3,677,795

5 × 11² × 6079

For 3,677,795, the 12 positive divisors have a total of 4,851,840. Removing 3,677,795 leaves 1,174,045, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 11^2 × 6079

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,851,840

Proper Divisor Sum 1,174,045

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #3677789 ← → #3677803

Radix Representation

Decimal	3677795
Binary	1110000001111001100011 (22 bits)
Octal	0o16017143
Hexadecimal	0x381E63

Divisor Catalog (12)

1 5 11 55 121 605 6,079 30,395 66,869 334,345 735,559 3,677,795

Collatz Trajectory (159 steps to reach 1)

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

3,677,795 11,033,386 5,516,693 16,550,080 8,275,040 4,137,520 2,068,760 1,034,380 517,190 258,595 775,786 387,893 1,163,680 581,840 290,920 145,460 72,730 36,365 109,096 54,548 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

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