13741
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 17024
- Proper Divisor Sum (Aliquot Sum)
- 3283
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10800
- Möbius Function
- -1
- Radical
- 13741
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Euler transform of A000292.at n=9A000335
- Fermat pseudoprimes to base 2, also called Sarrus numbers or Poulet numbers.at n=26A001567
- Pseudoprimes to base 33.at n=36A020161
- Pseudoprimes to base 66.at n=34A020194
- Strong pseudoprimes to base 16.at n=41A020242
- Strong pseudoprimes to base 75.at n=23A020301
- a(n) = T(n,n+2), T given by A027023.at n=13A027024
- Numbers whose set of base-15 digits is {1,4}.at n=22A032827
- Numerators of continued fraction convergents to sqrt(184).at n=10A041340
- Composite numbers k which divide A001045(k-1).at n=20A066488
- Sarrus numbers n (A001567) which satisfy mu(n) = -1 and which are not Super-Poulet numbers (A050217).at n=13A074380
- Sarrus numbers with more than 2 distinct prime factors.at n=14A080747
- Numbers k such that 7*10^k + 5*R_k - 4 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=21A103060
- Numbers n such that 9*10^n + 5*R_n + 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=7A103102
- Number of partitions that are "3-close" to being self-conjugate.at n=43A108962
- Least k such that 10^n + k is a Sophie Germain prime and the lesser of a twin prime pair.at n=16A118580
- Numbers k such that the k-th triangular number contains only digits {1,4,9}.at n=4A119131
- a(n) = (3*n+1)*(5*n+1).at n=30A144459
- Sarrus numbers A001567 that are not Carmichael numbers A002997.at n=18A153508
- Products of three distinct primes of the form 6*k + 1.at n=29A154729