8,274,752

2⁶ × 129293

8,274,752 factors as 2^6 × 129293. Its 14 positive divisors give a proper-divisor sum of 8,145,586, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^6 × 129293

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 16,420,338

Proper Divisor Sum 8,145,586

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8274751 ← → #8274793

Radix Representation

Decimal	8274752
Binary	11111100100001101000000 (23 bits)
Octal	0o37441500
Hexadecimal	0x7E4340

Divisor Catalog (14)

1 2 4 8 16 32 64 129,293 258,586 517,172 1,034,344 2,068,688 4,137,376 8,274,752

Collatz Trajectory (155 steps to reach 1)

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

8,274,752 4,137,376 2,068,688 1,034,344 517,172 258,586 129,293 387,880 193,940 96,970 48,485 145,456 72,728 36,364 18,182 9,091 27,274 13,637 40,912 20,456 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478 3,239 9,718 4,859 14,578 7,289 21,868 10,934 5,467 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460

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