13175
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17856
- Proper Divisor Sum (Aliquot Sum)
- 4681
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9600
- Möbius Function
- 0
- Radical
- 2635
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 169
- 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 binary [ n,3 ] codes without 0 columns.at n=29A034344
- Composite numbers k such that digits in k and in juxtaposition of prime factors of k are the same (apart from multiplicity).at n=30A035141
- Number of step shifted (decimated) sequences using a maximum of five different symbols.at n=6A056374
- Numbers k such that 4^k - 3 is prime.at n=28A059266
- Numbers k such that k^4 = x^3 + y^2 has an integer solution.at n=35A096741
- a(n) = floor(sqrt(a(n-1)^2 + a(n-2)^2)), a(1)=10, a(2)=30.at n=27A104863
- Multiples of 17 containing a 17 in their decimal representation.at n=27A121037
- a(n) = pq + pr + qr with p = prime(n), q = prime(n+1), and r = prime(n+2).at n=17A127345
- Composites in A127345.at n=8A127347
- Square array a(m,n) read by antidiagonals, defined by A000010(n)*a(m,n) = Sum_{k=1..n, gcd(k,n)=1} m^{ Sum_{d|n} A000010(d)/ (multiplicative order of k modulo d) }.at n=59A132191
- a(n) = n-th odd nonprime * n-th odd number.at n=42A163506
- Number of 7 X n arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..1 7 X n array.at n=12A220037
- The number of primes of the form i^2+j^4 (A028916) <= 10^n.at n=6A226497
- Nonprime terms in A210494.at n=14A230214
- Numbers k such that k*floor(2^k/k) + 1 is prime.at n=51A270427
- Positive integers that are square roots of products a*(a+d)*(a+2*d) with coprime a > 0, d >= 0.at n=9A284876
- Composite numbers that are anagrams of the concatenation of their prime factors.at n=6A306474
- Number of partitions of n having a non-integer median.at n=45A307683
- Duplicate of A307683.at n=45A325348
- Denominator of harmonic mean of 3 consecutive primes. Numerators are A331259.at n=17A331260