16768
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 33660
- Proper Divisor Sum (Aliquot Sum)
- 16892
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 8320
- Möbius Function
- 0
- Radical
- 262
- Omega Function (Ω)
- 8
- 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
- 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
- Number of equivalence classes of binary sequences of primitive period n.at n=22A002730
- Numbers that are the sum of 4 positive 7th powers.at n=18A003371
- Numbers that are the sum of at most 4 positive 7th powers.at n=44A004866
- Theta series of lattice Kappa_7.at n=27A015236
- Numbers n such that n is a substring of its square in base 6 (written in base 10).at n=37A018830
- Denominator of fraction equal to the continued fraction [ 2, 3, 5, ..., prime(n) ].at n=5A036248
- Number of step cyclic shifted sequences using exactly two different symbols.at n=22A056415
- Number of primitive (period n) step cyclic shifted sequences using exactly two different symbols.at n=22A056424
- Numbers n such that 4*10^n + 6*R_n - 5 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=17A102994
- Number of all trees of weight n, where nodes have positive integer weights and the sum of the weights of the children of a node is equal to the weight of the node.at n=7A118376
- Products of two consecutive prime powers.at n=44A121315
- Smallest primitive abundant number or perfect number with 2^n as a factor.at n=7A133814
- Row sums of triangle A134417.at n=8A134418
- Number of elements in wreath product C_3 wr S_n that alternate up/not-up with respect to a weak product ordering.at n=5A153742
- a(n) = 729*n + 1.at n=22A158397
- Maxima in A163169.at n=38A163172
- a(n) = (7*n+2)*(7*n+5) = 49*n^2 + 49*n + 10.at n=18A177060
- Products of the 7th power of a prime and a distinct prime (p^7*q).at n=33A179664
- Years >= 1801 in which Christmas falls in Sukkot.at n=40A222419
- Automorphic numbers: n^2 ends with n in base 6.at n=10A237583