13054
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20088
- Proper Divisor Sum (Aliquot Sum)
- 7034
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6360
- Möbius Function
- -1
- Radical
- 13054
- 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
- 76
- 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
- yes
- Odd
- no
Appears in sequences
- Denominators of continued fraction convergents to sqrt(520).at n=7A041995
- Numbers n such that n and the n-th prime have the same digits.at n=39A074350
- Antidiagonal sums of square table A086623.at n=12A086625
- a(n) = (1/3)*n^3 - n^2 - (1/3)*n - 1.at n=35A109620
- Total number of parts of multiplicity 3 in all partitions of n.at n=38A117524
- Numbers n such that sigma(2*phi(n)) = 2*sigma(n).at n=9A137733
- a(n) is the number of Dyck paths of semilength n without height of peaks 0 (mod 3) and height of valleys 1 (mod 3).at n=13A152172
- Table which contains in row n the mapping of the n-th block of 4 primes to 4 integers.at n=22A162156
- Irregular triangle T(n,k) read by rows: number of orbits of size 2^k on Dyck n-paths.at n=41A175137
- Number of Dyck paths of semilength n which satisfy the condition: number of returns + number of hills < number of peaks.at n=10A217539
- Expansion of 1/(1 - x + x^2 - x^3 - x^6 - x^9 + x^10 - x^11 + x^12).at n=49A225499
- Sphenic numbers (A007304) whose neighbors are sphenic.at n=29A248202
- a(n) = (1/4)*(n^2 - 2*n)^2 + (9/4)*(n^2 - 2*n) + 6.at n=15A294070
- a(1)=1, a(2)=6; for n > 2, a(n) is the smallest unused positive number such that gcd(a(n-1)+n, a(n)) > 1, gcd(a(n-1), a(n)) > 1, and gcd(n, a(n)) > 1.at n=60A349492