4,476,572

2² × 397 × 2819

4,476,572 factors as 2^2 × 397 × 2819. Its 12 positive divisors give a proper-divisor sum of 3,379,948, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2^2 × 397 × 2819

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,856,520

Proper Divisor Sum 3,379,948

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #4476569 ← → #4476581

Radix Representation

Decimal	4476572
Binary	10001000100111010011100 (23 bits)
Octal	0o21047234
Hexadecimal	0x444E9C

Divisor Catalog (12)

1 2 4 397 794 1,588 2,819 5,638 11,276 1,119,143 2,238,286 4,476,572

Collatz Trajectory (211 steps to reach 1)

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

4,476,572 2,238,286 1,119,143 3,357,430 1,678,715 5,036,146 2,518,073 7,554,220 3,777,110 1,888,555 5,665,666 2,832,833 8,498,500 4,249,250 2,124,625 6,373,876 3,186,938 1,593,469 4,780,408 2,390,204 1,195,102 597,551 1,792,654 896,327 2,688,982 1,344,491 4,033,474 2,016,737 6,050,212 3,025,106 1,512,553 4,537,660 2,268,830 1,134,415 3,403,246 1,701,623 5,104,870 2,552,435 7,657,306 3,828,653 11,485,960 5,742,980 2,871,490 1,435,745 4,307,236 2,153,618 1,076,809 3,230,428 1,615,214 807,607 2,422,822 1,211,411 3,634,234 1,817,117 5,451,352 2,725,676 1,362,838 681,419 2,044,258 1,022,129

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