7,329,940

2² × 5 × 366497

7,329,940 factors as 2^2 × 5 × 366497. Its 12 positive divisors give a proper-divisor sum of 8,062,976, so this integer is abundant. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 366497

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,392,916

Proper Divisor Sum 8,062,976

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7329937 ← → #7329961

Radix Representation

Decimal	7329940
Binary	11011111101100010010100 (23 bits)
Octal	0o33754224
Hexadecimal	0x6FD894

Divisor Catalog (12)

1 2 4 5 10 20 366,497 732,994 1,465,988 1,832,485 3,664,970 7,329,940

Collatz Trajectory (85 steps to reach 1)

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

7,329,940 3,664,970 1,832,485 5,497,456 2,748,728 1,374,364 687,182 343,591 1,030,774 515,387 1,546,162 773,081 2,319,244 1,159,622 579,811 1,739,434 869,717 2,609,152 1,304,576 652,288 326,144 163,072 81,536 40,768 20,384 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300

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