6801
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9072
- Proper Divisor Sum (Aliquot Sum)
- 2271
- 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
- 4532
- Möbius Function
- 1
- Radical
- 6801
- 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
- 88
- 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
- Number of partitions into non-integral powers.at n=34A000148
- a(n) = n*(7*n^2 - 1)/6.at n=18A004126
- a(n) = 3 + n/2 + 7*n^2/2.at n=44A006124
- Exponent of least power of 2 having n consecutive 0's in its decimal representation.at n=7A006889
- Numbers k such that the continued fraction for sqrt(k) has period 100.at n=8A020439
- n written in fractional base 10/6.at n=51A024661
- 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 54.at n=33A031552
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 36 ones.at n=26A031804
- Numbers with exactly five distinct base-9 digits.at n=28A031986
- Number of partitions of n into parts not of the form 13k, 13k+4 or 13k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 5 are greater than 1.at n=35A035952
- Numbers k such that k^4 can be written as a sum of four positive 4th powers with no common factor.at n=18A039664
- Sum of the first n palindromes (A002113).at n=44A046489
- Duplicate of A006889.at n=7A063899
- a(n) = 4*n^2 + 10*n + 1.at n=40A082112
- Number of 4-ary Lyndon words of length n with exactly three 1s.at n=5A124811
- Triangle of number of 4-ary Lyndon words of length n containing exactly k 1s.at n=48A124814
- a(n) is the number of integer lattice points inside the right triangle with legs 3n and 4n (and hypotenuse 5n).at n=33A126587
- Starts with 2; has two properties: concatenation of its digits is same string as concatenation of digits of its first differences and sequence and first differences have no term in common. When there is a choice in choosing the next term in the first differences, choose the smallest number not yet present in either the sequence or its first differences.at n=30A139334
- a(n) = 200*n + 1.at n=33A157956
- a(n) = 400 * n + 1.at n=16A158313