15113
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18432
- Proper Divisor Sum (Aliquot Sum)
- 3319
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 12096
- Möbius Function
- -1
- Radical
- 15113
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 89
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers ending with '3' that are the difference of two positive cubes.at n=32A038858
- Starting positions of strings of 3 0's in the decimal expansion of Pi.at n=12A050202
- Number of inequivalent projective binary linear [n,k] codes of any dimension k <= n. Also the number of simple binary matroids on n points.at n=12A076834
- Indices of primes in sequence defined by A(0) = 57, A(n) = 10*A(n-1) - 43 for n > 0.at n=16A101575
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x+127)^2 = y^2.at n=9A129992
- A144325(n) + A144313(n) + A144315(n).at n=31A144715
- Number of permutations of 2 indistinguishable copies of 1..n arranged in a circle with exactly 2 adjacent element pairs in decreasing order.at n=6A151583
- a(n) = prime(n)^6 - 512.at n=2A153486
- Partial sums of pentanacci numbers (A000322).at n=16A190912
- Monotonic ordering of nonnegative differences 5^i-2^j, for 40>=i>=0, j>=0.at n=43A192115
- Monotonic ordering of nonnegative differences 5^i-8^j, for 40>= i>=0, j>=0.at n=16A192197
- Number of (w,x,y,z) with all terms in {1,...,n} and 3w=x+y+z+n.at n=33A212247
- a(n) = n^3 - floor(n/3)^3.at n=25A213039
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 5, n >= 2.at n=51A214023
- Irregular array T(n,k) of the numbers of non-extendable (complete) non-self-adjacent simple paths starting at each of a minimal subset of nodes within a square lattice bounded by rectangles with nodal dimensions n and 8, n >= 2.at n=22A214038
- -7-Knödel numbers.at n=18A225511
- Number T(n,k) of tilings of a 5 X n rectangle with pentominoes of any shape and exactly k pentominoes of shape I; triangle T(n,k), n>=0, 0<=k<=n, read by rows.at n=21A247703
- Number of tilings of a 5 X n rectangle using n pentominoes of any but the I shape.at n=6A247767
- Number of set partitions of [n] having the maximal possible number of pairs (m,m+1) such that m+1 is in some block b and m is in block b+1.at n=37A270967
- Numbers k such that (7*10^k + 143)/3 is prime.at n=27A271585