1530
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 4212
- Proper Divisor Sum (Aliquot Sum)
- 2682
- 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
- 384
- Möbius Function
- 0
- Radical
- 510
- Omega Function (Ω)
- 5
- 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
- 47
- Smith Number
- no
- Vampire Number
- yes
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
- Related to population of numbers of form x^2 + y^2.at n=12A000709
- A Fielder sequence.at n=10A001649
- Related to Zarankiewicz's problem.at n=53A001841
- Number of series-reduced planted trees with n+9 nodes and 4 internal nodes.at n=14A001860
- Denominator in Feinler's formula for unsigned Bernoulli number |B_{2n}|.at n=8A002444
- Denominators of Cauchy numbers of second type (= Bernoulli numbers B_n^{(n)}).at n=16A002790
- Numbers k such that 2*25^k - 1 is prime.at n=11A002958
- Numbers that are the sum of 11 positive 6th powers.at n=24A003367
- Denominators of Cauchy numbers of first type.at n=16A006233
- Numbers not of form p + 2^x + 2^y.at n=29A006286
- Number of meanders in which first bridge is 3.at n=10A006660
- Oscillates under partition transform.at n=31A007211
- Oscillates under partition transform.at n=40A007212
- Numbers k such that sigma(x) = k has exactly 3 solutions.at n=43A007372
- Coordination sequence T2 for Zeolite Code ATT.at n=28A008042
- Coordination sequence T2 for Zeolite Code ATV.at n=25A008044
- Coordination sequence T3 for Zeolite Code FER.at n=24A008108
- Coordination sequence T1 for Zeolite Code -CLO.at n=35A009850
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=36A011910
- Numbers k such that s(j) < s(k) for all j < k, where s = A014405.at n=54A014407