3101
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 5
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3552
- Proper Divisor Sum (Aliquot Sum)
- 451
- 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
- 2652
- Möbius Function
- 1
- Radical
- 3101
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 154
- 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
- Expansion of g.f.: (1+x^3)*(1+x^4)/((1-x)*(1-x^2)^2*(1-x^4)).at n=41A004657
- a(n) = (n^3 + 2*n)/3.at n=21A006527
- Number of strict n-node animals on cubic lattice.at n=4A007193
- Number of planted identity trees where non-root, non-leaf nodes an even distance from root are of degree 2.at n=18A007560
- Coordination sequence T2 for Zeolite Code LOV.at n=37A008135
- Coordination sequence T4 for Zeolite Code ZON.at n=39A009922
- Numbers k such that the continued fraction for sqrt(k) has period 34.at n=38A020373
- Number of terms in n-th derivative of a function composed with itself 6 times.at n=8A022814
- Coordination sequence T3 for Zeolite Code MWW.at n=37A024988
- Number of T-frame polyominoes with n cells.at n=35A028247
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 7 (most significant digit on left).at n=41A029452
- Square root of A030688.at n=30A030689
- Numbers k such that 231*2^k+1 is prime.at n=41A032492
- Coordination sequence T1 for Zeolite Code SBS.at n=44A033608
- Positive numbers having the same set of digits in base 4 and base 10.at n=27A037428
- Coordination sequence T6 for Zeolite Code ESV.at n=37A038413
- Numbers k such that the string 2,5 occurs in the base 9 representation of k but not of k-1.at n=42A044274
- Numbers n such that string 0,1 occurs in the base 10 representation of n but not of n-1.at n=33A044333
- Numbers n such that string 0,1 occurs in the base 10 representation of n but not of n+1.at n=33A044714
- a(n+1)^2 is next smallest nontrivial square beginning with a(n)^2, initial square is 9.at n=2A048562