17476
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 32508
- Proper Divisor Sum (Aliquot Sum)
- 15032
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8192
- Möbius Function
- 0
- Radical
- 8738
- Omega Function (Ω)
- 4
- 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
- 48
- 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 basic invariants for cyclic group of order and degree n.at n=21A002956
- Number of restricted solid partitions of n.at n=19A002974
- E.g.f.: tan(log(1+tan(x))).at n=7A009639
- Numbers whose set of base-16 digits is {1,4}.at n=29A032828
- Numbers whose set of base-16 digits is {3,4}.at n=29A032840
- Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,0.at n=7A033114
- Denominators of continued fraction convergents to sqrt(496).at n=12A041947
- Numbers whose base-4 representation has exactly 8 runs.at n=0A043599
- Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 7.at n=21A043844
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 8.at n=0A043850
- Numbers n such that number of runs in the base 4 representation of n is congruent to 8 mod 9.at n=0A043866
- Numbers k such that number of runs in the base 4 representation of k is congruent to 8 mod 10.at n=0A043875
- Numbers whose base-4 representation contains exactly four 0's and four 1's.at n=14A045037
- Row 4 of array in A047666.at n=14A047668
- a(n) in base 16 is a repdigit.at n=49A048340
- Numbers n such that the Diophantine equation x^4+y^5=n^4 has solutions.at n=31A070756
- Solutions to phi(gpf(x)) - gpf(phi(x)) = 254 = c are special multiples of 257, x = 257k, where largest prime factors of factor k were observed from {2, 3, 5, 17}. See solutions to other even cases of c (=A070813): A007283 for 0, A070004 for 2, A070814 for 14, A070816 for 65534.at n=22A070815
- a(n) = A077211(n)^(1/2).at n=11A077212
- Expansion of 1/((1-2*x)*(1-x^4)).at n=14A083593
- a(n) = A000695(A014486(n)).at n=9A083931