16267
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
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 16268
- 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
- 16266
- Möbius Function
- -1
- Radical
- 16267
- 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
- 128
- 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
- 1890
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Sum of Fermat coefficients.at n=12A000967
- Discriminants of imaginary quadratic fields with class number 23 (negated).at n=33A046020
- Primes of the form n^3 + n^2 + 17, for nonnegative values of n.at n=20A050266
- Prime numbers which when written in base 7 have a composite digit-sum.at n=29A096790
- Round(1000*x), where x is the solution to x = 5^(n-x).at n=18A104744
- Primes of the form A108656(n-2)*n^2+A108656(n-1)*n+A108656(n).at n=37A108657
- The (1,6)-entry of the matrix M^n, where M is the 6 X 6 matrix {{1, 1, 1, 1, 1, 1},{1, 0, 0, 0, 1, 0},{1, 0, 0, 1, 0, 0},{1, 0, 1, 0, 0, 0},{1, 1, 0, 0, 0, 0}, {1, 0, 0, 0, 0, 0}}.at n=10A122365
- Number of numerical semigroups with Frobenius number n; that is, numerical semigroups for which the largest integer not belonging to them is n.at n=27A124506
- Numbers k such that A127483(k) = A127483(k+1) - 1 = A127483(k+2) - 2 = A127483(k+3) - 3.at n=5A127486
- Numbers k such that A098572(k) - A098572(k-1) = 2.at n=47A133497
- Primes of the form 2*3*5*7*k + 97.at n=39A141899
- Primes congruent to 49 mod 53.at n=34A142579
- Primes congruent to 42 mod 59.at n=36A142769
- Primes congruent to 41 mod 61.at n=31A142839
- Primes p such that p+p^2+p^3-+2 are also prime.at n=28A154821
- Primes p such that p plus or minus the sum of the fourth powers of its digits is a prime in both cases.at n=19A179595
- Integer nearest (1/n)*(r^n), where r = golden ratio = (1 + sqrt(5))/2.at n=26A181885
- Smallest of three consecutive primes whose sum is a square.at n=10A206279
- Pairs of consecutive primes {p,q} for which the numbers of distinct residues of all factorials mod p and mod q coincide.at n=28A210242
- Smallest of four consecutive primes whose average is a triangular number.at n=19A226155