15552
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 42
- Divisor Sum
- 46228
- Proper Divisor Sum (Aliquot Sum)
- 30676
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 6
- Omega Function (Ω)
- 11
- Little Omega Function (ω)
- 2
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
- 102
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- yes
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Number of ways of folding a 3 X n strip of stamps.at n=4A001416
- Index of (the image of) the modular group Gamma(n) in PSL_2(Z).at n=35A001766
- Numbers that are the sum of 2 positive 5th powers.at n=20A003347
- Numbers that are the sum of at most 2 positive 5th powers.at n=27A004842
- Highly powerful numbers: numbers with record value of the product of the exponents in prime factorization (A005361).at n=19A005934
- Theta series of direct sum of 3 copies of hexagonal lattice.at n=34A008654
- a(n) = Product_{i=0..7} floor((n+i)/8).at n=27A009694
- Positive numbers k such that k = x^5 + y^5 has a solution in nonzero integers x, y.at n=37A020896
- Numbers of form 2^i*6^j, with i, j >= 0; equivalently, numbers of the form 2^i*3^j with 0 <= j <= i.at n=47A025610
- Numbers of form 3^i*4^j, with i, j >= 0.at n=38A025613
- Numbers of form 3^i*8^j, with i, j >= 0.at n=27A025615
- Ratios of successive terms are 2, 3, 2, 3, 2, 3, 2, 3, ...at n=11A026549
- Number of partitions of n in which the least part is odd.at n=35A026804
- Number of primitive polynomials of degree n over GF(4).at n=9A027695
- 4-full numbers: if a prime p divides k then so does p^4.at n=28A036967
- Denominators of continued fraction convergents to sqrt(519).at n=11A041993
- Numbers whose base-4 representation contains exactly four 0's and three 3's.at n=13A045084
- Obtainable by applying +, * and exponentiation to its own digits.at n=20A046469
- a(n) = floor(a(n-1)/3) if this is positive and not yet in the sequence, otherwise a(n) = 6*a(n-1).at n=41A050088
- a(n) = n^2 * phi(n).at n=35A053191