3,301,075

5² × 23 × 5741

3,301,075 factors as 5^2 × 23 × 5741. Its 12 positive divisors give a proper-divisor sum of 970,973, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 5^2 × 23 × 5741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,272,048

Proper Divisor Sum 970,973

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #3301073 ← → #3301091

Radix Representation

Decimal	3301075
Binary	1100100101111011010011 (22 bits)
Octal	0o14457323
Hexadecimal	0x325ED3

Divisor Catalog (12)

1 5 23 25 115 575 5,741 28,705 132,043 143,525 660,215 3,301,075

Collatz Trajectory (84 steps to reach 1)

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

3,301,075 9,903,226 4,951,613 14,854,840 7,427,420 3,713,710 1,856,855 5,570,566 2,785,283 8,355,850 4,177,925 12,533,776 6,266,888 3,133,444 1,566,722 783,361 2,350,084 1,175,042 587,521 1,762,564 881,282 440,641 1,321,924 660,962 330,481 991,444 495,722 247,861 743,584 371,792 185,896 92,948 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98

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