10672
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 22320
- Proper Divisor Sum (Aliquot Sum)
- 11648
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4928
- Möbius Function
- 0
- Radical
- 1334
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 3
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
- 148
- 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
- Expansion of e.g.f. tan(tan(tan(x))).at n=3A003720
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = (1, p(1), p(2), ...).at n=25A024479
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = (1, p(1), p(2), ...).at n=24A025099
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 11 ones.at n=23A031779
- Numbers k whose decimal representation, read as a base-17 value and divided by k, yields an integer.at n=10A032565
- a(n) = n*(n+1)*(5*n+1)/6.at n=22A033994
- Minimum diameter of an integral set of n points in the plane, no 3 on a line.at n=27A096872
- Integer part of the area of integer triangle [A001611(n), A001611(n+1), A001611(n+2)].at n=14A097281
- First entry of the vector (M^n)w, where M is the 6x6 matrix [[0, 1, 0, 0, 0, 0, ], [0, 0, 1, 0, 0, 0], [0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 1], [1, 0, -1, 0, 1, 1]] and w is the column vector [0, 1, 1, 2, 3, 5].at n=24A117792
- Convolution triangle, read by rows, where diagonals are successive self-convolutions of A118346.at n=50A118349
- Numbers k such that k and k^2 together contain all ten digits.at n=33A122477
- Numbers k such that A098572(k) - A098572(k-1) = 2.at n=43A133497
- a(n) is the largest number in the n-th row of triangle A140997.at n=15A141018
- List of different composites in Pascal-like triangles with index of asymmetry y = 2 and index of obliquity z = 0 or z = 1.at n=31A141066
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (1, -1, 1), (1, 1, -1), (1, 1, 1)}.at n=8A149455
- Multiples of 23 whose digit reversal - 1 is also a multiple of 23.at n=18A166400
- a(n) = n*(2 + 5*n).at n=46A168668
- Number of undirected Knight's tours on a 3 X n board.at n=10A169696
- a(n) = floor(n! / Fibonacci(n)).at n=8A182212
- Array A(i,j) read by antidiagonals: A(i,j) is the (2*i-1)-th derivative of tan(tan(tan(...tan(x)))) nested j times evaluated at 0.at n=18A212267