2582
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3876
- Proper Divisor Sum (Aliquot Sum)
- 1294
- 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
- 1290
- Möbius Function
- 1
- Radical
- 2582
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 53
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = Fibonacci(n+3) - 2.at n=15A001911
- a(n) = floor(n*phi^10), where phi is the golden ratio, A001622.at n=21A004925
- Coordination sequence for CaF2(1), Ca position.at n=17A009923
- Number of ordered triples of integers from [ 1,n ] with no common factors between pairs.at n=36A015632
- Numbers k such that the continued fraction for sqrt(k) has period 30.at n=41A020369
- a(n) = floor(floor(S3)/floor(S1)); where S3 and S1 are, respectively, the third and first elementary symmetric functions of {log(k)}, k = 1,2,...,n.at n=41A025210
- Index of 6^n within the sequence of the numbers of the form 2^i*6^j.at n=44A025712
- Positions of records in A030757.at n=44A030762
- 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 50.at n=8A031548
- Numbers with exactly five distinct base-7 digits.at n=17A031984
- a(n) is root of smallest square starting with a string of n 'digit_6's.at n=3A034988
- Number of partitions of n into parts 4k+2 and 4k+3 with at least one part of each type.at n=55A035626
- Number of partitions in parts not of the form 15k, 15k+1 or 15k-1. Also number of partitions with no part of size 1 and differences between parts at distance 6 are greater than 1.at n=35A035955
- G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = tetragonal pyramid group of order 4 with cycle index (z1^5+2*z1*z4+z1*z2^2)/4.at n=7A036783
- Denominators of continued fraction convergents to sqrt(389).at n=10A041739
- Numbers n such that the string 7,8 occurs in the base 9 representation of n but not of n-1.at n=31A044322
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n-1.at n=27A044414
- Numbers n such that string 4,7 occurs in the base 9 representation of n but not of n+1.at n=35A044675
- Numbers n such that string 7,8 occurs in the base 9 representation of n but not of n+1.at n=31A044703
- Numbers n such that string 8,2 occurs in the base 10 representation of n but not of n+1.at n=27A044795