4485
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8064
- Proper Divisor Sum (Aliquot Sum)
- 3579
- 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
- 2112
- Möbius Function
- 1
- Radical
- 4485
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 46
- 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
- Octagonal numbers: n*(3*n-2). Also called star numbers.at n=39A000567
- The convergent sequence B_n for the ternary continued fraction (3,1;2,2) of period 2.at n=11A000963
- Numbers k such that 45*2^k - 1 is prime.at n=46A002242
- a(n) = (4*n+1)*(4*n+5).at n=16A003185
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=29A013592
- Odd octagonal numbers: (2n+1)*(6n+1).at n=19A014641
- Expansion of 1/((1-x)(1-8x)(1-12x)).at n=3A016260
- Pseudoprimes to base 47.at n=38A020175
- a(n) = n*(17*n - 1)/2.at n=23A022274
- Quotients k*(k+1)*(k+2) / (k+(k+1)+(k+2)) that are lucky numbers.at n=12A032792
- Number of partitions in parts not of the form 25k, 25k+3 or 25k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 11 are greater than 1.at n=32A036002
- Number of partitions satisfying cn(0,5) <= cn(1,5) + cn(2,5) and cn(0,5) <= cn(4,5) + cn(2,5) and cn(0,5) <= cn(1,5) + cn(3,5) and cn(0,5) <= cn(4,5) + cn(3,5).at n=30A039843
- Numerators of continued fraction convergents to sqrt(614).at n=6A042178
- Squarefree odd numbers with exactly 4 distinct prime factors.at n=18A046390
- Expansion of (1/2)*(1/x^2 - 1/x)*(1-x-sqrt(1-2*x+x^2-4*x^3)) - x.at n=16A052702
- a(n) = p(0) + p(1) + ... + p(n) - n - 1, where p = partition numbers, A000041.at n=22A058682
- a(n) = (Sum of the first n primes) + n.at n=46A060939
- Zero, together with positive numbers k such that prime(k) - k is a square.at n=24A064370
- Numbers k that divide 2^(k+3) - 1.at n=27A069927
- Group the natural numbers so that the product of members of a group is a multiple of the sum: (1),(2,3,4,5,6),(7,8,9),(10,11,12),(13,14,15),(16,17,18),(19,20,21),(22,23,24),.... This is the sequence of the ratio of product /sum.at n=38A074155