1,007,595

3² × 5 × 22391

1,007,595 factors as 3^2 × 5 × 22391. Its 12 positive divisors give a proper-divisor sum of 738,981, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 22391

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,746,576

Proper Divisor Sum 738,981

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1007557 ← → #1007597

Radix Representation

Decimal	1007595
Binary	11110101111111101011 (20 bits)
Octal	0o3657753
Hexadecimal	0xF5FEB

Divisor Catalog (12)

1 3 5 9 15 45 22,391 67,173 111,955 201,519 335,865 1,007,595

Collatz Trajectory (214 steps to reach 1)

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

1,007,595 3,022,786 1,511,393 4,534,180 2,267,090 1,133,545 3,400,636 1,700,318 850,159 2,550,478 1,275,239 3,825,718 1,912,859 5,738,578 2,869,289 8,607,868 4,303,934 2,151,967 6,455,902 3,227,951 9,683,854 4,841,927 14,525,782 7,262,891 21,788,674 10,894,337 32,683,012 16,341,506 8,170,753 24,512,260 12,256,130 6,128,065 18,384,196 9,192,098 4,596,049 13,788,148 6,894,074 3,447,037 10,341,112 5,170,556 2,585,278 1,292,639 3,877,918 1,938,959 5,816,878 2,908,439 8,725,318 4,362,659 13,087,978 6,543,989 19,631,968 9,815,984 4,907,992 2,453,996 1,226,998 613,499 1,840,498 920,249 2,760,748 1,380,374

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