9745
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11700
- Proper Divisor Sum (Aliquot Sum)
- 1955
- 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
- 7792
- Möbius Function
- 1
- Radical
- 9745
- 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
- 135
- 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
- Denominators of continued fraction convergents to sqrt(628).at n=8A042205
- Centered 24-gonal numbers.at n=28A069190
- a(n) = n^3 + (n+1)^2.at n=21A100705
- Where records occur in A111390.at n=50A114111
- Let M be the matrix defined in A111490. Sequence gives the sum of the elements of the submatrices (from the upper left element): M(1,1); M(1,1)+M(1,2)+M(1,2)+M(2,2); M(1,1)+M(1,2)+M(1,3)+M(2,1)+M(2,2)+M(2,3)+M(3,1)+M(3,2)+M(3,3), etc.at n=33A123326
- Prime numbers concatenated with 45.at n=24A137521
- 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, 1, -1), (-1, 1, 0), (0, 1, 1), (1, -1, -1)}.at n=10A148220
- 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, 1), (-1, 1, 0), (1, 0, 0), (1, 1, -1)}.at n=9A148643
- 10^n-4^n+1^n.at n=4A155631
- Total area of the shadows of the three views of a three-dimensional version of the shell model of partitions with n shells.at n=18A207380
- Triangle of coefficients of polynomials u(n,x) jointly generated with A209820; see the Formula section.at n=52A209819
- Number of partitions of n into exactly 4 different parts with distinct multiplicities.at n=32A212115
- Numbers k such that sigma(tau(phi(k))) = phi(tau(sigma(k))).at n=44A226118
- Expansion of e.g.f. exp(x - x^3).at n=8A246607
- Triangle read by rows: T(n,k) is the number of weighted lattice paths B(n) having k uhd strings.at n=28A247290
- Number of weighted lattice paths B(n) having no uhd strings.at n=13A247291
- Composites in base 10 that remain composite in exactly five bases b, 2 <= b <= 10, expansions interpreted as decimal numbers.at n=40A256353
- Partial sums of A299257.at n=23A299263
- a(n) = Sum_{k=0..n} (n^2)!/((n^2-n*k)!*k!^n).at n=3A306207
- G.f.: Sum_{n>=0} (x^(2*n-1) + 1)^n * x^n / (1 + x^(2*n+1))^(n+1), an even function.at n=49A326602