7,809,296

2⁴ × 11 × 44371

7,809,296 factors as 2^4 × 11 × 44371. Its 20 positive divisors give a proper-divisor sum of 8,697,088, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 44371

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,506,384

Proper Divisor Sum 8,697,088

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #7809253 ← → #7809343

Radix Representation

Decimal	7809296
Binary	11101110010100100010000 (23 bits)
Octal	0o35624420
Hexadecimal	0x772910

Divisor Catalog (20)

Collatz Trajectory (80 steps to reach 1)

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

7,809,296 3,904,648 1,952,324 976,162 488,081 1,464,244 732,122 366,061 1,098,184 549,092 274,546 137,273 411,820 205,910 102,955 308,866 154,433 463,300 231,650 115,825 347,476 173,738 86,869 260,608 130,304 65,152 32,576 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232

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