13380
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
- 24
- Divisor Sum
- 37632
- Proper Divisor Sum (Aliquot Sum)
- 24252
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3552
- Möbius Function
- 0
- Radical
- 6690
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 138
- 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
- Numbers that are the sum of 5 nonzero 8th powers.at n=12A003383
- High temperature series for spin-1/2 Ising partition function on 6D simple cubic lattice.at n=4A030049
- Numbers whose set of base-16 digits is {3,4}.at n=21A032840
- Number of partitions of n with equal number of parts congruent to each of 1 and 3 (mod 5).at n=48A035557
- Expansion of 1/((1-x)^5 - x^5).at n=12A049016
- McKay-Thompson series of class 20d for Monster.at n=48A058559
- Prime(n^2) +/- n are primes.at n=38A064495
- Expansion of the g.f. x/((1+2x)(1-x-x^2)).at n=15A084179
- Number of walks of length 2n between two nodes at distance 2 in the cycle graph C_10.at n=7A095930
- McKay-Thompson series of class 40a for the Monster group.at n=48A112180
- a(n) = Sum_{k>=0} binomial(n,5*k+2).at n=16A139714
- a(n) = Sum_{k >= 0} binomial(n,5*k+4).at n=16A139761
- Sum of the 8th powers of the numbers of standard Young tableaux over all partitions of n.at n=4A218435
- Number of (n+1)X(2+1) 0..1 arrays x(i,j) with row sums sum{j^3*x(i,j), j=1..2+1} nondecreasing, and column sums sum{i^3*x(i,j), i=1..n+1} nondecreasing.at n=9A232855
- Number of binary words of length n with exactly 4 (possibly overlapping) occurrences of the subword given by the binary expansion of n.at n=19A236233
- Sum of binomial(n,k) over cubefree k.at n=13A245269
- Least positive integer m with prime(m)+2 and prime(prime(m))+2 both prime such that prime(m*n)+2 and prime(prime(m*n))+2 are both prime.at n=35A259487
- Expansion of 1/(1 - Sum_{k>=2} (1 - floor(2/d(k)))*x^k), where d(k) is the number of divisors (A000005).at n=45A280544
- Smallest k such that A285481(k) >= n, i.e., lowest d where the smallest integer radius needed for a d-dimensional ball to have a volume >= 1 is at least n.at n=28A285482
- Least k such that there are exactly A003586(n) ways to choose a binary index of each binary index of k.at n=23A368111