16249
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16250
- 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
- 16248
- Möbius Function
- -1
- Radical
- 16249
- 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
- 1888
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = n^3 + n^2 - 1.at n=24A003777
- Primes that remain prime through 3 iterations of function f(x) = 2x + 5.at n=37A023274
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 98 ones.at n=12A031866
- Multiplicity of highest weight (or singular) vectors associated with character chi_7 of Monster module.at n=46A034395
- Sum of a(n) terms of 1/k^(8/9) first exceeds n.at n=18A056185
- Primes p for which the period of reciprocal 1/p is (p-1)/12.at n=19A056217
- Primes with 17 as smallest positive primitive root.at n=16A061329
- Primes expressible as the sum of (at least two) consecutive primes in at least 3 ways.at n=31A067379
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={0,1}.at n=15A079994
- Sum of largest parts (counted with multiplicity) of all partitions of n into odd parts.at n=38A092310
- Least j > 1 for n > 0 such that j^2 = (n^2 + 1)*(k^2) + (n^2 + 1)*k + 1 where k sequence = A106230.at n=25A106229
- Sum of primes p with n^2 < p < (n+1)^2.at n=41A108314
- Numbers n such that n-th and (n+1)-th primes are in A125146.at n=7A128120
- Records in A134204.at n=30A133244
- Primes of the form 2*3*5*7*n+79.at n=37A141563
- Primes congruent to 31 mod 53.at n=35A142561
- Primes congruent to 24 mod 59.at n=30A142751
- Primes congruent to 23 mod 61.at n=31A142821
- Primes p such that p+p^2+p^3-+2 are also prime.at n=27A154821
- Primes of the form Sum_{k=1..m} (m^k mod (m-k+1)).at n=38A156559