6570
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 17316
- Proper Divisor Sum (Aliquot Sum)
- 10746
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1728
- Möbius Function
- 0
- Radical
- 2190
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 31
- 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
- Numbers that are the sum of 12 positive 7th powers.at n=36A003379
- Sum of 10 nonzero 8th powers.at n=11A003388
- Theta series of A_5 lattice.at n=32A008445
- Aliquot sequence starting at 138.at n=10A008888
- Aliquot sequence starting at 150.at n=9A008889
- Aliquot sequence starting at 168.at n=7A008890
- Expansion of Product_{m>=1} (1+x^m)^2.at n=26A022567
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 18.at n=8A031696
- Sums of distinct powers of 9.at n=18A033046
- Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,0.at n=4A033145
- Sum of cubes of unitary divisors of n.at n=17A034677
- Number of partitions of n into parts not of the form 15k, 15k+2 or 15k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 6 are greater than 1.at n=37A035956
- Positive numbers having the same set of digits in base 2 and base 9.at n=14A037414
- Sums of 2 distinct powers of 3.at n=30A038464
- Sums of two distinct powers of 9.at n=7A038487
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=31A039624
- Denominators of continued fraction convergents to sqrt(950).at n=15A042839
- Numbers having three 0's in base 9.at n=16A043455
- Sums of two powers of 3.at n=38A055235
- Sums of two powers of 9.at n=11A055260