7410
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 12750
- 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
- 1728
- Möbius Function
- -1
- Radical
- 7410
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- 163
- 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 Product_{k>=1} (1 - x^k)^19.at n=8A010825
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=40A011890
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=36A013593
- Number of solutions to c(1)*prime(3) + ... + c(n)*prime(n+2) = 0, where c(i) = +-1 for i>1, c(1) = 1.at n=21A022900
- n written in fractional base 10/7.at n=30A024662
- a(n) = floor(n^2/4)*(n/2).at n=39A034828
- Number of partitions in parts not of the form 17k, 17k+1 or 17k-1. Also number of partitions with no part of size 1 and differences between parts at distance 7 are greater than 1.at n=41A035962
- Number of partitions of n into parts not of the form 23k, 23k+7 or 23k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=32A035995
- Sums of 6 distinct powers of 3.at n=38A038468
- Growth function of an infinite cubic graph (number of nodes at distance <=n from fixed node).at n=25A038621
- Denominators of continued fraction convergents to sqrt(948).at n=9A042835
- Products of exactly 5 distinct primes.at n=12A046387
- a(n) = ceiling(n*(n+1)*(n+2)/8).at n=38A047866
- Numbers that are divisible by exactly 5 different primes.at n=16A051270
- a(n) is both the sum of n+1 consecutive integers and the sum of the n immediately higher consecutive integers.at n=19A059270
- Prime(n^2) +/- n are primes.at n=27A064495
- Integers which have at least two different factorizations into coprime parts whose sum are equal.at n=29A069064
- Triangle read by rows of numbers of paths in a lattice satisfying certain conditions.at n=40A071949
- Duplicate of A076978.at n=11A074168
- Product of the distinct primes dividing the product of composite numbers between consecutive primes.at n=11A076978