7910
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16416
- Proper Divisor Sum (Aliquot Sum)
- 8506
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2688
- Möbius Function
- 1
- Radical
- 7910
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 145
- 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
- Expansion of 1/((1-3x)(1-4x)(1-10x)(1-11x)).at n=3A028050
- Expansion of (1+3*x+9*x^2+12*x^3+11*x^4+3*x^5+x^6)/((1-x)^2*(1-x^2)^2*(1-x^3)).at n=14A055383
- McKay-Thompson series of class 20d for Monster.at n=44A058559
- Sixth convolution of Lucas numbers A000032(n+1), n >= 0.at n=4A060933
- Least number k such that floor( k / digit reversal of k ) = n.at n=39A068779
- Largest member of the n-th row of the triangular triangle (A093445).at n=33A093446
- Number of compositions of n such that the least part occurs with even multiplicity.at n=14A105201
- McKay-Thompson series of class 40a for the Monster group.at n=44A112180
- Number of permutations of length n which avoid the patterns 2143, 2341, 4312; or avoid the patterns 1234, 1432, 3412.at n=10A116774
- Partial sums of primes that are not Chen primes (starting with 1).at n=29A118483
- Numbers k that divide the sum of the digits of k^k in base 2.at n=4A138572
- A q-Catalan triangle for q=2.at n=24A154829
- Composite numbers such that exactly ten distinct permutations of digits are prime.at n=20A163562
- Number of permutations of order n avoiding the consecutive pattern 11'22'.at n=8A177470
- a(n) = Sum_{k=1..n} binomial(n,k)*sigma(k).at n=9A185003
- a(n) = n*(13*n-3)/2.at n=35A186030
- Sum of all parts minus the total numbers of parts of all partitions of n.at n=19A196087
- Irregular triangular array read by rows T(n,k) is the number of 2-colored labeled graphs that have exactly k edges, n >= 2, 0 <= k <= A033638(n).at n=36A201143
- Number of n element 0..2 arrays with each element the minimum of 5 adjacent elements of a random 0..2 array of n+4 elements.at n=12A217880
- Number of 1 up, 2 down, 3 up, 4 down, ... permutations of [n].at n=11A229066