4101
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5472
- Proper Divisor Sum (Aliquot Sum)
- 1371
- 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
- 2732
- Möbius Function
- 1
- Radical
- 4101
- 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
- 38
- 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
- Numbers that are the sum of 6 positive 6th powers.at n=27A003362
- Numbers that are the sum of 9 positive 10th powers.at n=4A004809
- Numbers that are the sum of 7 positive 11th powers.at n=2A004818
- Numbers that are the sum of at most 10 nonzero 10th powers.at n=43A004905
- Numbers that are the sum of at most 7 positive 11th powers.at n=20A004913
- Numbers that are the sum of at most 8 positive 11th powers.at n=22A004914
- Numbers that are the sum of at most 9 positive 11th powers.at n=24A004915
- Numbers that are the sum of at most 10 positive 11th powers.at n=26A004916
- Numbers that are the sum of at most 11 positive 11th powers.at n=28A004917
- Numbers that are the sum of at most 12 positive 11th powers.at n=30A004918
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=40A005891
- Coordination sequence T2 for Zeolite Code MEP.at n=38A008158
- Coordination sequence T3 for Zeolite Code MTW.at n=42A008198
- Numbers k such that the continued fraction for sqrt(k) has period 72.at n=8A020411
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (F(2), F(3), ...).at n=12A024472
- a(n) = Sum_{k=0..n} (k+1) * A026725(n, k).at n=9A027211
- Square root of A030688.at n=40A030689
- Numbers whose base-4 representation has 4 more 0's than 3's.at n=24A031465
- 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=20A031540
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=10A031806