6124
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 10724
- Proper Divisor Sum (Aliquot Sum)
- 4600
- 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
- 3060
- Möbius Function
- 0
- Radical
- 3062
- Omega Function (Ω)
- 3
- 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
- 62
- 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 k such that 45*2^k - 1 is prime.at n=48A002242
- Exactly half of first a(n) terms of A022300 are 1's (not known to be infinite).at n=23A025513
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=10A031822
- Numbers having four 4's in base 5.at n=27A043368
- a(n) = 4*n^2 - 7*n + 4.at n=39A054567
- a(n) = 2^n + 2^(n - 1) - n - 8.at n=9A058968
- a(n) = Sum_{k=1..n} d(k)*prime(k), where d(k) = A001223.at n=28A064009
- Number of triangulations of the cyclic polytope C(n, n-4).at n=18A066342
- a(n) = (n+2)*2^(n-1) - 2*n.at n=10A066368
- Weighted sum of the harmonic numbers.at n=5A087751
- Numbers k such that 609 * 10^k - 1 is prime.at n=22A108320
- Numbers whose anti-divisors sum to a perfect cube.at n=13A109351
- Trajectory of 4 under map k -> A094077(k).at n=52A117149
- Numbers k such that A098572(k) - A098572(k-1) = 2.at n=38A133497
- a(n) = 5*n^2 - 1.at n=34A134538
- Concatenation of first two digits and last two digits of n-th even superperfect number A061652(n).at n=41A138869
- Antidiagonal sums of the array A051776.at n=48A141395
- Values k: A165495(k) is odd.at n=37A165496
- Where A184593, the difference between 5n and A101306(n), becomes a new record in either direction.at n=41A184594
- Number of multiset repetition class defining partitions of N with 1<=N<=n.at n=51A185976