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113,824

113,824 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.).

113,824 (one hundred thirteen thousand eight hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2⁵ × 3,557. Written other ways, in hexadecimal, 0x1BCA0.

Deficient Number Evil Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
192
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
428,311
Recamán's sequence
a(56,439) = 113,824
Square (n²)
12,955,902,976
Cube (n³)
1,474,692,700,340,224
Divisor count
12
σ(n) — sum of divisors
224,154
φ(n) — Euler's totient
56,896
Sum of prime factors
3,567

Primality

Prime factorization: 2 5 × 3557

Nearest primes: 113,819 (−5) · 113,837 (+13)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 8 · 16 · 32 · 3557 · 7114 · 14228 · 28456 · 56912 (half) · 113824
Aliquot sum (sum of proper divisors): 110,330
Factor pairs (a × b = 113,824)
1 × 113824
2 × 56912
4 × 28456
8 × 14228
16 × 7114
32 × 3557
First multiples
113,824 · 227,648 (double) · 341,472 · 455,296 · 569,120 · 682,944 · 796,768 · 910,592 · 1,024,416 · 1,138,240

Sums & aliquot sequence

As a sum of two squares: 60² + 332²
As consecutive integers: 1,747 + 1,748 + … + 1,810
Aliquot sequence: 113,824 110,330 122,950 105,830 95,050 81,836 65,164 59,324 44,500 53,780 59,200 90,406 53,234 28,606 14,306 8,158 4,082 — unresolved within range

Continued fraction of √n

√113,824 = [337; (2, 1, 1, 1, 4, 2, 1, 2, 8, 5, 1, 9, 1, 1, 5, 6, 1, 5, 1, 1, 3, 3, 6, 4, …)]

Representations

In words
one hundred thirteen thousand eight hundred twenty-four
Ordinal
113824th
Binary
11011110010100000
Octal
336240
Hexadecimal
0x1BCA0
Base64
Abyg
One's complement
4,294,853,471 (32-bit)
Scientific notation
1.13824 × 10⁵
As a duration
113,824 s = 1 day, 7 hours, 37 minutes, 4 seconds
In other bases
ternary (3) 12210010201
quaternary (4) 123302200
quinary (5) 12120244
senary (6) 2234544
septenary (7) 652564
nonary (9) 183121
undecimal (11) 78577
duodecimal (12) 55a54
tridecimal (13) 3ca69
tetradecimal (14) 2d6a4
pentadecimal (15) 23ad4

As an angle

113,824° = 316 × 360° + 64°
64° ≈ 1.117 rad
Compass bearing: ENE (east-northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγωκδʹ
Mayan (base 20)
𝋮·𝋤·𝋫·𝋤
Chinese
一十一萬三千八百二十四
Chinese (financial)
壹拾壹萬參仟捌佰貳拾肆
In other modern scripts
Eastern Arabic ١١٣٨٢٤ Devanagari ११३८२४ Bengali ১১৩৮২৪ Tamil ௧௧௩௮௨௪ Thai ๑๑๓๘๒๔ Tibetan ༡༡༣༨༢༤ Khmer ១១៣៨២៤ Lao ໑໑໓໘໒໔ Burmese ၁၁၃၈၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113824, here are decompositions:

  • 5 + 113819 = 113824
  • 41 + 113783 = 113824
  • 47 + 113777 = 113824
  • 101 + 113723 = 113824
  • 107 + 113717 = 113824
  • 167 + 113657 = 113824
  • 233 + 113591 = 113824
  • 257 + 113567 = 113824

Showing the first eight; more decompositions exist.

Unicode codepoint
𛲠
Shorthand Format Letter Overlap
U+1BCA0
Format character (Cf)

UTF-8 encoding: F0 9B B2 A0 (4 bytes).

Hex color
#01BCA0
RGB(1, 188, 160)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.160.

Address
0.1.188.160
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.160

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 113,824 and was likely granted around 1871.

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

Position in π

The digit sequence 113824 first appears in π at position 384,924 of the decimal expansion (the 384,924ordinal-suffix:th digit after the integer 3).

Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.

Related reading