13967
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13968
- 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
- 13966
- Möbius Function
- -1
- Radical
- 13967
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 89
- 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
- 1650
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Primes p such that there is no Carmichael number pqr, p<q<r q, r primes.at n=15A051663
- Numbers k such that 100^k - 99^k is prime.at n=6A062666
- Primes p such that (p-1)/2 and (p-3)/4 are also prime.at n=24A066179
- Number of ways to write n as the arithmetic mean of a set of distinct primes.at n=28A072701
- a(n) = Sum_{i=1..n} 2^(b(i) - 1), where b(n) is the differences between consecutive primes.at n=47A086769
- Primes of the form 16*k-1 such that 4*k-1 and 8*k-1 are also primes.at n=13A101793
- Prime numbers p such that pi(p) + 2*p is a square.at n=15A104783
- prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8*k))/k) = m with m = 9.at n=16A109563
- Number of ways to build a contiguous building with n LEGO blocks of size 1 X 8 on top of a fixed block of the same size so that the building is flat, i.e., with all blocks in parallel position and symmetric after a rotation by 180 degrees.at n=7A123817
- Primes p such that q-p = 30, where q is the next prime after p.at n=14A124596
- Running prime totals of prime factors (without multiplicity) of consecutive composite N.at n=37A140610
- Primes congruent to 27 mod 41.at n=38A142224
- Primes congruent to 35 mod 43.at n=39A142284
- Primes congruent to 8 mod 47.at n=36A142359
- Primes congruent to 28 mod 53.at n=29A142558
- Primes congruent to 52 mod 55.at n=36A142638
- Primes congruent to 43 mod 59.at n=29A142770
- Primes congruent to 59 mod 61.at n=27A142857
- Smaller of two consecutive prime numbers such that p1*p2*d - d = average of twin prime pairs, d (delta) = p2 - p1.at n=2A153378
- Primes with seven embedded primes.at n=31A179915