositions exist.

Hex color

#01B9E4

RGB(1, 185, 228)

IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.185.228.

Address: 0.1.185.228
Class: reserved
IPv4-mapped IPv6: ::ffff:0.1.185.228

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 113,124 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 US113,124 on Google Patents ↗ Look up on USPTO ↗