3706
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5940
- Proper Divisor Sum (Aliquot Sum)
- 2234
- 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
- 1728
- Möbius Function
- -1
- Radical
- 3706
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 131
- 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
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=38A005891
- Almost-convex polygons of perimeter 2n on square lattice.at n=2A007221
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=48A011910
- Number of partitions of n into distinct parts, none being 3.at n=55A015745
- Coordination sequence T2 for Zeolite Code TER.at n=41A016434
- Coordination sequence T5 for Zeolite Code TER.at n=41A016437
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted then there are a pair of central terms both equal to 7.at n=9A031420
- Trajectory of 1 under map n->19n+1 if n odd, n->n/2 if n even.at n=25A033966
- Trajectory of 3 under map n->19n+1 if n odd, n->n/2 if n even.at n=16A037107
- a(n)=(s(n)+1)/8, where s(n)=n-th base 8 palindrome that starts with 7.at n=33A043071
- Composite numbers whose 3 prime factors are distinct in length.at n=30A046443
- a(n) = A047881(n) / 2.at n=26A047882
- Equivalent of the Kurepa hypothesis for left factorial.at n=7A056158
- Number of polyominoes with n cells, symmetric about two orthogonal axes.at n=27A056877
- McKay-Thompson series of class 45b for Monster.at n=44A058686
- a(n) = binomial(n,0) - binomial(n,2) + binomial(n,4).at n=19A058923
- a(n) = prime(n) + n^3 + n^2 + 4n - 1.at n=14A060822
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 88 ).at n=28A063361
- a(n) = 10*n^2 + 5*n + 1.at n=19A080860
- A000041(n)-A000010(n).at n=27A086739