5178
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10368
- Proper Divisor Sum (Aliquot Sum)
- 5190
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1724
- Möbius Function
- -1
- Radical
- 5178
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 41
- 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
- a(n) = [ e*a(n-1) ], where a(0) = 1.at n=9A024576
- n written in fractional base 9/5.at n=53A024653
- Decimal part of cube root of a(n) starts with 3: first term of runs.at n=15A034129
- Molien series for 3-D group R2+R3.at n=35A037242
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5) + cn(2,5) and cn(0,5) < cn(1,5) + cn(4,5) + cn(3,5).at n=29A039846
- Triangle T(n,k) is the number of restricted growth strings (RGS) of set partitions of {1..n} that have a decrease at index k (1<=k<n).at n=30A056862
- Index of the first occurrence of prime(n) in A092938.at n=41A092939
- 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, -1, 0), (-1, 0, 1), (0, 1, -1), (0, 1, 1), (1, -1, 0)}.at n=8A148871
- 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, -1, 1), (-1, 1, 1), (0, 1, 0), (1, 0, -1), (1, 1, 0)}.at n=7A150168
- Convolution triangle by rows, A004736 * (A154108 * 0^(n-k)); row sums = Bell numbers.at n=43A154109
- 144*n^2 - n.at n=5A156635
- a(n) = 576*n^2 - 2*n.at n=2A158371
- a(n) = 36*n^2 - 6.at n=11A158462
- a(n) = 6*(24*n - 1).at n=35A187206
- Dispersion of (floor(n*e)), by antidiagonals.at n=45A191455
- (A209982)/2.at n=32A209983
- Number of partitions of n in which any two parts differ by at most 8.at n=33A218510
- Denominators of Bernoulli numbers which are congruent to 3 (mod 9).at n=30A219543
- Bernoulli denominators with 8 divisors in increasing order (without repetitions).at n=27A219742
- Number of (n+2) X 5 0..1 matrices with each 3 X 3 subblock idempotent.at n=12A224554