Properties of the Number 4774

Four Thousand Seven Hundred Seventy-Four

Basics

Value: 4773 → 4774 → 4775

Parity: even

Prime: No

Previous Prime: 4759

Next Prime: 4783

Digit Sum: 22

Digital Root: 4

Palindrome: Yes

Factorization: 2 × 7 × 11 × 31

Divisors: 1, 2, 7, 11, 14, 22, 31, 62, 77, 154

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 1001010100110

Octal: 11246

Duodecimal: 291A

Hexadecimal: 12a6

Square: 22791076

Square Root: 69.0941386804988

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

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

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

The number of n-full sets, F(n). A188431

Squarefree integers m > 1 such that if prime p divides m, then the sum of the base p digits of m is at least p. A324315

Number T(n,k) of equivalence classes of ways of placing k 3 X 3 tiles in an n X 8 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=3, 0<=k<=2·floor(n/3), read by rows. A238558

a(n) is the smallest number of the form k + reverse(k) for exactly n integers k, or -1 if no such number exists. A72041

Palindromic and divisible by 7. A45642

T(n,k)=Number of (n+2)X(k+2) binary arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order. A184548

Multiples of 11 whose digit sum is a multiple of 11. A216995

Square array A(n,k) = A341527(A246278(n,k)), read by falling antidiagonals; denominators of the columnwise first quotients of A341605/A341606. A341627

a(1) = 0, a(2) = 1, and for n > 2, a(n) = 2·a(A252463(n)) + [n == 1 (mod 6)]. A292941