3041
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 8
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3042
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3040
- Möbius Function
- -1
- Radical
- 3041
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 154
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 436
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = floor( phi*a(n-1) ) + floor( phi*a(n-2) ), where phi is the golden ratio.at n=12A005908
- Numbers n such that 2^n - 2^((n + 1)/2) + 1 is prime.at n=14A007670
- Imaginary Rabbits: imaginary part of a(0)=i; a(1)=-i; a(n) = a(n-1) + i*a(n-2), with i = sqrt(-1).at n=24A014291
- Numbers k such that the continued fraction for sqrt(k) has period 49.at n=5A020388
- a(0)=0, a(2*n) = 2*a(n) + 2*a(n-1) + n^2 + n, a(2*n+1) = 4*a(n) + (n+1)^2.at n=45A022560
- Primes that remain prime through 3 iterations of function f(x) = 3x + 10.at n=22A023280
- Least m such that if r and s in {1/2, 1/5, 1/8,..., 1/(3n-1)}, satisfy r < s, then r < k/m < s for some integer k.at n=36A024823
- Number of partitions of n into an even number of parts, the least being 3; also, a(n+3) = number of partitions of n into an odd number of parts, each >=3.at n=50A027195
- Sequence satisfies T^2(a)=a, where T is defined below.at n=49A027589
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 24 ones.at n=26A031792
- Lower prime of a difference of 8 between consecutive primes.at n=41A031926
- Index of first occurrence of n as a term in A001203, the continued fraction for Pi.at n=37A032523
- Primes of form x^2+95*y^2.at n=22A033206
- Primes of form x^2+26*y^2.at n=31A033218
- a(n) = (10*n^3 - 9*n^2 + 2*n)/3 + 1.at n=10A034721
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 3 and 4 (mod 5).at n=45A035587
- Numerators of continued fraction convergents to sqrt(95).at n=7A041170
- Numerators of continued fraction convergents to sqrt(380).at n=3A041720
- Denominators of continued fraction convergents to sqrt(693).at n=6A042333
- Numerators of continued fraction convergents to sqrt(855).at n=3A042650