5156
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 9030
- Proper Divisor Sum (Aliquot Sum)
- 3874
- 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
- 2576
- Möbius Function
- 0
- Radical
- 2578
- 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
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence T5 for Zeolite Code MEL.at n=46A008154
- Twelve iterations of Reverse and Add are needed to reach a palindrome.at n=34A015993
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite PAU = Paulingite (K2,Ca,Na2)76[Al152Si520O1344] starting with a T8 atom.at n=5A019056
- Numbers k such that the continued fraction for sqrt(k) has period 58.at n=32A020397
- Positive numbers having the same set of digits in base 7 and base 8.at n=42A037438
- a(n) is the number of (2n+1)-digit palindromic primes that undulate.at n=5A057332
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 81 ).at n=27A063354
- a(n) = A064837(n)/2.at n=8A064838
- Numbers which need 12 'Reverse and Add' steps to reach a palindrome.at n=34A065217
- Number of knot diagrams of type 2PI with n crossings and two outgoing strings.at n=9A067648
- a(0)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)= 1/a(0)+1/a(1)+1/a(2)+...+1/a(n) equals 2n.at n=38A070898
- First minimum value > 0 of the form x^3-k^2 when k > n^3.at n=16A070959
- a(n) = (1/12)*(n+1)*(n^3+19*n^2+118*n+228).at n=12A092327
- Numbers n such that (sigma(n-2)+sigma(n+2))/2 = sigma(n).at n=19A099631
- Index of the first occurrence of A019565(2n-1) in sequence A103790.at n=21A103791
- Square root of pi(A064523(n)).at n=10A115835
- Indices where A138554 requires only squares < floor(sqrt(n))^2.at n=27A138555
- Square array A(n,m), n>=0, m>=0, read by antidiagonals: A(n,m) = n-th number of the m-th iteration of the hyperbinomial transform on the sequence of 1's.at n=49A144303
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 0, 1), (0, -1, 1), (1, 1, 0)}.at n=8A149134
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, -1), (-1, 1, 1), (1, 0, 0), (1, 0, 1)}.at n=7A150315