Properties of the Number 4988

Four Thousand Nine Hundred Eighty-Eight

Basics

Value: 4987 → 4988 → 4989

Parity: even

Prime: No

Previous Prime: 4987

Next Prime: 4993

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 29 × 43

Divisors: 1, 2, 4, 29, 43, 58, 86, 116, 172, 1247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1001101111100

Octal: 11574

Duodecimal: 2A78

Hexadecimal: 137c

Square: 24880144

Square Root: 70.6257743320383

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

Four times pentagonal numbers: a(n) = 2·n*(3·n-1). A33579

Smallest multiple of n whose digits sum to n. A2998

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than one of its horizontal and antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281056

a(n) = binomial(2·n,n) mod ((n+1)*(n+2)). A65344

Largest possible side length for a perfect squared square of order n; or 0 if no such square exists. A217149

Sum of the smallest parts of the partitions of 4n into 4 parts with smallest part greater than 1. A238706

Number of partitions of n where the difference between consecutive parts is at most 6. A238866

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 0 1 3 6 or 7. A252157

Edge length of largest square dissectable into up to n squares in Mrs. Perkins's quilt problem. A89047

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 3,0,1,4,2 for x=0,1,2,3,4. A196300