17863
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 17864
- 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
- 17862
- Möbius Function
- -1
- Radical
- 17863
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 97
- 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
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 2048
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of stacks, or arrangements of n pennies in contiguous rows, each touching 2 in row below.at n=33A001524
- a(n) = prime(2^n).at n=11A033844
- Denominators of continued fraction convergents to sqrt(602).at n=9A042155
- Primes p such that number of primes produced according to rules stipulated in Honaker's A048853 is 2.at n=4A050664
- Least prime in A031936 (lesser of 18-twins) whose distance to the next 18-twin is 2*n.at n=29A052358
- Prime number spiral (clockwise, North spoke).at n=23A054551
- Irregular primes with irregularity index three.at n=28A060975
- pi(n) is a power of 2, where pi(n) = A000720(n) is the number of primes <= n.at n=43A073798
- Numbers that begin a run of consecutive integers k such that PrimePi(k) divides 2^k.at n=10A073799
- a(n) = 2^n + 4^n + 7^n.at n=5A074534
- Final terms of rows of A077321.at n=38A077323
- Numbers k such that h(k) = h(k-1) + h(k-2), where h(k) = A006577(k) + 1 is the length of the sequence {k, f(k), f(f(k)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=25A078418
- Numbers n such that h(n) = 2 h(n-1) where h(n) is the length of the sequence {n, f(n), f(f(n)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.)at n=28A078419
- Primes which are the sum of three 5th powers.at n=6A085319
- Primes such that successive differences are distinct palindromes.at n=41A087582
- a(n) = prime(2^prime(n)).at n=4A096321
- Smallest prime equal to the sum of n distinct squares.at n=35A100559
- Indices of primes in sequence defined by A(0) = 91, A(n) = 10*A(n-1) + 31 for n > 0.at n=6A101006
- Duplicate of A085319.at n=6A123032
- Prime numbers n such that n^2 +- (n-1) are primes.at n=40A137459