2,788,216

2³ × 348527

2,788,216 factors as 2^3 × 348527. Its 8 positive divisors give a proper-divisor sum of 2,439,704, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^3 × 348527

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,227,920

Proper Divisor Sum 2,439,704

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2788213 ← → #2788217

Radix Representation

Decimal	2788216
Binary	1010101000101101111000 (22 bits)
Octal	0o12505570
Hexadecimal	0x2A8B78

Divisor Catalog (8)

1 2 4 8 348,527 697,054 1,394,108 2,788,216

Collatz Trajectory (200 steps to reach 1)

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

2,788,216 1,394,108 697,054 348,527 1,045,582 522,791 1,568,374 784,187 2,352,562 1,176,281 3,528,844 1,764,422 882,211 2,646,634 1,323,317 3,969,952 1,984,976 992,488 496,244 248,122 124,061 372,184 186,092 93,046 46,523 139,570 69,785 209,356 104,678 52,339 157,018 78,509 235,528 117,764 58,882 29,441 88,324 44,162 22,081 66,244 33,122 16,561 49,684 24,842 12,421 37,264 18,632 9,316 4,658 2,329 6,988 3,494 1,747 5,242 2,621 7,864 3,932 1,966 983 2,950

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