7414
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12168
- Proper Divisor Sum (Aliquot Sum)
- 4754
- 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
- 3360
- Möbius Function
- -1
- Radical
- 7414
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 132
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 78.at n=18A020417
- n written in fractional base 10/7.at n=34A024662
- Inverse Euler transform of {1, primes}.at n=54A030011
- 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=1A031584
- Positive numbers having the same set of digits in base 9 and base 10.at n=29A037443
- McKay-Thompson series of class 10B for the Monster group with a(0) = 0.at n=20A058098
- Positive numbers whose product of digits is 7 times their sum.at n=22A062384
- Composite numbers k such that sigma(k)*(phi(k) + 2) is a square.at n=18A065655
- Floor(n^3/8).at n=39A081276
- Number of different sets of n-gons labeled 1...n such that all members of each set contain equivalent paths with increasing labels; i.e., the number of isotemporal classes of n-gons.at n=15A092481
- Non-palindromic numbers n such that phi(n) = phi(reversal(n)).at n=9A097647
- Let pi be an unrestricted partition of n with the summands written in binary notation. a(n) is the number of such partitions whose binary representation has an odd number of binary ones.at n=35A102437
- McKay-Thompson series of class 20A for the Monster group.at n=20A112158
- Number of binary words whose (unique) decreasing Lyndon decomposition is into Lyndon words each with an even number of 1's; EULER transform of A051841.at n=16A123915
- McKay-Thompson series of class 10B for the Monster group with a(0) = -4.at n=20A132040
- 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, 0), (-1, -1, 1), (-1, 0, 1), (-1, 1, -1), (1, 0, 0)}.at n=11A148013
- Triangle T, read by rows, where column k of T = column 0 of matrix power T^(k+1) for k>0, with column 0 of T = unsigned column 0 of T^-1 (shifted).at n=30A152400
- Column 2 of triangle A152400.at n=5A152402
- Partial sums of A160120.at n=31A162778
- Upper bound for the determinant of an n X n matrix whose elements are a permutation of the first n^2 prime numbers.at n=2A180127