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113,456

113,456 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.).

113,456 (one hundred thirteen thousand four hundred fifty-six) is an even 6-digit number. It is a composite number with 20 divisors, and factors as 2⁴ × 7 × 1,013. Its proper divisors sum to 138,016, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x1BB30.

Abundant Number Gapful Number Odious Number Recamán's Sequence Semiperfect Number Smith Number

Interestingness

Properties

Parity
Even
Digit count
6
Digit sum
20
Digit product
360
Digital root
2
Palindrome
No
Bit width
17 bits
Reversed
654,311
Recamán's sequence
a(53,671) = 113,456
Square (n²)
12,872,263,936
Cube (n³)
1,460,435,577,122,816
Divisor count
20
σ(n) — sum of divisors
251,472
φ(n) — Euler's totient
48,576
Sum of prime factors
1,028

Primality

Prime factorization: 2 4 × 7 × 1013

Nearest primes: 113,453 (−3) · 113,467 (+11)

Divisors & multiples

All divisors (20)
1 · 2 · 4 · 7 · 8 · 14 · 16 · 28 · 56 · 112 · 1013 · 2026 · 4052 · 7091 · 8104 · 14182 · 16208 · 28364 · 56728 (half) · 113456
Aliquot sum (sum of proper divisors): 138,016
Factor pairs (a × b = 113,456)
1 × 113456
2 × 56728
4 × 28364
7 × 16208
8 × 14182
14 × 8104
16 × 7091
28 × 4052
56 × 2026
112 × 1013
First multiples
113,456 · 226,912 (double) · 340,368 · 453,824 · 567,280 · 680,736 · 794,192 · 907,648 · 1,021,104 · 1,134,560

Sums & aliquot sequence

As consecutive integers: 16,205 + 16,206 + … + 16,211 3,530 + 3,531 + … + 3,561 395 + 396 + … + 618
Aliquot sequence: 113,456 138,016 149,264 155,776 154,814 107,842 77,054 40,666 20,336 21,328 22,320 55,056 95,728 96,720 236,592 459,792 881,392 — unresolved within range

Continued fraction of √n

√113,456 = [336; (1, 4, 1, 26, 8, 1, 4, 1, 3, 2, 1, 1, 1, 2, 2, 1, 1, 1, 3, 1, 1, 2, 1, 1, …)]

Representations

In words
one hundred thirteen thousand four hundred fifty-six
Ordinal
113456th
Binary
11011101100110000
Octal
335460
Hexadecimal
0x1BB30
Base64
Absw
One's complement
4,294,853,839 (32-bit)
Scientific notation
1.13456 × 10⁵
As a duration
113,456 s = 1 day, 7 hours, 30 minutes, 56 seconds
In other bases
ternary (3) 12202122002
quaternary (4) 123230300
quinary (5) 12112311
senary (6) 2233132
septenary (7) 651530
nonary (9) 182562
undecimal (11) 78272
duodecimal (12) 557a8
tridecimal (13) 3c845
tetradecimal (14) 2d4c0
pentadecimal (15) 2393b

As an angle

113,456° = 315 × 360° + 56°
56° ≈ 0.977 rad
Compass bearing: NE (northeast)

Historical numeral systems

Babylonian (base 60)
𒌋𒌋𒌋𒁹 𒌋𒌋𒌋 𒌋𒌋𒌋𒌋𒌋𒁹𒁹𒁹𒁹𒁹𒁹
Egyptian hieroglyphic
𓆐𓂍𓆼𓆼𓆼𓍢𓍢𓍢𓍢𓎆𓎆𓎆𓎆𓎆𓏺𓏺𓏺𓏺𓏺𓏺
Greek (Milesian)
͵ριγυνϛʹ
Mayan (base 20)
𝋮·𝋣·𝋬·𝋰
Chinese
一十一萬三千四百五十六
Chinese (financial)
壹拾壹萬參仟肆佰伍拾陸
In other modern scripts
Eastern Arabic ١١٣٤٥٦ Devanagari ११३४५६ Bengali ১১৩৪৫৬ Tamil ௧௧௩௪௫௬ Thai ๑๑๓๔๕๖ Tibetan ༡༡༣༤༥༦ Khmer ១១៣៤៥៦ Lao ໑໑໓໔໕໖ Burmese ၁၁၃၄၅၆

Also seen as

Goldbach decomposition

Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 113456, here are decompositions:

  • 3 + 113453 = 113456
  • 19 + 113437 = 113456
  • 73 + 113383 = 113456
  • 97 + 113359 = 113456
  • 127 + 113329 = 113456
  • 223 + 113233 = 113456
  • 229 + 113227 = 113456
  • 283 + 113173 = 113456

Showing the first eight; more decompositions exist.

Hex color
#01BB30
RGB(1, 187, 48)
IPv4 address

As an unsigned 32-bit integer, this is the IPv4 address 0.1.187.48.

Address
0.1.187.48
Class
reserved
IPv4-mapped IPv6
::ffff:0.1.187.48

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 113,456 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 113456 first appears in π at position 942,610 of the decimal expansion (the 942,610ordinal-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.