2447
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 2448
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 2446
- Möbius Function
- -1
- Radical
- 2447
- 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
- 133
- 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
- 363
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p == 7, 19, 23 (mod 40) such that (p-1)/2 is also prime.at n=20A000353
- Coefficients of Airey's converging factor.at n=8A001662
- Numbers that are the sum of 7 positive 7th powers.at n=10A003374
- Safe primes p: (p-1)/2 is also prime.at n=42A005385
- Minimal number of moves for the cyclic variant of the Towers of Hanoi for 3 pegs and n disks, with the final peg one step away.at n=8A005665
- a(n) = n^2 + 3*n - 1.at n=48A014209
- Numbers n such that phi(n + 9) | sigma(n) for n not congruent to 0 (mod 3).at n=41A015849
- Numbers k such that the continued fraction for sqrt(k) has period 32.at n=36A020371
- Smallest nonempty set S containing prime divisors of 9k+5 for each k in S.at n=25A020627
- Place where n-th 1 occurs in A023127.at n=44A022789
- Primes that remain prime through 2 iterations of function f(x) = 8x + 7.at n=21A023263
- Primes that remain prime through 2 iterations of function f(x) = 10x + 3.at n=47A023269
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n+1-k), where k = [ (n+1)/2 ], s = A000201 (lower Wythoff sequence).at n=21A024685
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = [ n/2 ], s = A000201 (lower Wythoff sequence).at n=20A025118
- Positions of records in A030707.at n=44A030712
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 49.at n=4A031547
- a(n) = prime(9*n - 6).at n=40A031913
- a(n) = prime(10*n-7).at n=36A031917
- Lower prime of a difference of 12 between consecutive primes.at n=23A031930
- Arrange digits of cubes in ascending order.at n=14A032553