Properties of the Number 74116

Seventy-Four Thousand One Hundred Sixteen

Basics

Value: 74115 → 74116 → 74117

Parity: even

Prime: No

Previous Prime: 74101

Next Prime: 74131

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7 × 2647

Divisors: 1, 2, 4, 7, 14, 28, 2647, 5294, 10588, 18529

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010000110000100

Octal: 220604

Duodecimal: 36A84

Hexadecimal: 12184

Square: 5493181456

Square Root: 272.24253892439367

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

E.g.f. satisfies A(x) = exp(x + 3·x²/2·A(x)²). A362475

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_{j=0..floor(n/2)} (k/2)^j * (2·j+1)^n-j-1 / (j! * (n-2·j)!). A362483

Number of length n+3 0..3 arrays with no pair in any consecutive four terms totalling exactly 3. A246474

a(n) = n * (7·binomial(n, 2) + 1). A329530

T(n,k)=Number of length n+3 0..k arrays with no pair in any consecutive four terms totalling exactly k. A246479

Largest n-digit power of 2. A74116

Number of nX5 0..1 arrays with every element unequal to 0, 1, 2, 3, 4, 5 or 6 king-move adjacent elements, with upper left element zero. A316805