3,796,525

5² × 17 × 8933

3,796,525 factors as 5^2 × 17 × 8933. Its 12 positive divisors give a proper-divisor sum of 1,188,647, so this integer is deficient. The Collatz stopping time is 216 steps.

Prime Factor Structure

Factorization String 5^2 × 17 × 8933

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,985,172

Proper Divisor Sum 1,188,647

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3796501 ← → #3796531

Radix Representation

Decimal	3796525
Binary	1110011110111000101101 (22 bits)
Octal	0o16367055
Hexadecimal	0x39EE2D

Divisor Catalog (12)

1 5 17 25 85 425 8,933 44,665 151,861 223,325 759,305 3,796,525

Collatz Trajectory (216 steps to reach 1)

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

3,796,525 11,389,576 5,694,788 2,847,394 1,423,697 4,271,092 2,135,546 1,067,773 3,203,320 1,601,660 800,830 400,415 1,201,246 600,623 1,801,870 900,935 2,702,806 1,351,403 4,054,210 2,027,105 6,081,316 3,040,658 1,520,329 4,560,988 2,280,494 1,140,247 3,420,742 1,710,371 5,131,114 2,565,557 7,696,672 3,848,336 1,924,168 962,084 481,042 240,521 721,564 360,782 180,391 541,174 270,587 811,762 405,881 1,217,644 608,822 304,411 913,234 456,617 1,369,852 684,926 342,463 1,027,390 513,695 1,541,086 770,543 2,311,630 1,155,815 3,467,446 1,733,723 5,201,170

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