3417
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4896
- Proper Divisor Sum (Aliquot Sum)
- 1479
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2112
- Möbius Function
- -1
- Radical
- 3417
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 56
- 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
- no
- Odd
- yes
Appears in sequences
- Related to Gilbreath conjecture.at n=23A001549
- Numbers k such that 9*2^k + 1 is prime.at n=29A002256
- Hexagonal pyramidal numbers, or greengrocer's numbers.at n=17A002412
- Expansion of 1/((1-x)^4*(1+x)).at n=32A002623
- Coordination sequence T2 for Zeolite Code MTN.at n=35A008187
- Odd hexagonal pyramidal numbers.at n=8A015225
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=32A023855
- a(n) = position of n^3 + (n+1)^3 + (n+2)^3 in A024975.at n=21A024980
- a(n) = (d(n)-r(n))/2, where d = A026063 and r is the periodic sequence with fundamental period (1,1,0,1).at n=24A026064
- Convolution of Thue-Morse sequence A001285 with A008578 = {1, primes}.at n=35A029896
- Product of n with 666 is palindromic.at n=21A030094
- "CFK" (necklace, size, unlabeled) transform of 1,2,3,4...at n=14A032141
- Odd composite numbers n such that the digit sum of n equals digit sum of sum of its prime factors (counted with multiplicity).at n=41A036923
- Numbers whose base-15 representation has exactly 4 runs.at n=25A043671
- Numbers n such that string 1,7 occurs in the base 10 representation of n but not of n-1.at n=38A044349
- Numbers n such that string 1,7 occurs in the base 10 representation of n but not of n+1.at n=38A044730
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(17)).at n=35A052479
- Expansion of 1/(1 - 3*x^2 - x^3).at n=14A052931
- Numbers k such that k | sigma_11(k).at n=14A055715
- a(n) = 3*n*(4*n-1).at n=17A062783