3,507,064

2³ × 11² × 3623

3,507,064 factors as 2^3 × 11^2 × 3623. Its 24 positive divisors give a proper-divisor sum of 3,722,816, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^3 × 11^2 × 3623

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,229,880

Proper Divisor Sum 3,722,816

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3507059 ← → #3507079

Radix Representation

Decimal	3507064
Binary	1101011000001101111000 (22 bits)
Octal	0o15301570
Hexadecimal	0x358378

Divisor Catalog (24)

Collatz Trajectory (208 steps to reach 1)

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

3,507,064 1,753,532 876,766 438,383 1,315,150 657,575 1,972,726 986,363 2,959,090 1,479,545 4,438,636 2,219,318 1,109,659 3,328,978 1,664,489 4,993,468 2,496,734 1,248,367 3,745,102 1,872,551 5,617,654 2,808,827 8,426,482 4,213,241 12,639,724 6,319,862 3,159,931 9,479,794 4,739,897 14,219,692 7,109,846 3,554,923 10,664,770 5,332,385 15,997,156 7,998,578 3,999,289 11,997,868 5,998,934 2,999,467 8,998,402 4,499,201 13,497,604 6,748,802 3,374,401 10,123,204 5,061,602 2,530,801 7,592,404 3,796,202 1,898,101 5,694,304 2,847,152 1,423,576 711,788 355,894 177,947 533,842 266,921 800,764

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