7530
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18144
- Proper Divisor Sum (Aliquot Sum)
- 10614
- 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
- 2000
- Möbius Function
- 1
- Radical
- 7530
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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
- Expansion of 1/((1-x)(1-5x)(1-9x)(1-12x)).at n=3A023772
- n written in fractional base 9/7.at n=27A024655
- Weight distribution of [48,23,8] Rao-Reddy code.at n=4A031137
- Weight distribution of [48,23,8] Rao-Reddy code.at n=20A031137
- Numbers k such that 163*2^k+1 is prime.at n=33A032458
- Decimal part of cube root of a(n) starts with 6: first term of runs.at n=17A034132
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 3).at n=43A035538
- Number of partitions in parts not of the form 11k, 11k+1 or 11k-1. Also number of partitions with no part of size 1 and differences between parts at distance 4 are greater than 1.at n=44A035944
- Denominators of continued fraction convergents to sqrt(280).at n=11A041527
- a(n) = floor(47*(n-3/2)^(3/2)).at n=29A050256
- Occurrences of most frequently occurring number in 1-to-n 5-dimensional multiplication table.at n=19A057344
- Numbers n such that phi(n) + phi(n+1) = sigma(n)/2.at n=9A076647
- Smallest initial values leading to fixed points listed in A077092.at n=3A077093
- Numbers k such that iterating phi(sigma(k)-phi(k)) starting from k leads to the fixed point 8064.at n=0A077096
- Expansion of x^4*(2+x)/((1+x)*(1-x)^5).at n=16A082289
- Expansion of (1+x+x^2)/((1+x^2)*(1+x)^4*(1-x)^5).at n=33A082290
- a(n)=a(n-1)+sum of digits(a(n-1))*sum of digits(a(n-2)).at n=31A108720
- Numbers k such that both k and the k-th prime have nonincreasing digits.at n=42A116067
- Expansion of f(-x^4, -x^16) / psi(-x) in powers of x where psi() is a Ramanujan theta function and f(, ) is Ramanujan's general theta function.at n=50A122130
- a(n) = 4*n^2 + 28*n + 10.at n=39A153644