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115,724

115,724 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.).

115,724 (one hundred fifteen thousand seven hundred twenty-four) is an even 6-digit number. It is a composite number with 12 divisors, and factors as 2² × 7 × 4,133. Its proper divisors sum to 115,780, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1C40C.

Abundant Number Arithmetic Number Cube-Free Evil Number Gapful Number Recamán's Sequence Semiperfect Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
280
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
427,511
Recamán's sequence
a(72,855) = 115,724
Square (n²)
13,392,044,176
Cube (n³)
1,549,780,920,223,424
Divisor count
12
σ(n) — sum of divisors
231,504
φ(n) — Euler's totient
49,584
Sum of prime factors
4,144

Primality

Prime factorization: 2 2 × 7 × 4133

Nearest primes: 115,693 (−31) · 115,727 (+3)

Divisors & multiples

All divisors (12)
1 · 2 · 4 · 7 · 14 · 28 · 4133 · 8266 · 16532 · 28931 · 57862 (half) · 115724
Aliquot sum (sum of proper divisors): 115,780
Factor pairs (a × b = 115,724)
1 × 115724
2 × 57862
4 × 28931
7 × 16532
14 × 8266
28 × 4133
First multiples
115,724 · 231,448 (double) · 347,172 · 462,896 · 578,620 · 694,344 · 810,068 · 925,792 · 1,041,516 · 1,157,240

Sums & aliquot sequence

As consecutive integers: 16,529 + 16,530 + … + 16,535 14,462 + 14,463 + … + 14,469 2,039 + 2,040 + … + 2,094
Aliquot sequence: 115,724 115,780 162,428 162,484 168,686 120,514 60,260 72,796 54,604 57,284 42,970 34,394 19,066 9,536 9,514 5,174 3,226 — unresolved within range

Continued fraction of √n

√115,724 = [340; (5, 2, 16, 1, 1, 4, 12, 6, 1, 2, 1, 1, 2, 7, 2, 1, 10, 1, 5, 1, 2, 4, 4, 1, …)]

Representations

In words
one hundred fifteen thousand seven hundred twenty-four
Ordinal
115724th
Binary
11100010000001100
Octal
342014
Hexadecimal
0x1C40C
Base64
AcQM
One's complement
4,294,851,571 (32-bit)
Scientific notation
1.15724 × 10⁵
As a duration
115,724 s = 1 day, 8 hours, 8 minutes, 44 seconds
In other bases
ternary (3) 12212202002
quaternary (4) 130100030
quinary (5) 12200344
senary (6) 2251432
septenary (7) 661250
nonary (9) 185662
undecimal (11) 79a44
duodecimal (12) 56b78
tridecimal (13) 4089b
tetradecimal (14) 30260
pentadecimal (15) 2444e

As an angle

115,724° = 321 × 360° + 164°
164° ≈ 2.862 rad
Compass bearing: SSE (south-southeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριεψκδʹ
Mayan (base 20)
𝋮·𝋩·𝋦·𝋤
Chinese
一十一萬五千七百二十四
Chinese (financial)
壹拾壹萬伍仟柒佰貳拾肆
In other modern scripts
Eastern Arabic ١١٥٧٢٤ Devanagari ११५७२४ Bengali ১১৫৭২৪ Tamil ௧௧௫௭௨௪ Thai ๑๑๕๗๒๔ Tibetan ༡༡༥༧༢༤ Khmer ១១៥៧២៤ Lao ໑໑໕໗໒໔ Burmese ၁၁၅၇၂၄

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 115724, here are decompositions:

  • 31 + 115693 = 115724
  • 61 + 115663 = 115724
  • 67 + 115657 = 115724
  • 127 + 115597 = 115724
  • 163 + 115561 = 115724
  • 211 + 115513 = 115724
  • 397 + 115327 = 115724
  • 421 + 115303 = 115724

Showing the first eight; more decompositions exist.

Hex color
#01C40C
RGB(1, 196, 12)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.196.12.

Address
0.1.196.12
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.196.12

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 115,724 and was likely granted around 1871.

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

Related reading

  • Mayan numerals — Vigesimal dots-and-bars with a shell zero — one of the earliest true zeros.