16963
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16964
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 16962
- Möbius Function
- -1
- Radical
- 16963
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 110
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1956
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 68 ones.at n=29A031836
- Upper prime of a difference of 20 between consecutive primes.at n=32A031939
- Discriminants of imaginary quadratic fields with class number 13 (negated).at n=35A046010
- Primes p such that the sum of the digits of p is not prime, but the sum of the squares of the digits of p is prime.at n=29A091362
- a(n) = 17 + floor( (1 + Sum_{j=0..n-1} a(j))/2 ).at n=17A120143
- Number of partitions of n in which each odd part has odd multiplicity.at n=41A131942
- Prime numbers, isolated from neighboring primes by >14.at n=25A137874
- Primes congruent to 30 mod 59.at n=32A142757
- Primes congruent to 5 mod 61.at n=29A142803
- a(n) = 111*n^2 - 3123*n + 10753.at n=30A211607
- List of prime factors of 10^(10^(10^100)) - 10.at n=33A227246
- Number of third differences of arrays of length 5 of numbers in 0..n.at n=21A228261
- Triangle read by rows: T(n,k) = (n-1)*T(n-1,k) + T(n-2,k), with T(n,n-1)=1, T(n,n-2)=n-2, for n >= 1, 0 <= k <= n-1.at n=38A228340
- Third diagonal (T(n,2)) of triangle in A228340.at n=6A228341
- Third prime p such that (p+n)^2+n is prime but (p+j)^2+j is not prime for all 0<j<n.at n=20A238675
- Numbers whose binary representation traces a nonselfcrossing circuit in honeycomb lattice when its bits (from the least to the second most significant bit) are interpreted as directions to proceed at each vertex. (The most significant 1-bit is ignored).at n=42A255571
- Those terms of A255571 whose every A080541/A080542-rotation is also a term of A255571.at n=21A258001
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 429", based on the 5-celled von Neumann neighborhood.at n=28A272113
- Number of partitions of n containing no part i of multiplicity i.at n=38A276429
- Primes that can be generated by the concatenation in base 4, in ascending order, of two consecutive integers read in base 10.at n=14A287302