16242
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 32496
- Proper Divisor Sum (Aliquot Sum)
- 16254
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 5412
- Möbius Function
- -1
- Radical
- 16242
- 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
- 40
- 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
- yes
- Odd
- no
Appears in sequences
- Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their reversed complement, but are not equivalent to their reverse and complement.at n=15A045687
- Number of primitive (aperiodic) palindromic structures of length n using a maximum of two different symbols.at n=30A056476
- Number of primitive (aperiodic) palindromic structures using exactly two different symbols.at n=30A056481
- Sum of totients of binomial coefficients C(n,j), j=0..n.at n=15A064450
- Generating function satisfies A(x) = exp(A(x)x + 3A(x^2)x^2/2 + A(x^3)x^3/3 + 3A(x^4)x^4/4 +...).at n=11A073079
- Smallest integer not the sum of nonzero powers of previous terms.at n=12A122863
- Partial sums of A002522, starting at n=1.at n=35A145066
- Numbers n such that the hexagonal number H(n) is equal to the sum of the pentagonal numbers P(m) and P(m+1) for some m.at n=5A245783
- Numbers k with the property that p = k^2 - 13 and q = k^2 + 13 are consecutive primes.at n=39A248785
- Row sums of A238453.at n=15A272079
- Triangle read by rows, T(n,k) = binomial(n, k)*hypergeom2F1(k - n, n + 1, k + 2, -2) for n >= 0 and 0 <= k <= n.at n=22A297704
- Number of integer partitions of n such that every orderless pair of distinct parts has a different sum.at n=39A325857
- The number of edges formed by straight line segments mutually connecting all vertices of a semicircular polygon defined in A333642.at n=19A330911
- G.f. = 1-1/H(x) where H(x) = 1 + 2*x + 6*x^2 + 22*x^3 + 92*x^4 + 422*x^5 + 2074*x^6 + ... is a g.f. for the Baxter sequence A001181 with a different offset.at n=8A342282
- Number of friendly 3-watermelons of length n.at n=8A342284
- Numbers which are the sum of a prime and the square of the next prime.at n=29A349660
- The fixed points of A355702.at n=42A356017
- Expansion of Sum_{k>0} x^(2*k)/(1+x^k)^5.at n=23A363613