7238
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 13824
- Proper Divisor Sum (Aliquot Sum)
- 6586
- 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
- 2760
- Möbius Function
- 1
- Radical
- 7238
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 57
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- Nearest integer to 4 * Pi * n^3 / 3.at n=12A002101
- Numbers whose sum of divisors is a cube.at n=37A020477
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 12.at n=14A031690
- Number of n-dimensional partitions of 6.at n=10A042984
- Number of binary words of length n (beginning 0) with autocorrelation function 2^(n-1)+2.at n=16A045692
- Number of semi-meanders of order n with 5 components.at n=6A046724
- Triangle of numbers of semi-meanders of order n with k components.at n=61A046726
- Numbers k such that k*2^k + (k+1) is prime.at n=6A046845
- Number of 11-core partitions of n.at n=50A053691
- In base 2: smallest integer which requires n 'Reverse and Add' steps to reach a palindrome.at n=41A066058
- a(n) = floor(surface area of a sphere with radius n).at n=23A066644
- a(n) = floor( (4/3)*Pi*n^3 ).at n=12A066645
- Numbers k such that A000984(k) mod k = 0 and A080383(k) != 7.at n=32A080392
- Slowest increasing sequence with its first 10 digits all different one from another, then the next 10, then the next 10, etc.at n=23A106604
- Number of 0's in the binary expansion of A127962(n).at n=28A127964
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 0, 1), (1, 1, -1)}.at n=10A148281
- Numbers k such that Sum_{i=1..k} i^6 divides Product_{i=1..k} i^6.at n=6A166606
- a(n) = coefficient of x^n in the (n+1)-th iteration of Sum_{k>=0} x^(2^k), n>=1.at n=5A168366
- a(n) = n*n in the arithmetic where when digits are to be added they are multiplied, and when they are to be multiplied they are added.at n=39A169921
- Numbers m such that m^2 + 3^k is prime for k = 1, 2, 3.at n=17A177173