17034
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
- 16
- Divisor Sum
- 36288
- Proper Divisor Sum (Aliquot Sum)
- 19254
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5312
- Möbius Function
- 1
- Radical
- 17034
- 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
- 128
- 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
- Number of index n subgroups of modular group PSL_2(Z).at n=16A005133
- Numbers k such that 19*2^k+1 is prime.at n=13A032359
- Number of partitions of n in which no parts are multiples of 5.at n=40A035959
- Numbers whose base-4 representation contains exactly three 0's and four 2's.at n=22A045056
- Numbers which are the sum of their proper divisors containing the digit 8.at n=8A059467
- Multiples of 17 containing a 17 in their decimal representation.at n=33A121037
- Moessner triangle using the Fibonacci terms.at n=19A125752
- Minimal value of A007947(m*(7^n-m)) with m coprime to 7.at n=6A147799
- 6 times heptagonal numbers: a(n) = 3*n*(5*n-3).at n=34A153786
- Numbers k such that if x = sigma(k) + tau(k) - k then k = sigma(x) + tau(x) - x.at n=16A238226
- a(n) = prime(n+1)^2 - prime(n).at n=30A261465
- Number of set partitions of [n] where sizes of distinct blocks are coprime.at n=10A280275
- Number of n X 3 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero.at n=7A298282
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero.at n=47A298287
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 6 or 7 king-move adjacent elements, with upper left element zero.at n=47A299180
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero.at n=47A299359
- T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 6, 7 or 8 king-move adjacent elements, with upper left element zero.at n=47A299942
- Numbers k such that the determinant of the Vandermonde matrix of their digits is equal to sigma(k), the sum of divisors of k.at n=6A307586
- 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=4A320457
- Number of (binary) max-heaps on n elements from the set {0,1} containing exactly five 0's.at n=34A326506