6965
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9600
- Proper Divisor Sum (Aliquot Sum)
- 2635
- 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
- 4752
- Möbius Function
- -1
- Radical
- 6965
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 31
- 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
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=35A004946
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=61A011913
- Expansion of 1/((1-x)(1-3x)(1-4x)(1-6x)).at n=4A021354
- Least k such that first k terms of A022303 contain n more 2's than 1's.at n=6A025518
- a(n) = Sum_{k=0..floor(n/2)} T(n-k,k), T given by A026725.at n=18A026735
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=31A038853
- Numbers ending with '5' that are the difference of two positive cubes.at n=22A038860
- a(n) = (n+5)^3 - n^3.at n=19A038867
- Numerators of continued fraction convergents to sqrt(871).at n=5A042682
- Base-6 palindromes that start with 5.at n=27A043014
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 8.at n=35A051973
- Partial sums of A000084.at n=10A058351
- Number of lesser twin primes (A001359) in range ]2^n, 2^(n+1)].at n=19A095017
- Triangle read by rows: T(n,k) = number of labeled bicolored nonseparable graphs with k points in one color class and n-k points in the other class. The classes are interchangeable if k = n-k. Here n >= 2, k=1..n-1.at n=18A123474
- Triangle read by rows: T(n,k) = number of labeled bicolored nonseparable graphs with k points in one color class and n-k points in the other class. The classes are interchangeable if k = n-k. Here n >= 2, k=1..n-1.at n=17A123474
- Number of partitions of n where odd parts are distinct or repeated once.at n=37A131945
- Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c^2+d^2)/2)).at n=22A134602
- Partial sums of partial sums of PrimePi(k).at n=46A137441
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, -1, 1), (0, 1, 0), (1, 0, -1), (1, 1, -1)}.at n=9A148358
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (1, -1, 0), (1, -1, 1), (1, 1, 0)}.at n=8A149112