6035
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 7776
- Proper Divisor Sum (Aliquot Sum)
- 1741
- 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
- 4480
- Möbius Function
- -1
- Radical
- 6035
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 41
- 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
- Numbers whose sum of divisors is a fifth power.at n=16A019423
- Denominators of continued fraction convergents to sqrt(699).at n=10A042345
- Integers whose sum of divisors is 6^5 = 7776.at n=11A048255
- Values of e, the lesser key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.at n=28A051892
- Triangle read by rows: monoids of order n with k idempotents.at n=26A058137
- Frobenius number of the numerical semigroup generated by three consecutive hexagonal numbers.at n=8A069758
- Greedy frac multiples of 1/Pi: a(1)=1, Sum_{n>0} frac(a(n)*x) = 1 at x=1/Pi, where "frac(y)" denotes the fractional part of y.at n=23A080142
- Second partial sums of fifth powers (A000584).at n=4A101092
- a(n) = (7*n^3 + 6*n^2 + 5*n) / 6.at n=17A101165
- Numbers n such that n^k+(n+1)^k is prime for k = 1, 2, 4.at n=37A128780
- Partial sums of A100119. Sum of first n of the n-th centered n-gonal numbers.at n=14A130218
- Numbers n where |sinc(n)| decreases monotonically to 0 (where sinc(x)=sin(x)/x).at n=42A131975
- Indices m such that A128646(m)+1 is prime, where A128646 = denominators of partial sums of 1/(prime(i)-1).at n=49A137691
- a(1) = 1, and for each k >=2, a(k) is the smallest number n such that n/sin(n) > a(k)/sin(a(k)), so that a(1)/sin(a(1)) > a(2)/sin(a(2)) > ... > a(k)/sin(a(k)) > ...at n=22A172445
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210860; see the Formula section.at n=42A210861
- a(n) = sum of the sums of the k first n-th powers.at n=5A215084
- Surface area of Johnson square pyramid (rounded down) with all the edge-lengths equal to n.at n=46A224837
- Number of Dyck paths of semilength n having exactly 5 (possibly overlapping) occurrences of the consecutive steps UDUUUDDDUD (with U=(1,1), D=(1,-1)).at n=5A243875
- Number of (n+1) X (2+1) 0..1 arrays with every 2 X 2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=35A253391
- a(n) = 1*5^n + 2*4^n + 3*3^n + 4*2^n + 5*1^n.at n=5A254031