6472
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12150
- Proper Divisor Sum (Aliquot Sum)
- 5678
- 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
- 3232
- Möbius Function
- 0
- Radical
- 1618
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 49
- 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
- Number of T-frame polyominoes with n cells.at n=45A028247
- 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 39.at n=28A031537
- Increasing gaps among twin primes: size.at n=35A036063
- Composite n such that phi(n+4) = phi(n)+4.at n=41A056773
- McKay-Thompson series of class 18h for Monster.at n=50A058546
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 87 ).at n=31A063360
- Numbers k such that sigma(prime(k) + 1) == 0 (mod k).at n=34A067759
- Numbers in A086473 corresponding to the unique product of two numbers having the unique sum of A086533.at n=28A086860
- Numbers n such that prime(n) == -3 (mod n).at n=7A092045
- Expansion of 1/(1-2x-3x^3).at n=10A099525
- a(n) is the largest number m such that m = pi(n*m).at n=8A102281
- Reduced numerators of the central moments of the distribution of random line segments picked on a unit line segment.at n=15A103307
- Start with 1 and repeatedly reverse the digits and add 71 to get the next term.at n=36A118218
- Ramanujan numbers (A000594) read mod 8192.at n=22A126823
- a(1) = 1, a(2) = 10; for n>2, a(n+1) = 4*a(n) + 6*a(n-1). Also a(n) = upper left term in the 2 X 2 matrix [1,3; 3,3].at n=5A138041
- Number of n X n arrays of squares of integers summing to 5 with every element equal to at least one neighbor.at n=4A146124
- Number of lines through at least 2 points of a 4 X n grid of points.at n=42A160844
- Number of 6-step self-avoiding walks on an n X n square summed over all starting positions.at n=6A188151
- Number of (w,x,y) with all terms in {0,...,n} and the numbers w,x,y,|w-x|,|x-y| distinct.at n=21A213490
- Number of nX4 0..2 arrays with exactly floor(nX4/2) elements equal to at least one king-move neighbor, with new values introduced in row major 0..2 order.at n=4A223030