14040
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 64
- Divisor Sum
- 50400
- Proper Divisor Sum (Aliquot Sum)
- 36360
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 390
- Omega Function (Ω)
- 8
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 45
- 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
- Theta series of direct sum of 4 copies of hexagonal lattice.at n=8A008655
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/30).at n=27A011940
- Theta series of 8-dimensional strongly 6-modular lattice O(6) with minimal norm 3.at n=32A029720
- Schoenheim bound L_1(n,6,5).at n=21A036833
- Denominators of continued fraction convergents to sqrt(308).at n=11A041581
- Numbers having four 3's in base 8.at n=12A043436
- Numbers that divide the sum of cubes of their divisors.at n=42A046763
- Golden rectangular box numbers: a(n) = n*A007067(n)*A007067(A007067(n)).at n=15A050510
- a(n) = 18*(n - 2)*(2*n - 5).at n=20A060787
- Numbers k such that sigma(k) - usigma(k) > 2k.at n=34A063846
- Number of squares (of another matrix) in the group GL(2,Z_n) described in sequence A000252.at n=20A068516
- a(n) = (2*n+1)*(2*n+2)*(2*n+4)*(2*n+5).at n=4A069079
- First differences of A069475, successive differences of (n+1)^6-n^6.at n=17A069476
- Numbers k not in A065036 but such that tau(k) = omega(k)^3.at n=12A074853
- Numbers k such that d(phi(k)) = phi(d(k)), where d=A000005 and phi=A000010.at n=26A078148
- Decagorials: n-th polygorial for k=10.at n=4A084943
- a(1) = 2, a(n+1) = a(n)*{sigma(a(n))}, where sigma(n) is the sum of the divisors function.at n=3A085865
- Generalized Stirling2 array (5,2).at n=12A091534
- Index of first occurrence of n in A092931, or 0 if n does not appear.at n=48A092932
- Numbers n such that A001414(n) = sum of squared digits of n.at n=27A094908