9627
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12840
- Proper Divisor Sum (Aliquot Sum)
- 3213
- 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
- 6416
- Möbius Function
- 1
- Radical
- 9627
- Omega Function (Ω)
- 2
- 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
- 47
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of different keys with n cuts, depths between 1 and 7 and depth difference at most 1 between adjacent cut depths.at n=8A002714
- [ 4th elementary symmetric function of {log(k)} ], k = 2,3,...,n.at n=9A025204
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 97.at n=22A031595
- Number of undirected walks of length n+1 on tetrahedron, visiting n+2 vertices, with n "corners", as in A001998, but allowing only rigid motions in 3-space (|G| = 12). Walks are not self-avoiding.at n=9A051436
- Solution to the Dancing School Problem with 10 girls and n+10 boys: f(10,n).at n=3A079915
- Solution to the Dancing School Problem with n girls and n+3 boys: f(n,3).at n=9A079922
- n! - n# - 1 is prime, where n# is the primorial function.at n=16A081713
- Starting numbers for which the RATS sequence has eventual period 14.at n=27A114615
- Numbers k such that k and 5*k, taken together, are zeroless pandigital.at n=10A115930
- Duplicate of A002714.at n=8A126361
- a(n) = denominator of the continued fraction which has the positive divisors of n as its terms. The terms are written in order from 1 for the integer part, to n for the final term of the continued fraction.at n=19A127612
- Numbers k such that k and k^2 use only the digits 1, 2, 6, 7 and 9.at n=11A137015
- This sequence and A139143 are complements. a(1) = 1, A139143(1) = 2, a(n+1) = a(n) + Sum_{k = 1..n} A139143(k).at n=35A139142
- Number of n X 8 binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally.at n=5A188865
- Number of partitions p of n such that mean(p) > multiplicity(max(p)).at n=33A240202
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 205", based on the 5-celled von Neumann neighborhood.at n=23A270731
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 299", based on the 5-celled von Neumann neighborhood.at n=23A271154
- Sum over all partitions of n into distinct parts of the bitwise XOR of the parts.at n=35A306925
- Index of first occurrence of n appearing twice in succession in van Eck's sequence (A181391), or 0 if it never occurs.at n=35A308782
- Number of loop-graphical integer partitions of 2n.at n=18A339656