9487
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9720
- Proper Divisor Sum (Aliquot Sum)
- 233
- 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
- 9256
- Möbius Function
- 1
- Radical
- 9487
- 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
- 60
- 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
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/32 ).at n=25A011942
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=30A020419
- Ordered sequence of distinct terms of the form floor(Pi^i * floor(Pi^j)), i, j >= 0.at n=28A022767
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 31 ones.at n=1A031799
- a(n) is root of square starting with digit 9: first term of runs.at n=5A035076
- Numerators of continued fraction convergents to sqrt(287).at n=4A041540
- Numbers k such that 299*2^k + 1 is prime.at n=25A053366
- Leading term of n-th row of A081491.at n=31A081490
- Number of partitions of the n-th minimal number into distinct minimal numbers.at n=29A099388
- Number of imprimitive transitive permutation groups of degree n.at n=41A132221
- 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, 1), (-1, 0, 0), (0, 1, 0), (1, -1, 0), (1, 1, -1)}.at n=10A148135
- Arithmetic mean of primes on square intervals such that the mean is an integer.at n=15A161348
- a(n) = 8*n^2 + 7*n + 1.at n=34A194268
- a(n) = floor(6^n/(2+2*cos(Pi/9))^n).at n=21A240733
- a(n) = 9*n^2 - 237*n + 1927.at n=45A258841
- The number of overpartitions of n with restricted odd differences and smallest part both odd and overlined.at n=28A261037
- Numbers k at which point A336459(k) appears multiplicative, but A051027(k) does not.at n=15A336561
- Numbers k such that k + the sum of the 4th powers of the decimal digits of k is a square.at n=43A338235
- Positive numbers whose square starts and ends with exactly one 9.at n=43A348491
- Discriminants of imaginary quadratic fields with class number 38 (negated).at n=23A351676