14153
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 14154
- 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
- 14152
- Möbius Function
- -1
- Radical
- 14153
- 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
- 151
- 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
- yes
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1666
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of minimal 3-polyhedra with n edges.at n=17A006868
- Numbers k such that the continued fraction for sqrt(k) has period 71.at n=7A020410
- Primes of the form k^2 - 8.at n=26A028886
- a(n) = smallest number > a(n-1) such that a(1)*a(2)*...*a(n) + 1 and a(1)*a(2)*...*a(n) - 1 are primes.at n=34A051956
- Primes whose digits can be rearranged to give the initial terms of the decimal expansion of Pi.at n=5A052493
- Primes p such that x^61 = 2 has no solution mod p.at n=29A059230
- Smallest prime which is the sum of n consecutive primes, or 0 if no such prime exists.at n=56A070281
- Smallest prime equal to the sum of 2n+1 consecutive primes.at n=28A070934
- Smallest odd prime that is the sum of 2n+1 consecutive primes.at n=28A082244
- Coefficients of the B-Rogers mod 14 identity.at n=40A105781
- Numbers k such that 22446688 * 10^k + 1 is prime.at n=11A107280
- Squares of the norms of Gaussian primes from A107629.at n=32A107630
- Positive integers of the form (18*m^2+1)/11.at n=16A113338
- Larger of two consecutive Sophie Germain primes with the same digital sum.at n=34A118507
- a(n) is the smallest integer k such that the n-th (forward) difference of the partition sequence A000041 is positive from k onwards.at n=29A119712
- Primes p such that q = p+d (with d >= 6) is the next prime and both p and q are Sophie Germain primes.at n=27A128825
- Primes of the form 2*3*5*7*n+83.at n=35A141570
- Primes congruent to 6 mod 43.at n=39A142255
- Primes congruent to 6 mod 47.at n=35A142357
- Primes congruent to 41 mod 49.at n=37A142449