13344
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 35280
- Proper Divisor Sum (Aliquot Sum)
- 21936
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4416
- Möbius Function
- 0
- Radical
- 834
- Omega Function (Ω)
- 7
- 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
- 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
- Theta series of P_{9a} packing.at n=12A005951
- McKay-Thompson series of class 6E for Monster (and, apart from signs, of class 12B).at n=43A007258
- Numbers k such that 21*2^k+1 is prime.at n=27A032360
- McKay-Thompson series of class 6E for the Monster group with a(0) = 1.at n=43A045488
- Numbers k such that 5*10^k + 7*R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=16A056715
- McKay-Thompson series of class 36A for Monster.at n=43A058644
- McKay-Thompson series of class 36D for the Monster simple group.at n=43A058647
- Numbers n such that the sum of the prime factors of n equals the product of the digits of n.at n=24A067173
- G.f.: (x+4*x^3+x^5)/((1-x)^2*(1-x^2)^2*(1-x^3)^2).at n=22A083708
- G.f.: A(x) = exp(sum(n>=1, A084250(n)*x^n/n)), where A084250 lists the least distinct positive integers that allow A(x) to be an integer power series.at n=35A084251
- Sizes of successive increasing gaps between 3-smooth numbers.at n=37A084788
- Smallest k such that k and k+n have the same prime signature that is different from all previous terms.at n=20A085876
- McKay-Thompson series of class 6E for the Monster group with a(0) = 3.at n=43A105559
- Expansion of chi(-q^3) / chi^3(-q) in powers of q where chi() is a Ramanujan theta function.at n=21A128128
- McKay-Thompson series of class 6E for the Monster group with a(0) = -5.at n=43A128632
- McKay-Thompson series of class 6E for the Monster group with a(0) = 4.at n=43A128633
- Expansion of f(q, q^2) * f(-q^3) / f(-q^2)^2 in powers of q where f(, ), f() are Ramanujan theta functions.at n=42A132180
- Expansion of chi(q)^3 / chi(q^3) in powers of q where chi() is a Ramanujan theta function.at n=42A132972
- Expansion of b(q) / b(q^2) in powers of q where b() is a cubic AGM theta function.at n=42A141094
- Number of integers in [1..A112141(n)] that are multiples of the first n semiprimes, where A112141(n) is the product of the first n semiprimes.at n=4A166483