13769
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
- 6
- Divisor Sum
- 16074
- Proper Divisor Sum (Aliquot Sum)
- 2305
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11760
- Möbius Function
- 0
- Radical
- 1967
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 58
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of n-step self-avoiding walks on a Manhattan lattice.at n=16A006744
- exp(tan(x)+log(x+1))=1+2*x+3/2!*x^2+6/3!*x^3+21/4!*x^4+82/5!*x^5...at n=8A012924
- Number of partitions of n into parts not of the form 25k, 25k+8 or 25k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=35A036007
- Moebius transform of A000048 (starting at term 0).at n=19A054174
- Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares.at n=34A064180
- Numbers k such that Euler phi(k) / Carmichael lambda(k) = 14.at n=29A066696
- Row sums of triangle A027420.at n=46A241944
- Numbers n such that the sum of the distinct prime factors of prime(n)-1 and prime(n+1)-1 are the same.at n=9A259562
- Molien series for invariants of finite Coxeter group A_8.at n=61A266777
- a(1) = 1, a(2) = 2; for n > 2, a(n) is the smallest positive number that has not yet appeared whose string value contains all the distinct prime factors of a(n-1). Overlapping factor strings is allowed.at n=42A365500
- a(n) = A086330(prime(n)).at n=39A371035
- Number of one-sided polybends with n cells.at n=16A392390