4161
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5920
- Proper Divisor Sum (Aliquot Sum)
- 1759
- 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
- -1
- Radical
- 4161
- 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
- 64
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = 1^n + 2^n + 4^n.at n=6A001576
- Numbers that are the sum of 3 nonzero 6th powers.at n=11A003359
- G.f.: 1/((1-x)*(1-x^2)*(1-x^3)^2*(1-x^4)*(1-x^5)).at n=36A003402
- Divisors of 2^18 - 1.at n=23A003528
- Numbers that are the sum of at most 3 nonzero 6th powers.at n=24A004854
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=40A004855
- a(n) = sigma_6(n), the sum of the 6th powers of the divisors of n.at n=3A013954
- a(n) = b(n) - c(n) where b(n) is the n-th Fibonacci number greater than 2 and c(n) is the n-th number not in sequence b( ).at n=15A014251
- Coordination sequence T2 for Zeolite Code TER.at n=43A016434
- Numerator of sum of -6th powers of divisors of n.at n=3A017675
- Cyclotomic polynomials at x=4.at n=9A019322
- Cyclotomic polynomials at x=-4.at n=18A020503
- 9th cyclotomic polynomial evaluated at powers of 2.at n=2A020517
- a(n) = n*(23*n + 1)/2.at n=19A022281
- Sum of distinct prime divisors of prime(n)*prime(n-1) - 1.at n=30A023521
- n written in fractional base 7/4.at n=36A024641
- Numbers k such that k^2 is palindromic in base 8.at n=27A029805
- Numbers k such that k^2 is palindromic in base 4.at n=15A029986
- Numbers whose base-4 representation has 4 more 0's than 3's.at n=38A031465
- 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 42.at n=24A031540