13997
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 29
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 13998
- 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
- 13996
- Möbius Function
- -1
- Radical
- 13997
- 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
- yes
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1651
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Coordination sequence for MgNi2, Position Mg1.at n=29A009936
- Numbers k such that the continued fraction for sqrt(k) has period 77.at n=19A020416
- Primes that remain prime through 3 iterations of function f(x) = 2x + 3.at n=25A023273
- Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes.at n=30A035790
- Numerators of continued fraction convergents to sqrt(719).at n=9A042384
- Open 3-dimensional ball numbers (version 1): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (0,0,0).at n=30A053592
- a(n) = ceiling(binomial(n,9)/n).at n=20A053733
- Lesser of twin primes whose average is 6 times a prime.at n=36A060213
- Primes with 2 representations: p*q*r - 1 = u*v*w + 1 where p, q, r, u, v and w are primes.at n=36A063644
- Lowest primes in twin packs.at n=37A069457
- Smallest number requiring n steps to reach 0 when iterating the function: f(n)=abs(lpd(n)-Lpf(n)), where lpd(n) is the largest proper divisor of n and Lpf(n) is the largest prime factor of n.at n=13A074347
- Number of solutions to x^2 + y^2 + z^2 < n^2; number of lattice points inside a sphere of radius n.at n=15A078183
- Primes p such that both p-1 and p+1 have at most 3 prime factors, counted with multiplicity; i.e., primes p such that bigomega(p-1) <= 3 and bigomega(p+1) <= 3, where bigomega(n) = A001222(n).at n=42A079153
- Near twin primes of order 12: twin primes p,p+2 such that p+12 and p+14 are primes.at n=40A079292
- Primes with digit sum = 29.at n=32A106766
- Primes p such that p's set of distinct digits is {1,3,7,9}.at n=9A108386
- a(n) = number of terms in s(n), where s(n) is defined in A096055.at n=13A112306
- Lesser of a twin-prime pair where both are expressible as the sum of two triangular numbers.at n=27A118638
- Prime quartet leaders: largest number of a prime quartet.at n=32A119892
- a(n) = 14 + floor( (1 + Sum_{j=0..n-1} a(j)) / 2).at n=17A120141