Properties of the Number 6174

Six Thousand One Hundred Seventy-Four

Basics

Value: 6173 → 6174 → 6175

Parity: even

Prime: No

Previous Prime: 6173

Next Prime: 6197

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 ³

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100000011110

Octal: 14036

Duodecimal: 36A6

Hexadecimal: 181e

Square: 38118276

Square Root: 78.57480512225277

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: Yes

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Fixed points of the Kaprekar mapping f(n) = n' - n'', where in n' the digits of n are arranged in descending, in n'' in ascending order. A99009

a(n) = n³ + n² + n. A27444

Number of partitions of n such that 2*(greatest part) = (number of parts). A237753

a(n) = 14·n². A144555

Number of partitions satisfying (cn(2,5) = cn(3,5) = 0). A36820

Composite numbers such that the square root of the sum of squares of their prime factors (with multiplicity) is an integer. A134605

Trajectory of n under the Reverse and Add! operation carried out in base 4 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n. A75421

Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles, including fixed points. A164716

Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives least elements of each cycle, including fixed points. A164718

Concentric 14-gonal numbers. A195145