3658
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 2102
- 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
- 1740
- Möbius Function
- -1
- Radical
- 3658
- 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
- no
- 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
- Expansion of Product_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts.at n=50A000009
- Number of even sequences with period 2n.at n=9A000208
- Number of forests with n unlabeled nodes.at n=13A005195
- Coordination sequence T2 for Zeolite Code BOG.at n=43A008050
- Coordination sequence T3 for Zeolite Code -PAR.at n=43A009857
- a(n) = a(n-1) + a(n-3), with a(0) = a(1) = 1, a(2) = 5.at n=20A011761
- From George Gilbert's marks problem: jumping 7 marks at a time (initial positions).at n=19A019997
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A004432.at n=37A024809
- Coordination sequence T6 for Zeolite Code MWW.at n=40A024991
- Decimal part of n-th root of a(n) starts with digit 2.at n=43A034079
- Number of ways to partition 2n into distinct positive integers.at n=25A035294
- Sets of 4 consecutive numbers with equal number of divisors.at n=7A039665
- a(n)=(s(n)+1)/8, where s(n)=n-th base 8 palindrome that starts with 7.at n=27A043071
- Numbers whose base-7 representation contains exactly three 4's.at n=27A043411
- Coordination sequence T1 for Zeolite Code ISV.at n=42A047958
- A000013 / 2.at n=16A054538
- Smallest number that can be expressed as the sum of distinct Lucas numbers (A000204) in exactly n ways.at n=36A055635
- Numbers k such that k^128 + 1 is prime.at n=14A056994
- McKay-Thompson series of class 40A for Monster.at n=38A058662
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 57 ).at n=41A063330