17483
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17484
- Proper Divisor Sum (Aliquot Sum)
- 1
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 17482
- Möbius Function
- -1
- Radical
- 17483
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 48
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- yes
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2011
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Related to number of irreducible stick-cutting problems.at n=19A022541
- Convolution of composite numbers and (F(2), F(3), F(4), ...).at n=14A023649
- Numbers whose base-4 representation has exactly 8 runs.at n=5A043599
- Numbers n such that number of runs in the base 4 representation of n is congruent to 1 mod 7.at n=26A043844
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 8.at n=5A043850
- Numbers n such that number of runs in the base 4 representation of n is congruent to 8 mod 9.at n=5A043866
- Numbers k such that number of runs in the base 4 representation of k is congruent to 8 mod 10.at n=5A043875
- Third member of a sexy prime quadruple: value of p+12 such that p, p+6, p+12 and p+18 are all prime.at n=32A046123
- Third term of balanced prime quartets: p(m-1)-p(m-2) = p(m)-p(m-1) = p(m+1)-p(m).at n=12A054802
- Discriminants of imaginary quadratic fields with class number 25 (negated).at n=29A056987
- a(n) is smallest safe prime (A005385) such that a(n) + 12*n is the next safe prime, i.e., x = (a(n) - 1)/2 and x + 6*n are closest Sophie Germain primes.at n=34A059327
- Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <=6 (i.e., when d=2,4 or 6) and forming d-pattern=[6, 2,6]; short d-string notation of pattern = [626].at n=21A078854
- Primes of the form 2*n^2 + 2*n - 1.at n=30A098828
- Positions of records in A034694.at n=45A120857
- Balanced primes p of the form (r+q+s-1)/2, where r, q, s are consecutive primes.at n=5A129191
- Primes congruent to 46 mod 47.at n=40A142397
- Primes congruent to 46 mod 53.at n=37A142576
- Primes congruent to 19 mod 59.at n=36A142746
- Primes congruent to 37 mod 61.at n=33A142835
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (0, -1, 0), (0, 1, -1), (1, 0, 1)}.at n=9A148925