17082
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
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 40404
- Proper Divisor Sum (Aliquot Sum)
- 23322
- 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
- 5694
- 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
- 66
- 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
- Triangle of multi-edge stars with n edges by cyclotomic index.at n=72A010358
- a(n) = 2^n + 3^n + 7^n.at n=5A074529
- G.f. A(x) satisfies A(x) = 1 + x*A(x)^5*A(-x)^3.at n=7A143553
- Numbers k which use half of the ten digits such that they have at least one factorization k=p*q that uses remaining half of the digits that are not in k.at n=3A195814
- Number of partitions of n containing at least one part m-5 if m is the largest part.at n=37A212545
- Volume of Johnson square pyramid placed upright on cube (rounded down) with edge lengths equal to n.at n=23A227221
- Number of ballot sequences of length n having 3 largest parts.at n=10A244100
- Number of nonnegative integers with property that their base 6/5 expansion (see A024638) has n digits.at n=47A245399
- Numbers n = p * q, where n, p, and q together contain all 10 digits at least once.at n=3A253172
- Values n, where n = p * q, and n, p, and q together contain all 10 digits at least once, and no digit is in more than one of n, p or q.at n=3A253173
- 25-gonal numbers: a(n) = n*(23*n-21)/2.at n=39A255184
- Number T(m,n) of series-reduced free trees with n nodes of which exactly m >= 3 are leaves, m+1 <= n <= 2m-2.at n=101A271205
- Somos's sequence {a(8,n)} defined in comment in A018896: a(0)=a(1)= ... = a(17) = 1; for n>=18, a(n) = (a(n-1)*a(n-17)+ a(n-9)^2)/a(n-18).at n=42A271838
- Number of compositions of n where the difference between largest and smallest parts equals two.at n=15A323119
- Primitive terms of A359565: terms of A359565 with no proper divisor in A359565.at n=40A359566
- Primitive terms of A259850.at n=35A361363
- Expansion of (1/x) * Series_Reversion( x * ((1-x)^2-x^3)^2 ).at n=5A369511
- Numbers k which have a factorization k = f1*f2*...*fr where the digits of {k, f1, f2, ..., fr} together give 0,1,...,9 exactly once.at n=13A370970
- Composite numbers with properties that its digits (which may appear with multiplicity) may not appear in any of its factors (wherein the digits may also appear with multiplicity) and the combined digits of the product and the factors must have at least one of each of the ten digits.at n=21A370972
- Numbers k which have a factorization k = f_1*f_2*...*f_r where f_i >= 1 and the digits of {k, f_1, f_2, ..., f_r} together give 0,1,...,9 exactly once.at n=29A372259