6,908,272

2⁴ × 7 × 61681

6,908,272 factors as 2^4 × 7 × 61681. Its 20 positive divisors give a proper-divisor sum of 8,388,864, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 61681

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 15,297,136

Proper Divisor Sum 8,388,864

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6908263 ← → #6908281

Radix Representation

Decimal	6908272
Binary	11010010110100101110000 (23 bits)
Octal	0o32264560
Hexadecimal	0x696970

Divisor Catalog (20)

Collatz Trajectory (85 steps to reach 1)

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

6,908,272 3,454,136 1,727,068 863,534 431,767 1,295,302 647,651 1,942,954 971,477 2,914,432 1,457,216 728,608 364,304 182,152 91,076 45,538 22,769 68,308 34,154 17,077 51,232 25,616 12,808 6,404 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205

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