6748
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 13552
- Proper Divisor Sum (Aliquot Sum)
- 6804
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 3374
- Omega Function (Ω)
- 4
- 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
- 44
- 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 7*4^k + 1 is prime.at n=22A002255
- Number of Twopins positions.at n=21A005690
- a(n) = floor(n*(n - 1)*(n - 2)/32).at n=61A011914
- Number of partitions of n with equal number of parts congruent to each of 0 and 1 (mod 3).at n=45A035534
- Column 0 of triangle A055138.at n=14A055139
- Numbers k such that k | sigma_8(k).at n=14A055712
- a(n) = (9*n^2 + 13*n + 6)/2.at n=38A064226
- Zero, together with positive numbers k such that prime(k) - k is a square.at n=31A064370
- Sum of smallest parts of all partitions of n into odd parts.at n=52A092314
- Numbers n such that prime(n) - n is a perfect power.at n=37A107607
- Let spm(n) be the sum of all prime factors of n counted with multiplicities (A001414); sequence gives numbers n such that spm(n+spm(n)) divides both n and n+spm(n).at n=9A131564
- a(n) = (9*n^2 - 5*n + 2)/2.at n=39A140064
- Number of nX2 1..4 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in decreasing order.at n=7A166838
- Numbers that are multiples of 28 and contain both a 4 and a 7.at n=14A171077
- Number of multisets {1^k1, 2^k2, ..., n^kn}, ki >= 0, with the sum of reciprocals <= 1.at n=11A212658
- a(n) = n*(n+1)*(n+2)*(n^2+2*n+17)/120.at n=13A257199
- Number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 97", based on the 5-celled von Neumann neighborhood.at n=45A270152
- Numbers n such that Bernoulli number B_{n} has denominator 870.at n=19A272185
- P-positions for the subtraction game whose allowed moves are the practical numbers (A005153).at n=26A275432
- Smallest number k such that exactly half the numbers in [1..k] are prime(n)-smooth.at n=34A290154