7478
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 11220
- Proper Divisor Sum (Aliquot Sum)
- 3742
- 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
- 3738
- Möbius Function
- 1
- Radical
- 7478
- 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
- 114
- 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
- yes
- Odd
- no
Appears in sequences
- Coordination sequence for FeS2-Pyrite, Fe position.at n=42A009957
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=22A020409
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 86.at n=6A031584
- n*10^3-1, n*10^3-3, n*10^3-7 and n*10^3-9 are all prime.at n=6A064977
- Numbers that are not the sum of two triangular numbers and a fourth power.at n=40A115160
- Number of 2 X 2 singular integer matrices with elements from {1,...,n}.at n=42A134506
- Number of n X n binary arrays symmetric about the diagonal and under 90-degree rotation with all ones connected only either three adjacent vertically or three adjacent horizontally.at n=16A145762
- 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, 1), (1, -1, 1), (1, 0, 1), (1, 1, 0)}.at n=7A150523
- Number of lines through at least 2 points of a 6 X n grid of points.at n=30A160846
- Number of subsets of {1,...,n} containing two elements whose difference is 2.at n=13A209398
- Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part of p.at n=34A241413
- Numbers n such that n!3 + 3 is prime, where n!3 = n!!! is a triple factorial number (A007661).at n=33A249400
- Numbers k such that f(k), f(k+1) and f(k+2) are all primes, where f(k) = (2k+1)^2 - 2 (A073577).at n=31A293620
- Least number of consecutive primes beginning with 2, the sum of which (A007504) is >= 2^n.at n=28A323360
- Numbers that are the sum of eight fourth powers in five or more ways.at n=29A345580
- Numbers that are the sum of nine fourth powers in six or more ways.at n=39A345590
- Numbers that are the sum of eight fourth powers in exactly five ways.at n=23A345837
- Numbers that are the sum of nine fourth powers in exactly six ways.at n=28A345848
- a(n) is the total number of runs of descents over all flattened Catalan words of length n.at n=7A372874