3582
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 7800
- Proper Divisor Sum (Aliquot Sum)
- 4218
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1188
- Möbius Function
- 0
- Radical
- 1194
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 100
- 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
- a(n) = floor(n*phi^11), where phi is the golden ratio, A001622.at n=18A004926
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=18A004946
- Coordination sequence T2 for Zeolite Code EPI.at n=38A008091
- Coordination sequence T1 for Zeolite Code GOO.at n=41A008111
- Coordination sequence T5 for Zeolite Code GOO.at n=41A008115
- [ Sum (s(j) - s(i))^3 ], 1 <= i < j <= n, where s(k) = 1 + 1/2 + ... + 1/k.at n=49A025217
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=32A025405
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=34A025407
- a(n) = Sum_{k=0..n} A026615(n, k).at n=11A026622
- Numbers whose base-4 representation has 4 fewer 0's than 3's.at n=39A031469
- Decimal part of cube root of a(n) starts with 3: first term of runs.at n=13A034129
- Sums of 10 distinct powers of 2.at n=29A038461
- Gaps of 2 in sequence A038593 (lower terms).at n=8A038643
- Divisible by 3 (and 9) and are differences between two cubes in at least one way.at n=36A038851
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=13A038852
- Numbers ending with '2' that are the difference of two positive cubes.at n=11A038857
- Number of partitions satisfying cn(2,5) + cn(3,5) < cn(0,5) + cn(1,5) + cn(4,5).at n=29A039869
- Numerators of continued fraction convergents to sqrt(249).at n=7A041466
- Base-8 palindromes that start with 6.at n=17A043026
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n-1.at n=38A044414