8,827,432

2³ × 61 × 18089

8,827,432 factors as 2^3 × 61 × 18089. Its 16 positive divisors give a proper-divisor sum of 7,996,268, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 61 × 18089

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,823,700

Proper Divisor Sum 7,996,268

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8827417 ← → #8827433

Radix Representation

Decimal	8827432
Binary	100001101011001000101000 (24 bits)
Octal	0o41531050
Hexadecimal	0x86B228

Divisor Catalog (16)

1 2 4 8 61 122 244 488 18,089 36,178 72,356 144,712 1,103,429 2,206,858 4,413,716 8,827,432

Collatz Trajectory (150 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,827,432 4,413,716 2,206,858 1,103,429 3,310,288 1,655,144 827,572 413,786 206,893 620,680 310,340 155,170 77,585 232,756 116,378 58,189 174,568 87,284 43,642 21,821 65,464 32,732 16,366 8,183 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905 20,716 10,358 5,179 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341

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