7,642,011

3 × 13² × 15073

7,642,011 factors as 3 × 13^2 × 15073. Its 12 positive divisors give a proper-divisor sum of 3,392,157, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3 × 13^2 × 15073

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,034,168

Proper Divisor Sum 3,392,157

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7642007 ← → #7642013

Radix Representation

Decimal	7642011
Binary	11101001001101110011011 (23 bits)
Octal	0o35115633
Hexadecimal	0x749B9B

Divisor Catalog (12)

1 3 13 39 169 507 15,073 45,219 195,949 587,847 2,547,337 7,642,011

Collatz Trajectory (173 steps to reach 1)

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

7,642,011 22,926,034 11,463,017 34,389,052 17,194,526 8,597,263 25,791,790 12,895,895 38,687,686 19,343,843 58,031,530 29,015,765 87,047,296 43,523,648 21,761,824 10,880,912 5,440,456 2,720,228 1,360,114 680,057 2,040,172 1,020,086 510,043 1,530,130 765,065 2,295,196 1,147,598 573,799 1,721,398 860,699 2,582,098 1,291,049 3,873,148 1,936,574 968,287 2,904,862 1,452,431 4,357,294 2,178,647 6,535,942 3,267,971 9,803,914 4,901,957 14,705,872 7,352,936 3,676,468 1,838,234 919,117 2,757,352 1,378,676 689,338 344,669 1,034,008 517,004 258,502 129,251 387,754 193,877 581,632 290,816

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