12408
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
- 32
- Divisor Sum
- 34560
- Proper Divisor Sum (Aliquot Sum)
- 22152
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3680
- Möbius Function
- 0
- Radical
- 3102
- Omega Function (Ω)
- 6
- 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
- 156
- 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
- Numerator of n*(n-2)*(2*n-1)/(2*(n-1)).at n=22A022997
- Theta series of A*_11 lattice.at n=56A023923
- Number of trees with 3-colored leaves.at n=10A036252
- Numbers k such that the first k quaternary digits found in the base-10 expansion of Pi form a prime (when the decimal point is ignored).at n=11A065840
- Numbers that can be expressed as the difference of the squares of primes in exactly four distinct ways.at n=34A092000
- Pentanacci numbers: a(n)=a(n-1)+a(n-2)+a(n-3)+a(n-4)+a(n-5), {1,2,3,4,5...}.at n=15A145029
- Eleven times hexagonal numbers: a(n) = 11*n*(2*n-1).at n=24A154617
- Numbers k such that sigma(tau(k)) equals the sum of distinct primes dividing k.at n=33A173325
- Least m>0 such that prime(n) divides S(m)=A007908(m)=123...m and all numbers obtained by cyclic permutations of its digits; 0 if no such m exists.at n=36A181373
- Molecular topological indices of the crown graphs.at n=11A192796
- Number of distinct sums <= 1 of distinct reciprocals of integers <= n.at n=18A212607
- Number of 4 X n 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing.at n=20A224040
- Expansion of x/((1-x-x^3)*(1-x)^3).at n=18A226405
- Number of lattice points in the closed region bounded by the graphs of y = (5/6)*x^2, x = n, and y = 0, excluding points on the x-axis.at n=34A227347
- Number of (n+1) X (2+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=2A237378
- Number of (n+1)X(3+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A237379
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=7A237384
- T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=8A237384
- Sum of all aliquot divisors of all positive integers <= prime(n).at n=44A244578
- Terms of A143407, sorted.at n=26A270564