4260
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 12096
- Proper Divisor Sum (Aliquot Sum)
- 7836
- 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
- 1120
- Möbius Function
- 0
- Radical
- 2130
- 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
- 77
- 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
- An approximation to population of x^2 + y^2 <= 2^n.at n=14A000692
- Related to Gilbreath conjecture.at n=24A001549
- Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group.at n=10A007993
- Coordination sequence T3 for Zeolite Code CON.at n=46A009870
- Numbers k such that A174141(k) is divisible by k.at n=30A032581
- Numbers whose set of base-11 digits is {2,3}.at n=23A032811
- Positive numbers having the same set of digits in base 5 and base 8.at n=26A037431
- Triangle of rooted planar maps up to orientation-preserving isomorphisms.at n=50A046653
- Sum{T(i,n-i): i=0,1,...,n}, array T as in A047100.at n=13A047101
- Number of horizontally convex n-ominoes in which the top row has exactly 1 square, which is not above the rightmost square in the second row and the rightmost square in the second row is above the leftmost square in the third row.at n=10A049222
- Numbers k such that k^16 == 1 (mod 17^3).at n=12A056088
- Coordination sequence T4 for Zeolite Code MTF.at n=39A057307
- Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,3.at n=20A064238
- Numbers k such that k-1, k+1 and k^2+1 are prime numbers.at n=15A070155
- Numbers n such that A005185(n) divides n.at n=45A076267
- Numbers k such that (k-1, k+1) and (k/2-1, k/2+1) are both pairs of twin primes.at n=4A076504
- Total number of left truncatable primes (without zeros) in base n.at n=8A076623
- a(n) is the least positive integer k such that g(k) = n*g(k-1), where g(k) = prime(k+1) - prime(k).at n=26A078563
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=3, r=3, I={-1,0,1}.at n=19A079985
- 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=18A080142