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113,648

113,648 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.).

113,648 (one hundred thirteen thousand six hundred forty-eight) is an even 6-digit number. It is a composite number with 10 divisors, and factors as 2⁴ × 7,103. Written other ways, in hexadecimal, 0x1BBF0.

Deficient Number Odious Number Pernicious Number Recamán's Sequence

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
23
Digit product
576
Digital root
5
Palindrome
No
Bit width
17 bits
Reversed
846,311
Recamán's sequence
a(56,087) = 113,648
Square (n²)
12,915,867,904
Cube (n³)
1,467,862,555,553,792
Divisor count
10
σ(n) — sum of divisors
220,224
φ(n) — Euler's totient
56,816
Sum of prime factors
7,111

Primality

Prime factorization: 2 4 × 7103

Nearest primes: 113,647 (−1) · 113,657 (+9)

Divisors & multiples

All divisors (10)
1 · 2 · 4 · 8 · 16 · 7103 · 14206 · 28412 · 56824 (half) · 113648
Aliquot sum (sum of proper divisors): 106,576
Factor pairs (a × b = 113,648)
1 × 113648
2 × 56824
4 × 28412
8 × 14206
16 × 7103
First multiples
113,648 · 227,296 (double) · 340,944 · 454,592 · 568,240 · 681,888 · 795,536 · 909,184 · 1,022,832 · 1,136,480

Sums & aliquot sequence

As consecutive integers: 3,536 + 3,537 + … + 3,567
Aliquot sequence: 113,648 106,576 99,946 91,574 71,242 36,758 18,382 15,890 16,942 9,194 4,600 6,560 9,316 8,072 7,078 3,542 3,370 — unresolved within range

Continued fraction of √n

√113,648 = [337; (8, 1, 1, 7, 21, 1, 1, 1, 1, 1, 1, 3, 1, 15, 1, 1, 1, 20, 2, 2, 3, 1, 1, 1, …)]

Representations

In words
one hundred thirteen thousand six hundred forty-eight
Ordinal
113648th
Binary
11011101111110000
Octal
335760
Hexadecimal
0x1BBF0
Base64
Abvw
One's complement
4,294,853,647 (32-bit)
Scientific notation
1.13648 × 10⁵
As a duration
113,648 s = 1 day, 7 hours, 34 minutes, 8 seconds
In other bases
ternary (3) 12202220012
quaternary (4) 123233300
quinary (5) 12114043
senary (6) 2234052
septenary (7) 652223
nonary (9) 182805
undecimal (11) 78427
duodecimal (12) 55928
tridecimal (13) 3c962
tetradecimal (14) 2d5ba
pentadecimal (15) 23a18

As an angle

113,648° = 315 × 360° + 248°
248° ≈ 4.328 rad
Compass bearing: WSW (west-southwest)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋𒁹𒁹𒁹𒁹 𒁹𒁹𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγχμηʹ
Mayan (base 20)
𝋮·𝋤·𝋢·𝋨
Chinese
一十一萬三千六百四十八
Chinese (financial)
壹拾壹萬參仟陸佰肆拾捌
In other modern scripts
Eastern Arabic ١١٣٦٤٨ Devanagari ११३६४८ Bengali ১১৩৬৪৮ Tamil ௧௧௩௬௪௮ Thai ๑๑๓๖๔๘ Tibetan ༡༡༣༦༤༨ Khmer ១១៣៦៤៨ Lao ໑໑໓໖໔໘ Burmese ၁၁၃၆၄၈

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113648, here are decompositions:

  • 109 + 113539 = 113648
  • 151 + 113497 = 113648
  • 181 + 113467 = 113648
  • 211 + 113437 = 113648
  • 277 + 113371 = 113648
  • 307 + 113341 = 113648
  • 421 + 113227 = 113648
  • 439 + 113209 = 113648

Showing the first eight; more decompositions exist.

Hex color
#01BBF0
RGB(1, 187, 240)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.240.

Address
0.1.187.240
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.240

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 113,648 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 113648 first appears in π at position 267,444 of the decimal expansion (the 267,444ordinal-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

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