15728
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 30504
- Proper Divisor Sum (Aliquot Sum)
- 14776
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7856
- Möbius Function
- 0
- Radical
- 1966
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 2
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
- 146
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Integers m such that the base-10 digit concatenation 2//m//3//m//5//m...//prime(49)//m//prime(50) is prime.at n=36A084048
- Number of partitions of n having positive odd rank (the rank of a partition is the largest part minus the number of parts).at n=43A101707
- Number of ways to place zero or more nonadjacent 1,0 1,1 2,0 3,0 4,0 5,1 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155279
- Number of (n+1)X2 0..2 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents.at n=3A205286
- Number of (n+1)X5 0..2 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents.at n=0A205289
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents.at n=6A205293
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with permanents of 2X2 subblocks differing from horizontal and vertical neighbor permanents.at n=9A205293
- T(n,k) = Number of (n+1)X(k+1) 0..2 arrays with 2X2 subblock determinants differing from horizontal neighbors and permanents differing from vertical neighbors.at n=9A205894
- Number of 5X(n+1) 0..2 arrays with 2X2 subblock determinants differing from horizontal neighbors and permanents differing from vertical neighbors.at n=0A205897
- G.f. satisfies: A(x) = Sum_{n>=0} x^n*(1 + n*x)^n * A(x)^n / (1 + x*A(x) + n*x^2*A(x))^n.at n=10A222589
- Number of compositions of n into parts with multiplicity not larger than 8.at n=15A243086
- Number of simple connected graphs with n nodes that are Hamiltonian and have no subgraph isomorphic to the open-bowtie graph.at n=10A243790
- Numbers equal to the arithmetic derivative of their Euler totient function.at n=36A248815
- Partial sums of A267326.at n=17A264390
- Number of nX5 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.at n=3A278277
- T(n,k) = Number of n X k 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.at n=31A278280
- Number of 4Xn 0..1 arrays with every element both equal and not equal to some elements at offset (-1,-1) (-1,0) (-1,1) (0,-1) (0,1) or (1,0), with upper left element zero.at n=4A278283
- 7*n analog to Keith numbers.at n=28A282762
- Numbers k such that (8*10^k - 101)/3 is prime.at n=17A294121
- a(n) is the number of partitions p = p(1) >= p(2) >= ... >= p(k) of n whose alternating sum is a part of p.at n=40A308410