4202
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 6912
- Proper Divisor Sum (Aliquot Sum)
- 2710
- 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
- 1900
- Möbius Function
- -1
- Radical
- 4202
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 33
- 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
- Cluster series for bond percolation problem on b.c.c. lattice.at n=4A003206
- Tetrahedral numbers written backwards.at n=22A004161
- Coordination sequence for hexagonal close-packing.at n=20A007899
- Coordination sequence T1 for Milarite.at n=40A008256
- Coordination sequence for tridymite, lonsdaleite, and wurtzite.at n=40A008264
- Coordination sequence for alpha-Nd, Position Nd1.at n=20A009948
- a(0) = 1, a(n) = 42*n^2 + 2 for n>0.at n=10A010023
- Number of partitions of n into distinct parts, none being 6.at n=55A015753
- Number of cyclic oriented multigraphs on n labeled arcs (with loops).at n=4A020565
- Expansion of 1/((1-x)(1-3x)(1-8x)(1-10x)).at n=3A021644
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 2) and d(n) = (n-th number that is 1 or is not a Lucas number).at n=15A023496
- a(n) = b(n) + d(n), where b(n) = (n-th Fibonacci number > 1) and d(n) = (n-th number that is 1, 2, or 3, or is not a Lucas number).at n=16A023500
- n written in fractional base 6/4.at n=20A024637
- Number of partitions of n into distinct parts, the least being odd.at n=55A026832
- a(n) = floor(5*n^2/2).at n=41A032526
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(2,5) <= cn(1,5) and cn(2,5) <= cn(4,5)).at n=42A036808
- Coordination sequence T9 for Zeolite Code STT.at n=43A038424
- Numbers whose base-8 representation has exactly 5 runs.at n=30A043627
- Number of partitions of n with equal number of even and odd parts.at n=43A045931
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=13A045940