7,513,629

3 × 2504543

7,513,629 factors as 3 × 2504543. Its 4 positive divisors give a proper-divisor sum of 2,504,547, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3 × 2504543

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 10,018,176

Proper Divisor Sum 2,504,547

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7513613 ← → #7513633

Radix Representation

Decimal	7513629
Binary	11100101010011000011101 (23 bits)
Octal	0o34523035
Hexadecimal	0x72A61D

Divisor Catalog (4)

1 3 2,504,543 7,513,629

Collatz Trajectory (85 steps to reach 1)

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

7,513,629 22,540,888 11,270,444 5,635,222 2,817,611 8,452,834 4,226,417 12,679,252 6,339,626 3,169,813 9,509,440 4,754,720 2,377,360 1,188,680 594,340 297,170 148,585 445,756 222,878 111,439 334,318 167,159 501,478 250,739 752,218 376,109 1,128,328 564,164 282,082 141,041 423,124 211,562 105,781 317,344 158,672 79,336 39,668 19,834 9,917 29,752 14,876 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325

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