9725
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
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 12090
- Proper Divisor Sum (Aliquot Sum)
- 2365
- 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
- 7760
- Möbius Function
- 0
- Radical
- 1945
- Omega Function (Ω)
- 3
- 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
- 166
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Number of partitions of n into parts not of the form 23k, 23k+9 or 23k-9. Also number of partitions with at most 8 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=33A035997
- Numerators of continued fraction convergents to sqrt(790).at n=6A042522
- a(n) = T(2,n), array T given by A048505.at n=8A048507
- Numbers k such that 2^k - 9 is prime.at n=22A059610
- Numbers n whose sum of divisors and number of divisors are both triangular numbers.at n=30A070996
- Concatenation of n-th prime and n in decimal notation.at n=24A075110
- a(n) = floor(e*(n+3)!) - (n+3)*(n+2)*(n+1)*n*floor(e*(n-1)!).at n=18A080770
- Output of the linear congruential pseudo-random number generator rand() used in Microsoft's Visual C++.at n=29A096558
- Where records occur in A111390.at n=40A114111
- Start with 1 and repeatedly reverse the digits and add 62 to get the next term.at n=32A118157
- Start with 1057 and repeatedly reverse the digits and add 2 to get the next term.at n=23A120215
- Similar to A072921 but starting with 2.at n=40A152231
- a(n) = 169*n^2 - 140*n + 29.at n=7A156639
- Positive numbers y such that y^2 is of the form x^2+(x+79)^2 with integer x.at n=9A159758
- Composite numbers of form 8n+5 with all prime factors of form 8m+5.at n=39A175486
- Numbers k that divide the sum of digits of 13^k.at n=30A175525
- Numerators of expansion of sqrt(F-1) where F is the g.f. for A000957.at n=8A187894
- a(n) = n^3 - 2*n^2 + 2*n + 1.at n=21A188947
- Number of conjugacy classes of solvable subgroups of the symmetric group.at n=12A218911
- Number of compositions of n avoiding the pattern 1111.at n=16A232464