6232
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 12600
- Proper Divisor Sum (Aliquot Sum)
- 6368
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 1558
- Omega Function (Ω)
- 5
- 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
- 62
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Smaller of an amicable pair: (a,b) such that sigma(a) = sigma(b) = a+b, a < b.at n=4A002025
- a(n) = (d(n)-r(n))/2, where d = A026060 and r is the periodic sequence with fundamental period (1,0,0,0).at n=33A026061
- a(n) = Sum_{k=0..n} T(n,k) * T(n,n+k), with T given by A027023.at n=7A027046
- 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 19.at n=36A031517
- Every run of digits of n in base 3 has length 2.at n=29A033001
- Denominators of continued fraction convergents to sqrt(298).at n=9A041561
- Erroneous version of A028419.at n=13A046664
- Numbers n such that 107*2^n-1 is prime.at n=16A050579
- Amicable numbers.at n=8A063990
- Expansion of exp(2*x)*(1+x)/(1-x)^2.at n=5A082029
- a(n) = (prime(n)+1)*n.at n=38A083726
- Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(60+I*11)/61.at n=26A084804
- Number of partitions of n such that largest part k occurs at least floor(k/2) times.at n=50A118083
- Column 0 of matrix 8th power of triangle A134049; a(n) = [A134049^8](n,0) = A134049(n+3,3)/8^n.at n=3A134053
- First bisection of A061039.at n=38A144448
- 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, 0), (-1, 1, -1), (0, 1, 0), (1, -1, 1), (1, 0, -1)}.at n=9A148356
- Number of 5 X 5 arrays of squares of integers, symmetric about main diagonal, with all rows summing to n.at n=30A156385
- Number of partitions of n into numbers not divisible by 4 where every part appears at least 2 times.at n=58A161293
- Number of binary strings of length n with equal numbers of 00101 and 01011 substrings.at n=13A164246
- Conjectured list of smallest terms of k-sociable cycles of order r.at n=9A183016