3,602,865

3 × 5 × 7 × 34313

3,602,865 factors as 3 × 5 × 7 × 34313. Its 16 positive divisors give a proper-divisor sum of 2,985,423, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 34313

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,588,288

Proper Divisor Sum 2,985,423

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3602831 ← → #3602869

Radix Representation

Decimal	3602865
Binary	1101101111100110110001 (22 bits)
Octal	0o15574661
Hexadecimal	0x36F9B1

Divisor Catalog (16)

1 3 5 7 15 21 35 105 34,313 102,939 171,565 240,191 514,695 720,573 1,200,955 3,602,865

Collatz Trajectory (115 steps to reach 1)

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

3,602,865 10,808,596 5,404,298 2,702,149 8,106,448 4,053,224 2,026,612 1,013,306 506,653 1,519,960 759,980 379,990 189,995 569,986 284,993 854,980 427,490 213,745 641,236 320,618 160,309 480,928 240,464 120,232 60,116 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638

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