17612
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 38304
- Proper Divisor Sum (Aliquot Sum)
- 20692
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6912
- Möbius Function
- 0
- Radical
- 8806
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 141
- 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
- Number of partitions of n into parts not of the form 9k, 9k+4 or 9k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 3 are greater than 1.at n=47A035943
- Least k such that 3^k has exactly n consecutive 8's in its decimal representation.at n=7A131545
- Number of partitions of n into parts that are odd or == +- 4 mod 10.at n=48A134157
- Partial sums of A002522, starting at n=1.at n=36A145066
- Sum_{j=k(n)..prime(n)} j where k is the n-th nonprime nonnegative integer.at n=44A161669
- Number of (n+1) X 4 0..3 arrays with every 2 X 2 subblock summing to 6.at n=4A183636
- Number of (n+1) X 6 0..3 arrays with every 2 X 2 subblock summing to 6.at n=2A183638
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 6.at n=23A183642
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 6.at n=25A183642
- Number of maximal cliques in the n X n queen graph.at n=28A288947
- Sum of the largest parts of the partitions of n into 5 parts.at n=39A308827
- a(n) = n! * [x^n] Product_{k=1..n, gcd(n,k) = 1} 1 / (1 - x^k/k).at n=7A338437
- Numbers with sum of digits equaling 17, divisible by 17, and containing the string "17".at n=4A346904
- The total length of the sequence when starting from n and creating the smallest unused prime number by either removing or adding a single digit anywhere in the value of the previous number. If the sequence does not terminate, a(n) = -1.at n=3A389927