Properties of the Number 74784

Seventy-Four Thousand Seven Hundred Eighty-Four

Basics

Value: 74783 → 74784 → 74785

Parity: even

Prime: No

Previous Prime: 74779

Next Prime: 74797

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 19 × 41

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 19, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010000100000

Octal: 222040

Duodecimal: 37340

Hexadecimal: 12420

Square: 5592646656

Square Root: 273.46663416219536

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

Smaller member of an infinitary amicable pair. A126169

T(n,k) = number of (n+2) X (k+2) binary matrices with every 3 X 3 block having exactly four 1's. A181262

a(n) = 1 + (1200 + (634 + (225 + (85 + (15 + n)*n)*n)*n)*n)*n/720. A145128

Number of set partitions C_t(n) of {1,2,...,t} into at most n parts, with an even number of elements in each part distinguished by marks; triangle C_t(n), t>=0, 0<=n<=t, read by rows. A261275

Infinitary amicable numbers. A127664

Number of (n+2)X4 binary matrices with every 3X3 block having exactly four 1's. A181256

Number of (n+2)X9 binary matrices with every 3X3 block having exactly four 1's. A181261

Expansion of ∏_k>0 (1 - q^3·k)⁵/((1 - q^k)³*(1 - q^6·k)²). A293423

Self-convolution forms A093638. A93639

a(n) = a(n-1) + square of the sum of digits of n. A74784