7,308,075

3 × 5² × 97441

7,308,075 factors as 3 × 5^2 × 97441. Its 12 positive divisors give a proper-divisor sum of 4,774,733, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 97441

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,082,808

Proper Divisor Sum 4,774,733

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7308073 ← → #7308121

Radix Representation

Decimal	7308075
Binary	11011111000001100101011 (23 bits)
Octal	0o33701453
Hexadecimal	0x6F832B

Divisor Catalog (12)

1 3 5 15 25 75 97,441 292,323 487,205 1,461,615 2,436,025 7,308,075

Collatz Trajectory (204 steps to reach 1)

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

7,308,075 21,924,226 10,962,113 32,886,340 16,443,170 8,221,585 24,664,756 12,332,378 6,166,189 18,498,568 9,249,284 4,624,642 2,312,321 6,936,964 3,468,482 1,734,241 5,202,724 2,601,362 1,300,681 3,902,044 1,951,022 975,511 2,926,534 1,463,267 4,389,802 2,194,901 6,584,704 3,292,352 1,646,176 823,088 411,544 205,772 102,886 51,443 154,330 77,165 231,496 115,748 57,874 28,937 86,812 43,406 21,703 65,110 32,555 97,666 48,833 146,500 73,250 36,625 109,876 54,938 27,469 82,408 41,204 20,602 10,301 30,904 15,452 7,726

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