Properties of the Number 29278

Twenty-Nine Thousand Two Hundred Seventy-Eight

Basics

Value: 29277 → 29278 → 29279

Parity: even

Prime: No

Previous Prime: 29269

Next Prime: 29287

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 14639

Divisors: 1, 2, 14639, 29278

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111001001011110

Octal: 71136

Duodecimal: 14B3A

Hexadecimal: 725e

Square: 857201284

Square Root: 171.10815293258239

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

Total sum T(n,k) of the sizes of all blocks with maximal element k in all set partitions of {1,2,...,n}; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A270701

Total sum T(n,k) of the sizes of all blocks with minimal element k in all set partitions of {1,2,...,n}; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A270702

T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12. A234114

G.f. satisfies: A(x/A(x)²) = C(x) where C(x) = 1 + x·C(x)² is the g.f. of the Catalan numbers (A000108). A168448

a(n) is the smallest integer k such that the n-th (backward) difference of the partition sequence A000041 is positive from k onwards. A155861

Total sum of the sizes of all blocks with maximal element 7 in all set partitions of {1,2,...,n}. A270761

Total sum of the sizes of all blocks with minimal element 3 in all set partitions of {1,2,...,n}. A270766

Numbers k such that A001414(k) is a square and sets a new record for squares. A64463

Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12. A234108

Number of (n+1)X(5+1) 0..4 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 12. A234111