16170
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 49248
- Proper Divisor Sum (Aliquot Sum)
- 33078
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3360
- Möbius Function
- 0
- Radical
- 2310
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 5
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
- 66
- 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
- 4-dimensional pyramidal numbers: a(n) = n^2*(n^2-1)/12.at n=21A002415
- a(n) = (n-1)*n*(n+4)/6.at n=45A005581
- Coefficient of x^4 in (1-x-x^2)^(-n).at n=20A006504
- Number of partitions of n into parts of 21 kinds.at n=4A023019
- a(n) = 7*(n+1)*binomial(n+5,7).at n=4A027812
- a(n) = 14*(n+1)*binomial(n+5,8).at n=3A027813
- Values of Newton-Gregory forward interpolating polynomial (1/3)*(n-1)*(2*n+3)*(2*n-1).at n=23A030440
- a(n) = (3*n - 1)*(4*n - 1).at n=37A033578
- a(n) = n*(2*n+5)*(2*n+7).at n=14A035329
- Catafusenes (see reference for precise definition).at n=7A045890
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^11 in powers of x.at n=14A047649
- a(n) = n*(2*n+5)*(n-1)/6.at n=36A051925
- n*(n-1)*(n-2)*(n-3)*(n-4)*(2*n-1)/72.at n=11A055504
- McKay-Thompson series of class 27A for the Monster group.at n=32A058599
- a(1)=1, a(2)=2; thereafter, a(n) is the smallest number m not yet in the sequence such that every prime that divides a(n-1) also divides m.at n=29A060735
- Centered 23-gonal numbers.at n=37A069174
- An interleaved sequence of pyramidal and polygonal numbers.at n=40A081283
- a(n) = (2/(n-1))*a(n-1) + ((n+5)/(n-1))*a(n-2) with a(0)=0 and a(1)=1.at n=39A096338
- Beginning with sequence A096903, choose only those rows such that when a(n) is in factored form all exponents of a(n) are consecutive starting at 1.at n=44A117311
- A002415 and A052472 interlaced.at n=41A117651