46,523,798

2 × 17² × 80491

46,523,798 factors as 2 × 17^2 × 80491. Its 12 positive divisors give a proper-divisor sum of 27,609,334, so this integer is deficient. The Collatz stopping time is 217 steps.

Prime Factor Structure

Factorization String 2 × 17^2 × 80491

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 74,133,132

Proper Divisor Sum 27,609,334

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #46523797 ← → #46523831

Radix Representation

Decimal	46523798
Binary	10110001011110010110010110 (26 bits)
Octal	0o261362626
Hexadecimal	0x2C5E596

Divisor Catalog (12)

1 2 17 34 289 578 80,491 160,982 1,368,347 2,736,694 23,261,899 46,523,798

Collatz Trajectory (217 steps to reach 1)

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

46,523,798 23,261,899 69,785,698 34,892,849 104,678,548 52,339,274 26,169,637 78,508,912 39,254,456 19,627,228 9,813,614 4,906,807 14,720,422 7,360,211 22,080,634 11,040,317 33,120,952 16,560,476 8,280,238 4,140,119 12,420,358 6,210,179 18,630,538 9,315,269 27,945,808 13,972,904 6,986,452 3,493,226 1,746,613 5,239,840 2,619,920 1,309,960 654,980 327,490 163,745 491,236 245,618 122,809 368,428 184,214 92,107 276,322 138,161 414,484 207,242 103,621 310,864 155,432 77,716 38,858 19,429 58,288 29,144 14,572 7,286 3,643 10,930 5,465 16,396 8,198

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