9253
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9760
- Proper Divisor Sum (Aliquot Sum)
- 507
- 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
- 8748
- Möbius Function
- 1
- Radical
- 9253
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 109
- 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(0) = 1, a(n) = 11*n^2 + 2 for n>0.at n=29A010003
- Pseudoprimes to base 41.at n=47A020169
- Gaps of 7 in sequence A038593 (lower terms).at n=27A038653
- Numbers ending with '3' that are the difference of two positive cubes.at n=20A038858
- Denominators of continued fraction convergents to sqrt(657).at n=13A042263
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 20.at n=22A050969
- a(n) is the smallest number k such that k! contains k exactly n times.at n=9A061014
- p such that p^4 + q^4 = r^4 + s^4 = a(n).at n=29A088728
- Diagonal sums of "correlation triangle" for 2^n.at n=12A115217
- Start with 1 and repeatedly reverse the digits and add 47 to get the next term.at n=36A118145
- 1+5*n+7*n^2.at n=35A168235
- Number of (n+2) X 3 binary arrays with no more than two of any consecutive three bits set in any row or column.at n=2A202464
- Number of (n+2)X5 binary arrays with no more than two of any consecutive three bits set in any row or column.at n=0A202466
- T(n,k) = Number of (n+2) X (k+2) binary arrays with no more than two of any consecutive three bits set in any row or column.at n=3A202471
- T(n,k) = Number of (n+2) X (k+2) binary arrays with no more than two of any consecutive three bits set in any row or column.at n=5A202471
- Nonprime numbers with all divisors with additive digital root of 1.at n=24A211822
- Number of (w,x,y,z) with all terms in {1,...,n} and w=x+2y+3z-n.at n=39A212254
- Numbers k such that 25*k+36 is a square.at n=38A222964
- Number of (n+1) X (1+1) 0..1 arrays with every 2 X 2 subblock diagonal minus antidiagonal sum nondecreasing horizontally and vertically.at n=10A253152
- a(n) = n^3 - 8.at n=21A259348