Properties of the Number 23798

Twenty-Three Thousand Seven Hundred Ninety-Eight

Basics

Value: 23797 → 23798 → 23799

Parity: even

Prime: No

Previous Prime: 23789

Next Prime: 23801

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 × 73 × 163

Divisors: 1, 2, 73, 146, 163, 326, 11899, 23798

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 101110011110110

Octal: 56366

Duodecimal: 11932

Hexadecimal: 5cf6

Square: 566344804

Square Root: 154.26600403199663

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

T(n,k)=Number of nXk 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281715

T(n,k)=Number of nXk 0..1 arrays with exactly floor(nXk/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order. A222290

∏_n>=1 (1 + a(n)*xⁿ) = 1 + ∑_n>=1 φ(n)*xⁿ, where φ = A000010. A353925

Self-convolution of Lucas numbers. A99924

Sequence with Hankel transform equal to 3^floor(n²/3). A168494

Number of partitions of n into 9 parts such that every i-th smallest part (counted with multiplicity) is different from i. A244245

a(n) is the number of perfect powers m^k with k>=3 (A076467) <= 10ⁿ. A377934

Number of nX3 0..1 arrays with exactly floor(nX3/2) elements unequal to at least one horizontal or vertical neighbor, with new values introduced in row major 0..1 order. A222285

Number of 4Xn 0..1 arrays with no element unequal to a strict majority of its horizontal, diagonal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards. A281718

Xenodromes: all digits in base 3 are different. A23798