6676
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 11690
- Proper Divisor Sum (Aliquot Sum)
- 5014
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3336
- Möbius Function
- 0
- Radical
- 3338
- Omega Function (Ω)
- 3
- 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
- 137
- 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
- [ n(n-1)(n-2)(n-3)/11 ].at n=18A011921
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=19A031814
- Number of primes between n*100000 and (n+1)*100000.at n=30A038825
- Numbers having three 6's in base 10.at n=27A043515
- Numbers whose base-9 representation has exactly 5 runs.at n=22A043634
- Number of unlabeled 3-element intersecting families (with distinct sets) of an n-element set.at n=9A055485
- Number of walks of length n on square lattice, starting at origin, staying in first and third quadrants.at n=7A060897
- Interprimes which are of the form s*prime, s=4.at n=27A075279
- Partition the concatenation 1234567...of natural numbers into successive strings which are multiples of 4, all different and > 4. (0 never taken as the most significant digit.)at n=23A077297
- Expansion of x*(1-2*x^2)/(1-x-2*x^2)^2.at n=12A091596
- Sum of largest parts (counted with multiplicity) of all partitions of n into odd parts.at n=32A092310
- Central numbers of the triangle T of all positive differences of distinct Fibonacci numbers.at n=8A094586
- Number of noncongruent integer-sided tetrahedra with largest side n.at n=11A097125
- Numbers with composite sum of digits and prime sum of cubes of digits.at n=29A121642
- a(n) = Sum_{k=floor((n+1)/2)..n} Fibonacci(k+1).at n=17A129361
- A triangular array of numbers related to factorization and number of parts in Murasaki diagrams.at n=62A133611
- Beastly fax numbers: numbers containing the fax number of the Beast (667, one more than its regular number) in their decimal expansion.at n=13A138563
- Indices k such that 15 plus the k-th triangular number is a perfect square.at n=17A154145
- Number of binary strings of length n with no substrings equal to 0000 0101 or 1011.at n=12A164435
- Numbers n such that 10^n - 63 is prime.at n=14A178433