3,562,002

2 × 3³ × 65963

3,562,002 factors as 2 × 3^3 × 65963. Its 16 positive divisors give a proper-divisor sum of 4,353,678, so this integer is abundant. The Collatz stopping time is 296 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 65963

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,915,680

Proper Divisor Sum 4,353,678

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3561997 ← → #3562019

Radix Representation

Decimal	3562002
Binary	1101100101101000010010 (22 bits)
Octal	0o15455022
Hexadecimal	0x365A12

Divisor Catalog (16)

1 2 3 6 9 18 27 54 65,963 131,926 197,889 395,778 593,667 1,187,334 1,781,001 3,562,002

Collatz Trajectory (296 steps to reach 1)

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

3,562,002 1,781,001 5,343,004 2,671,502 1,335,751 4,007,254 2,003,627 6,010,882 3,005,441 9,016,324 4,508,162 2,254,081 6,762,244 3,381,122 1,690,561 5,071,684 2,535,842 1,267,921 3,803,764 1,901,882 950,941 2,852,824 1,426,412 713,206 356,603 1,069,810 534,905 1,604,716 802,358 401,179 1,203,538 601,769 1,805,308 902,654 451,327 1,353,982 676,991 2,030,974 1,015,487 3,046,462 1,523,231 4,569,694 2,284,847 6,854,542 3,427,271 10,281,814 5,140,907 15,422,722 7,711,361 23,134,084 11,567,042 5,783,521 17,350,564 8,675,282 4,337,641 13,012,924 6,506,462 3,253,231 9,759,694 4,879,847

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