7493
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7680
- Proper Divisor Sum (Aliquot Sum)
- 187
- 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
- 7308
- Möbius Function
- 1
- Radical
- 7493
- Omega Function (Ω)
- 2
- 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
- 88
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- a(n) = (d(n)-r(n))/5, where d = A026054 and r is the periodic sequence with fundamental period (3,3,0,0,4).at n=55A026056
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 14.at n=32A050963
- a(n) = A048141(3*n+1).at n=56A051059
- Potential Sierpiński numbers: integers for which the smallest m > 2^10 in A040076 such that n*2^m+1 is prime (A050921).at n=26A064721
- Semiprimes p1*p2 such that p2 mod p1 = 9, with p2 > p1.at n=37A064907
- Composite numbers k such that the continued fraction for k/m contains no 2 for any 1 <= m <= k.at n=25A082409
- Number of compositions of n where the smallest part is greater than or equal to the number of parts.at n=40A098131
- Indices of primes in sequence defined by A(0) = 67, A(n) = 10*A(n-1) + 27 for n > 0.at n=17A101542
- Number of n X n binary arrays symmetric under horizontal reflection with all ones connected only in a 1000-1000-1111-1000 pattern in any orientation.at n=11A147124
- Sums of prime points found in four grids in each corner of a square.at n=23A161190
- Eight bishops and one elephant on a 3 X 3 chessboard. a(n) = 2^(n+2) - 3*F(n+2).at n=11A175660
- Number of UH^jU's, DH^jD's, and DH^jU's for some j>0, in all peakless Motzkin paths of length n (here U=(1,1), D=(1,-1) and H=(1,0); can be easily expressed using RNA secondary structure terminology).at n=13A187259
- 0-sequence of reduction of (3n-2) by x^2 -> x+1.at n=12A192311
- Number of -n..n arrays x(0..5) of 6 elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern).at n=34A200184
- Numerator of Sum_{k=1..n}(-1)^k/phi(k), where phi = A000010.at n=49A211177
- Number of (n+3) X 7 0..1 matrices with each 4 X 4 subblock idempotent.at n=12A224564
- Number of partitions p of n such that mean(p) >= multiplicity(min(p)).at n=35A240079
- Total number of ON cells at stage 2n of two-dimensional 5-neighbor outer totalistic cellular automaton defined by "Rule 453".at n=64A246325
- Binomial transform of the number of partitions into distinct parts (A000009).at n=11A266232
- Expansion of Product_{k>=1} (1 + x^k + x^(3*k)) / (1 - x^k).at n=19A266647