15378
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 33696
- Proper Divisor Sum (Aliquot Sum)
- 18318
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4640
- Möbius Function
- 1
- Radical
- 15378
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 58
- 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
- Coordination sequence for C_3 lattice: a(n) = 16*n^2 + 2 (n>0), a(0)=1.at n=31A010006
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite LOV = Lovdarite K4Na12 [Be8Si28O72].18H2O starting with a T2 atom.at n=13A019140
- McKay-Thompson series of class 18C for the Monster group.at n=44A058533
- McKay-Thompson series of class 36A for Monster.at n=44A058644
- a(1) = 1; a(2n) is the smallest prime == 1 mod (a(2n-1)) and a(2n+1) is the smallest composite number == 1 (mod a(2n)).at n=20A075340
- a(1) = 1, a(2n) is the smallest composite number == 1 mod (a(2n-1)) and a(2n+1) is the smallest prime == 1 (mod a(2n)).at n=25A075341
- Sum of terms in n-th rows of triangle in A077159.at n=29A077162
- Row sums of A081964.at n=29A081966
- Numbers k such that F(2*k + 1) is prime where F(m) is a Fibonacci number.at n=27A117517
- Expansion of b(q^3)b(q^2)^2/(b(q)b(q^6)^2) in powers of q where b(q) is a cubic AGM function.at n=43A122831
- McKay-Thompson series of class 18C for the Monster group with a(0) = -3.at n=44A123676
- Number of walks from (0,0) to (n,n) in the region 0 <= x-y <= 4 with the steps (1,0), (0, 1), (2,0) and (0,2).at n=7A127618
- Expansion of chi(q)^3 / chi(q^3) in powers of q where chi() is a Ramanujan theta function.at n=43A132972
- Friedman numbers n such that n+1 is also a Friedman number.at n=29A195420
- McKay-Thompson series of class 18C for the Monster group with a(0) = -2.at n=44A215412
- McKay-Thompson series of class 18C for the Monster group with a(0) = 1.at n=44A215413
- Numbers n such that 14*3^n + 1 is prime.at n=28A216890
- McKay-Thompson series of class 36A for the Monster group with a(0) = 2.at n=44A227585
- Expansion of b(-q) * b(q^6) / (b(q^3) * b(q^12)) in powers of q where b() is a cubic AGM theta function.at n=43A258108
- Triangle read by rows: T(n,k) is the number of non-backtracking walks on Z^2 of length n that are active for k steps, where the walk is initially active and turns in the walk toggle the activity.at n=59A307584