Properties of the Number 18675

Eighteen Thousand Six Hundred Seventy-Five

Basics

Value: 18674 → 18675 → 18676

Parity: odd

Prime: No

Previous Prime: 18671

Next Prime: 18679

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 ² × 83

Divisors: 1, 3, 5, 9, 15, 25, 45, 75, 83, 225

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 100100011110011

Octal: 44363

Duodecimal: A983

Hexadecimal: 48f3

Square: 348755625

Square Root: 136.65650368716447

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

Number of integer partitions of n such that every set of distinct parts has a different sum. A325862

Numbers k such that 4·k-1, 8·k-1, 16·k-1 and 32·k-1 are all primes. A101794

Coefficient of·in the reduction by x²->x+1 of the polynomial p(n,x) defined below in Comments. A192762

Expansion of ∏_m>=1 (1 + m·q^m)³. A22631

Where records occur in A129385. A129387

a(n) = A068346(A276086(n)), where A068346 is the second arithmetic derivative, and A276086 is the primorial base exp-function. A370131

a(n) = (1/2)*(n+1)!*∑_{k=0..floor(n/2)} n^2k+1/(2k+1)!. A46706

Number of base-3 pyramids of height n. A186507

Number of n X n binary arrays symmetric about both diagonal and antidiagonal with all ones connected only in a 0100-1111-0100 pattern in any orientation. A146377

T(n,k)=Number of 0..k arrays x(0..n-1) of n elements with nondecreasing average value and 0..k occur with instance counts within one of each other. A200942