1,032,896

2⁶ × 16139

1,032,896 factors as 2^6 × 16139. Its 14 positive divisors give a proper-divisor sum of 1,016,884, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^6 × 16139

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 2,049,780

Proper Divisor Sum 1,016,884

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1032887 ← → #1032901

Radix Representation

Decimal	1032896
Binary	11111100001011000000 (20 bits)
Octal	0o3741300
Hexadecimal	0xFC2C0

Divisor Catalog (14)

1 2 4 8 16 32 64 16,139 32,278 64,556 129,112 258,224 516,448 1,032,896

Collatz Trajectory (196 steps to reach 1)

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

1,032,896 516,448 258,224 129,112 64,556 32,278 16,139 48,418 24,209 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194

More profiles

7,747,230 1,704,117 7,142,154 9,878,629 2,681,469 5,571,713 292,230 6,401,649 1,454,580 5,643,773 3,323,719 4,586,087 8,840,725 6,145,666 4,529,929 2,435,601

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