16724
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 30324
- Proper Divisor Sum (Aliquot Sum)
- 13600
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8064
- Möbius Function
- 0
- Radical
- 8362
- Omega Function (Ω)
- 4
- 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
- 35
- 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
- Coordination sequence for MgNi2, Position Ni2.at n=32A009932
- Fibonacci sequence beginning 0, 4.at n=19A022087
- Sums of 5 distinct powers of 4.at n=25A038473
- First partial sums of A048739; second partial sums of A000129.at n=10A048776
- Integer averages of two successive perfect powers (pp(n) + pp(n+1))/2.at n=28A075454
- Distinct-digit averages of two successive perfect powers (pp(n) + pp(n+1))/2.at n=18A075456
- Number of unlabeled, connected graphs on n vertices which have no induced subgraph isomorphic to a C4 (cycle on 4 vertices.)at n=8A079566
- Number of partitions of n such that the least part occurs with even multiplicity.at n=39A096374
- a(n) = (7*n^3 + 6*n^2 + 5*n) / 6.at n=24A101165
- Let S be the sequence Fibonacci(2n), n>0 (cf. A001906); sequence lists the differences S(j)-S(i) for i<j.at n=47A169690
- a(n) = A171373(n+1) - 2*A171373(n).at n=20A171408
- Number of 3-step one space at a time bishop's tours on an n X n board summed over all starting positions.at n=38A187156
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 6,6,2,0,2,0,1 for x=0,1,2,3,4,5,6.at n=5A205079
- Smallest number m such that 3^m contains a string of n consecutive increasing integers in its decimal representation.at n=8A238507
- Number of nX3 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=7A239981
- T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4.at n=52A239986
- Number of nX5 0..1 arrays with every element equal to 0, 1, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=11A302512
- G.f.: Sum_{n>=0} x^n * (1 - x^(n+1))^n / (1 + x^(n+1))^(n+1).at n=54A323695
- a(n) = (3*n^5 + 4*n^3 - n)/6.at n=7A372751
- Array read by antidiagonals: T(m,n) is the number of mutual-visibility sets in the grid graph P_m X P_n.at n=31A392417