15774
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
- 34560
- Proper Divisor Sum (Aliquot Sum)
- 18786
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4760
- Möbius Function
- 1
- Radical
- 15774
- 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
- 177
- 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
- a(n) = n*(29*n - 1)/2.at n=33A022286
- a(0)=0, a(1)=1, a(2)=2; for n > 2, a(n) = 3*a(n-1) - a(n-2) - 2*a(n-3).at n=14A027934
- Number of self-avoiding walks of length n on hypertriangular lattice.at n=6A046945
- Number of compositions of n with at least 1 odd and 1 even part.at n=14A097895
- Number of P-equivalence classes of canalizing functions with n variables.at n=5A109460
- Numbers k such that 2*6^k + 1 is prime.at n=29A120023
- Values of m such that binomial(m, a) + binomial(m, b) divides binomial(m, a + b) for some distinct nonnegative integers a and b with a + b <= m.at n=17A140601
- Values of m for which C(m,k) + C(m,k+2) divides C(m,2k+2) for some nonnegative integer k with 2k+2 <= m.at n=6A140603
- Triangle of coefficients of polynomials u(n,x) jointly generated with A210194; see the Formula section.at n=49A210193
- Numbers k such that if x = sigma(k) + tau(k) - k then k = sigma(x) + tau(x) - x.at n=15A238226
- Numbers n such that there is both a square and a triangular number strictly between n^3 and n^3+n.at n=0A246042
- E.g.f.: Sum_{n>=0} x^n/n! * Product_{k=1..n} (n+1-k) + k*x.at n=6A316370
- Lesser members of dihedral amicable pairs: numbers (m, k) such that t(m) = t(k) = m + k, where t(k) = sigma(k) + d(k).at n=3A320457
- Positive integers which can be written in two bases smaller than 10 as mutually-reversed strings of digit(s).at n=27A336733
- Irregular triangle where the n-th row list the positive integers which can be written in two bases smaller than n as mutually-reversed strings of digit(s), for n>=4.at n=54A336768