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113,752

113,752 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.).

113,752 (one hundred thirteen thousand seven hundred fifty-two) is an even 6-digit number. It is a composite number with 16 divisors, and factors as 2³ × 59 × 241. Written other ways, in hexadecimal, 0x1BC58.

Deficient Number Odious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
19
Digit product
210
Digital root
1
Palindrome
No
Bit width
17 bits
Reversed
257,311
Recamán's sequence
a(56,295) = 113,752
Square (n²)
12,939,517,504
Cube (n³)
1,471,895,995,115,008
Divisor count
16
σ(n) — sum of divisors
217,800
φ(n) — Euler's totient
55,680
Sum of prime factors
306

Primality

Prime factorization: 2 3 × 59 × 241

Nearest primes: 113,749 (−3) · 113,759 (+7)

Divisors & multiples

All divisors (16)
1 · 2 · 4 · 8 · 59 · 118 · 236 · 241 · 472 · 482 · 964 · 1928 · 14219 · 28438 · 56876 (half) · 113752
Aliquot sum (sum of proper divisors): 104,048
Factor pairs (a × b = 113,752)
1 × 113752
2 × 56876
4 × 28438
8 × 14219
59 × 1928
118 × 964
236 × 482
241 × 472
First multiples
113,752 · 227,504 (double) · 341,256 · 455,008 · 568,760 · 682,512 · 796,264 · 910,016 · 1,023,768 · 1,137,520

Sums & aliquot sequence

As consecutive integers: 7,102 + 7,103 + … + 7,117 1,899 + 1,900 + … + 1,957 352 + 353 + … + 592
Aliquot sequence: 113,752 104,048 126,592 142,688 210,112 282,140 310,396 240,756 321,036 453,108 623,212 472,988 354,748 271,724 203,800 270,500 321,364 — unresolved within range

Continued fraction of √n

√113,752 = [337; (3, 1, 2, 5, 1, 7, 2, 15, 1, 55, 3, 1, 2, 74, 1, 1, 2, 2, 2, 1, 1, 74, 2, 1, …)]

Period length 36 — the block in parentheses repeats forever.

Representations

In words
one hundred thirteen thousand seven hundred fifty-two
Ordinal
113752nd
Binary
11011110001011000
Octal
336130
Hexadecimal
0x1BC58
Base64
AbxY
One's complement
4,294,853,543 (32-bit)
Scientific notation
1.13752 × 10⁵
As a duration
113,752 s = 1 day, 7 hours, 35 minutes, 52 seconds
In other bases
ternary (3) 12210001001
quaternary (4) 123301120
quinary (5) 12120002
senary (6) 2234344
septenary (7) 652432
nonary (9) 183031
undecimal (11) 78511
duodecimal (12) 559b4
tridecimal (13) 3ca12
tetradecimal (14) 2d652
pentadecimal (15) 23a87

As an angle

113,752° = 315 × 360° + 352°
352° ≈ 6.144 rad
Compass bearing: N (north)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹 𒌋𒌋𒌋𒌋𒌋𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺
Greek (Milesian)
͵ριγψνβʹ
Mayan (base 20)
𝋮·𝋤·𝋧·𝋬
Chinese
一十一萬三千七百五十二
Chinese (financial)
壹拾壹萬參仟柒佰伍拾貳
In other modern scripts
Eastern Arabic ١١٣٧٥٢ Devanagari ११३७५२ Bengali ১১৩৭৫২ Tamil ௧௧௩௭௫௨ Thai ๑๑๓๗๕๒ Tibetan ༡༡༣༧༥༢ Khmer ១១៣៧៥២ Lao ໑໑໓໗໕໒ Burmese ၁၁၃၇၅၂

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113752, here are decompositions:

  • 3 + 113749 = 113752
  • 29 + 113723 = 113752
  • 131 + 113621 = 113752
  • 239 + 113513 = 113752
  • 251 + 113501 = 113752
  • 263 + 113489 = 113752
  • 389 + 113363 = 113752
  • 563 + 113189 = 113752

Showing the first eight; more decompositions exist.

Unicode codepoint
𛱘
Duployan Letter Sloan U
U+1BC58
Other letter (Lo)

UTF-8 encoding: F0 9B B1 98 (4 bytes).

Hex color
#01BC58
RGB(1, 188, 88)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.188.88.

Address
0.1.188.88
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.188.88

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 113,752 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 113752 first appears in π at position 211,089 of the decimal expansion (the 211,089ordinal-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