4163
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4368
- Proper Divisor Sum (Aliquot Sum)
- 205
- 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
- 3960
- Möbius Function
- 1
- Radical
- 4163
- Omega Function (Ω)
- 2
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 64
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- One half of number of non-self-conjugate partitions; also half of number of asymmetric Ferrers graphs with n nodes.at n=32A000701
- Apply partial sum operator twice to Fibonacci numbers.at n=15A001924
- Numbers that are the sum of 5 positive 6th powers.at n=22A003361
- Numbers k such that 4*3^k - 1 is prime.at n=15A005540
- Coordination sequence T4 for Zeolite Code MFI.at n=41A008167
- Composite n such that phi(n) * sigma(n) is one less than a square.at n=26A015709
- Odd composite n such that phi(n) * sigma(n) is one less than a square.at n=10A015722
- Number of subsets of { 1, ..., n } containing an A.P. of length 5.at n=14A018790
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly nine 1's.at n=10A020445
- Place where n-th 1 occurs in A023125.at n=33A022787
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3), t = A023531.at n=13A024313
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = floor(n/2), s = (natural numbers >= 3), t = (Fibonacci numbers).at n=12A024315
- n written in fractional base 7/4.at n=38A024641
- Number of partitions of n into an odd number of parts.at n=32A027193
- a(n) = T(2*n, n+1), T given by A027935.at n=7A027937
- Positive numbers having the same set of digits in base 4 and base 8.at n=44A037426
- Numbers whose base-8 representation has exactly 5 runs.at n=2A043627
- Numbers whose base-4 representation contains exactly four 0's and two 1's.at n=18A045035
- Numbers whose base-4 representation contains exactly four 0's and no 2's.at n=35A045057
- Numbers whose base-4 representation contains exactly four 0's and one 3.at n=33A045082