5175
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 9672
- Proper Divisor Sum (Aliquot Sum)
- 4497
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2640
- Möbius Function
- 0
- Radical
- 345
- Omega Function (Ω)
- 5
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 147
- 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
- a(n) = ceiling(n*phi^11), where phi is the golden ratio, A001622.at n=26A004966
- a(n) = (2*n - 7)*n^2.at n=15A015242
- Expansion of e.g.f. theta_3^(5/2).at n=6A015666
- n written in fractional base 9/5.at n=50A024653
- 5 times triangular numbers: a(n) = 5*n*(n+1)/2.at n=45A028895
- a(n) = n*(2*n+5)*(2*n+7).at n=9A035329
- Product of n with sum of next n consecutive integers.at n=14A036659
- Number of nonempty subsets of {1,2,...,n} in which exactly 4/5 of the elements are <= (n-3)/3.at n=31A048035
- Duplicate of A049029.at n=11A048897
- Triangle read by rows, the Bell transform of the quartic factorial numbers A007696(n+1) without column 0.at n=11A049029
- n is odd and sum of digits of n equals the numbers of divisors of n.at n=27A057532
- Numbers k such that k and its reversal are both multiples of 15.at n=18A062905
- Non-palindromic number and its reversal are both multiples of 15.at n=13A062914
- Numbers beginning and ending with their multiplicative digital root.at n=27A064704
- Group successively larger composite numbers so that the sum of the n-th group is a multiple of n. Sequence gives the sum of the terms in the n-th group.at n=24A074120
- a(n) = n*(n+2)*(n-2)/3.at n=23A077415
- Least area/6 of primitive Pythagorean triangles with even leg 4n.at n=24A096898
- Let M be a diagonal matrix with A007442 on the diagonal and P = Pascal's triangle as an infinite lower triangular matrix. Now read the triangle P*M by rows.at n=63A124800
- Numbers k such that k and k+5 are 5-almost primes.at n=15A124942
- Numbers k such that binomial(5k, k) - 1 is prime.at n=12A125242