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Properties of the Number 4662

Four Thousand Six Hundred Sixty-Two

Basics

Value: 4661 → 4662 → 4663

Parity: even

Prime: No

Previous Prime: 4657

Next Prime: 4663

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 2 × 7 × 37

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 37

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1001000110110

Octal: 11066

Duodecimal: 2846

Hexadecimal: 1236

Square: 21734244

Square Root: 68.27884006044626

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

The convolution matrix of the double factorial of odd numbers (A001147). A35342
G.f.: ∏k>=1 (1 + 2·xk). A32302
7 times triangular numbers: 7·n*(n+1)/2. A24966
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
When expressed in base 3 and then interpreted in base 7, is a multiple of the original number. A62884
Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=7. A135192
Number of ways to place 2 nonattacking knights on an n X n board. A172132
Array read by antidiagonals: T(n,k)=number of permutations p() of 1..n+k with centered difference p(i+1)-p(i-1) < 0 exactly k-1 times. A180887
T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000000 00000001 or 00000011. A259894
Regular triangle where T(n,k) is the number of pairs of set partitions of {1,...,n} with join of length k. A318392