7402
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
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11106
- Proper Divisor Sum (Aliquot Sum)
- 3704
- 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
- 3700
- Möbius Function
- 1
- Radical
- 7402
- 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
- 132
- Smith Number
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of 1/(1-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18-x^19).at n=69A017895
- Numbers k such that the continued fraction for sqrt(k) has period 31.at n=28A020370
- a(n) = 1*t(n) + 2*t(n-1) + ...+ k*t(n+1-k), where k=floor((n+1)/2) and t is A001950 (upper Wythoff sequence).at n=30A023867
- Number of partitions of n with equal nonzero number of parts congruent to each of 2 and 4 (mod 5).at n=43A035570
- Sums of 6 distinct powers of 3.at n=36A038468
- Base-7 palindromes that start with 3.at n=20A043017
- Numbers k such that 2*6^k + 1 is prime.at n=27A120023
- Consider the ordered Goldbach partitions of the even numbers m. Then a(n) is the least m which contains prime(n) such partitions composed of odd primes.at n=38A216047
- Volume of torus (rounded down) with major radius = n and minor radius = n/3.at n=14A228641
- Number of partitions of n such that m(1) > m(2), where m = multiplicity.at n=34A240056
- a(n) = 3*n^2 - 2*n + 2.at n=50A271740
- a(n) = 2^n - 1 written backwards.at n=11A273092
- Partial sums of A298015.at n=50A298018
- Coordination sequence for "svh" 3D uniform tiling.at n=38A299283
- a(n) = 155*n - 38.at n=47A304611
- Expansion of Product_{k>=1} (1 + x^k/(1 + x)).at n=33A307602
- Numbers k such that sigma(k) == 2 modulo 8 and sigma(sigma(k)) == 6 modulo 8.at n=42A332457
- Consider the figure made up of a row of n adjacent congruent rectangles, with diagonals of all possible rectangles drawn; a(n) = number of interior vertices where exactly five lines cross.at n=45A336491