6010
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10836
- Proper Divisor Sum (Aliquot Sum)
- 4826
- 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
- 2400
- Möbius Function
- -1
- Radical
- 6010
- 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
- 142
- 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
- yes
- Odd
- no
Appears in sequences
- Apply partial sum operator thrice to binary rooted tree numbers.at n=12A014169
- Numbers k such that k | 13^k + 1.at n=20A015963
- Numbers k such that the continued fraction for sqrt(k) has period 13.at n=33A020352
- Numbers k such that k*(3k-1)/2 is a pentagonal palindrome.at n=10A028386
- Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 17.at n=0A031605
- Internal digits of n^2 include digits of n as subsequence.at n=22A046834
- Numbers k such that k | sigma_6(k).at n=30A055710
- Number of ways to cover (without overlapping) a ring lattice (necklace) of n sites with molecules that are 9 sites wide.at n=44A058364
- Index values for new maxima in A065925.at n=14A065926
- Records in A065925.at n=14A065927
- Row sums of triangle A097084, in which the n-th diagonal equals the n-th row transformed by triangle A008459 (squared binomial coefficients).at n=9A097085
- a(n+1) = least positive integer not already used that begins with the last two digits of a(n).at n=29A098753
- a(n) = 2*(n-1)*a(n-1)+(n-1)*a(n-2) with a(0)=0, a(1)=1.at n=6A108205
- Self-describing sequence. See the sequence as a succession of digits: then a(n) is the position of a prime digit in the sequence.at n=41A114315
- Number of degree n polynomials over GF(2) (with nonzero constant term) at Hamming distance 2 from some irreducible polynomial.at n=14A128902
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 3 and 6.at n=29A136812
- Eigentriangle by rows, n terms of (10 * A002535) followed by A002535(n).at n=26A143970
- Eigentriangle by rows, n terms of (10 * A002535) followed by A002535(n).at n=33A143970
- a(n) = 250*n + 10.at n=23A154379
- Transform of A056594 by the T_{0,1} transformation (see link).at n=10A159343