5161
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5572
- Proper Divisor Sum (Aliquot Sum)
- 411
- 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
- 4752
- Möbius Function
- 1
- Radical
- 5161
- Omega Function (Ω)
- 2
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 116
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Powers of cube root of 2 rounded to nearest integer.at n=37A017980
- Powers of cube root of 2 rounded up.at n=37A017981
- Pseudoprimes to base 34.at n=39A020162
- Pseudoprimes to base 35.at n=20A020163
- Pseudoprimes to base 63.at n=18A020191
- Strong pseudoprimes to base 63.at n=10A020289
- Numbers k such that the continued fraction for sqrt(k) has period 63.at n=7A020402
- a(n) = n^4 - 6*n^3 + 12*n^2 - 4*n + 1.at n=10A027382
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=29A031800
- Partial sums of A048694.at n=8A048770
- a(n) = Sum_{i=0..2n} (-1)^i * T(i,2n-i), array T as in A048149.at n=40A049713
- McKay-Thompson series of class 36C for Monster.at n=36A058646
- Sums of nonconsecutive factorial numbers.at n=30A060112
- Positions of the permutations which have the same rank in A055089 and A060118, i.e., the fixed points of permutations A060120 and A060127.at n=46A060133
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).at n=20A063352
- Semiprimes p1*p2 such that p2>p1 and p2 mod p1 = 7.at n=23A064905
- Let b(1)=1, b(2)=2, b(n) = sum of digits of b(1)+b(2)+b(3)+...+b(n-1), sequence gives values of n such that b(n)=3.at n=21A084229
- Least number that ends an arithmetic progression of n numbers with the same prime signature.at n=10A087309
- Square array, read by antidiagonal: T(n,k) = n*T(n,k-1)+(-1)^k*T(n,floor(k/2)).at n=48A089141
- Least number that ends an arithmetic progression of n numbers with the same number of divisors.at n=10A090548