10080
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 72
- Divisor Sum
- 39312
- Proper Divisor Sum (Aliquot Sum)
- 29232
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2304
- Möbius Function
- 0
- Radical
- 210
- Omega Function (Ω)
- 9
- 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
- 42
- 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
- a(n) = (3n)!/(3!n!).at n=2A001525
- Highly composite numbers: numbers n where d(n), the number of divisors of n (A000005), increases to a record.at n=20A002182
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=34A002653
- Denominators of coefficients for repeated integration.at n=2A002684
- Denominators of coefficients for repeated integration.at n=4A002688
- Denominators of coefficients for repeated integration.at n=5A002689
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=34A002706
- Number of n-step closed paths on hexagonal lattice.at n=7A002898
- Smallest number with 2n divisors.at n=35A003680
- Superabundant [or super-abundant] numbers: n such that sigma(n)/n > sigma(m)/m for all m < n, sigma(n) being A000203(n), the sum of the divisors of n.at n=19A004394
- Where records occur in A038548.at n=17A004778
- The minimal numbers: sequence A005179 arranged in increasing order.at n=38A007416
- Triangle of coefficients of expansions of powers of x in terms of Legendre polynomials P_n(x) over common denominator.at n=39A008317
- a(n+1) = a(n)/n if n|a(n) else a(n)*n, a(1) = 1.at n=9A008336
- Coordination sequence for MgNi2, Position Ni1.at n=25A009933
- arctanh(arctan(x)*log(x+1))=2/2!*x^2-3/3!*x^3-10/5!*x^5+448/6!*x^6...at n=8A012404
- Number of ordered quadruples of integers from [ 1,n ] with no common factors between pairs.at n=37A015636
- a(1)=1; for n > 1, a(n) is the smallest number with the same number of divisors as 2*a(n-1).at n=15A019505
- Least highly composite number divisible by n.at n=31A022404
- Theta series of A*_9 lattice.at n=61A023921