3077
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 3276
- Proper Divisor Sum (Aliquot Sum)
- 199
- 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
- 2880
- Möbius Function
- 1
- Radical
- 3077
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 35
- 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
- Sum of 11 positive 9th powers.at n=6A004800
- Numbers that are the sum of 8 positive 10th powers.at n=3A004808
- Numbers that are the sum of at most 8 nonzero 10th powers.at n=29A004903
- Numbers that are the sum of at most 9 nonzero 10th powers.at n=32A004904
- Numbers that are the sum of at most 10 nonzero 10th powers.at n=35A004905
- Numbers that are the sum of at most 11 nonzero 10th powers.at n=38A004906
- Numbers that are the sum of at most 12 nonzero 10th powers.at n=41A004907
- Largest number not the sum of distinct n-th-order polygonal numbers.at n=16A007419
- Rectilinear crossing number of complete graph on n nodes.at n=22A014540
- Numbers k such that the continued fraction for sqrt(k) has period 15.at n=18A020354
- Expansion of sinh(x)*sin(sin(x))/2.at n=5A024227
- Sequence A025513 divided by 2.at n=31A025514
- Positions of record values in A030777.at n=48A030782
- Numbers k such that 255*2^k+1 is prime.at n=27A032504
- a(n+1) = a(n) + sum of squares of digits of a(n).at n=42A033936
- Number of partitions of n such that cn(0,5) = cn(1,5) = cn(3,5) <= cn(2,5) = cn(4,5).at n=64A036866
- a(n)-th and (a(n)+1)-st primes are the first pair of primes that differ by exactly 2n; a(n) = -1 if no such pair of primes exists.at n=23A038664
- Numbers k such that the string 8,8 occurs in the base 9 representation of k but not of k-1.at n=37A044331
- Numbers n such that string 7,7 occurs in the base 10 representation of n but not of n-1.at n=30A044409
- Numbers n such that string 8,8 occurs in the base 9 representation of n but not of n+1.at n=37A044712