7300
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 16058
- Proper Divisor Sum (Aliquot Sum)
- 8758
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2880
- Möbius Function
- 0
- Radical
- 730
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 3
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
- 44
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of Product_{m>=1} (1+m*q^m)^-25.at n=4A022717
- Numbers k such that k^2 is palindromic in base 9.at n=15A029994
- Sums of distinct powers of 9.at n=27A033046
- Base 9 digits are, in order, the first n terms of the periodic sequence with initial period 1,1,0.at n=4A033136
- Positive numbers having the same set of digits in base 2 and base 9.at n=23A037414
- Sums of 4 distinct powers of 9.at n=2A038489
- Base-9 palindromes that start with 1.at n=29A043028
- Numbers having four 1's in base 9.at n=2A043460
- McKay-Thompson series of class 12E for the Monster group.at n=24A058483
- Intrinsic 9-palindromes: n is an intrinsic k-palindrome if it is a k-digit palindrome in some base.at n=25A060879
- Write 0, 1, 2, 3, 4, ... in a triangular spiral, then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0, 7, ...at n=40A062725
- Smallest multiple of n sandwiched between two numbers both having square divisors.at n=49A085051
- a(n) = 9*n^3 - 18*n^2 + 10*n.at n=10A086605
- Indices of primes of the form k^2 - 11.at n=37A091273
- Positive integers k such that k^20 + 1 is semiprime (A001358).at n=29A105282
- McKay-Thompson series of class 24b for the Monster group.at n=24A112162
- Numbers k such that 2*6^k + 1 is prime.at n=26A120023
- Triangle, read by rows, where diagonal m of T equals diagonal m-1 of matrix power T^m for m>1: T(n,k) = [T^(n-k)](n-1,k) for n>=k>0, with T(n,n)=1 and T(n+1,n)=n+1 for n>=0.at n=22A132471
- Column 1 of triangle A132471.at n=5A132473
- a(n) = 3*A146085(n) - 2.at n=37A146091