1,007,145

3² × 5 × 22381

1,007,145 factors as 3^2 × 5 × 22381. Its 12 positive divisors give a proper-divisor sum of 738,651, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 22381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,745,796

Proper Divisor Sum 738,651

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1007137 ← → #1007161

Radix Representation

Decimal	1007145
Binary	11110101111000101001 (20 bits)
Octal	0o3657051
Hexadecimal	0xF5E29

Divisor Catalog (12)

1 3 5 9 15 45 22,381 67,143 111,905 201,429 335,715 1,007,145

Collatz Trajectory (214 steps to reach 1)

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

1,007,145 3,021,436 1,510,718 755,359 2,266,078 1,133,039 3,399,118 1,699,559 5,098,678 2,549,339 7,648,018 3,824,009 11,472,028 5,736,014 2,868,007 8,604,022 4,302,011 12,906,034 6,453,017 19,359,052 9,679,526 4,839,763 14,519,290 7,259,645 21,778,936 10,889,468 5,444,734 2,722,367 8,167,102 4,083,551 12,250,654 6,125,327 18,375,982 9,187,991 27,563,974 13,781,987 41,345,962 20,672,981 62,018,944 31,009,472 15,504,736 7,752,368 3,876,184 1,938,092 969,046 484,523 1,453,570 726,785 2,180,356 1,090,178 545,089 1,635,268 817,634 408,817 1,226,452 613,226 306,613 919,840 459,920 229,960

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