4131
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 6552
- Proper Divisor Sum (Aliquot Sum)
- 2421
- 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
- 2592
- Möbius Function
- 0
- Radical
- 51
- Omega Function (Ω)
- 6
- 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
- 126
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T2 for Zeolite Code PAU.at n=47A008220
- Coordination sequence T5 for Zeolite Code PAU.at n=47A008223
- Numbers that are the sum of 3 positive cubes in more than one way.at n=31A008917
- Coordination sequence T4 for Zeolite Code ZON.at n=45A009922
- Number of directed animals on a certain lattice.at n=4A011790
- Numbers that are the sum of 3 distinct positive cubes in 2 or more ways.at n=19A024974
- Numbers that are the sum of 3 positive cubes in exactly 2 ways.at n=31A025396
- Numbers that are the sum of 3 distinct positive cubes in exactly 2 ways.at n=19A025400
- Coordination sequence T4 for Zeolite Code ITE.at n=44A027372
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 63.at n=14A031561
- Number of partitions satisfying (cn(0,5) = cn(1,5) = cn(4,5) and cn(0,5) <= cn(2,5) and cn(0,5) <= cn(3,5)).at n=54A036824
- Positive numbers having the same set of digits in base 6 and base 8.at n=27A037435
- a(n)=A033002(n)/5.at n=44A043308
- Numbers whose base-16 representation has exactly 4 runs.at n=17A043677
- Numbers whose base-4 representation contains exactly four 0's and one 1.at n=26A045034
- Numbers whose base-4 representation contains exactly four 0's and one 2.at n=28A045058
- Numbers whose base-4 representation contains exactly four 0's and one 3.at n=27A045082
- Odd numbers divisible by exactly 6 primes (counted with multiplicity).at n=9A046319
- a(n) = A047881(n) / 2.at n=27A047882
- Numbers n such that n | 8^n + 7^n + 6^n.at n=30A057233