4601
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4752
- Proper Divisor Sum (Aliquot Sum)
- 151
- 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
- 4452
- Möbius Function
- 1
- Radical
- 4601
- 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
- 59
- 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
- Coordination sequence T1 for Zeolite Code JBW.at n=45A008121
- Coordination sequence T2 for Zeolite Code MFS.at n=42A008174
- If a, b in sequence, so is ab+7.at n=37A009312
- a(n) = floor( n*(n-1)*(n-2)/11 ).at n=38A011893
- Coordination sequence T3 for Zeolite Code CGF.at n=47A019453
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=9A020413
- In base 11, a(n) = sum of digits of Lucas(a(n)).at n=38A025491
- Square root of A030688.at n=45A030689
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 38 ones.at n=14A031806
- Number of partitions satisfying (cn(2,5) = cn(3,5) and cn(0,5) <= cn(1,5) and cn(0,5) <= cn(4,5)).at n=41A036805
- McKay-Thompson series of class 29A for Monster.at n=28A058611
- Partial sums of sequence (essentially A002378): 1, 2, 6, 12, 20, 30, 42, 56, 72, 90, ...at n=23A064999
- Index of the first occurrence of prime(n) in A060324.at n=31A078454
- a(1)=1, a(n)=2*a(n-1)+1 if that number is not squarefree, a(n)=a(n-1)+1 otherwise.at n=49A081870
- a(n+2) = a(n+1) + F(n+1)*a(n), where F = Fibonacci number (A000045) and a(0) = a(1) = 1.at n=9A089125
- Indices of primes in sequence defined by A(0) = 13, A(n) = 10*A(n-1) + 63 for n > 0.at n=14A102033
- a(0) = 0, a(1) = 1; a(n) = max { 4*a(k) + a(n-k) | 1 <= k <= n/2 }, for n > 1.at n=47A116520
- Number of partitions of n having no parts with multiplicity 3.at n=31A118807
- Semiprimes that are not the sum of 3 pentagonal numbers.at n=45A120535
- Connell (5,3)-sum sequence (partial sums of the (5,3)-Connell sequence).at n=45A122795