7,205,744

2⁴ × 7³ × 13 × 101

7,205,744 factors as 2^4 × 7^3 × 13 × 101. Its 80 positive divisors give a proper-divisor sum of 10,501,456, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^4 × 7^3 × 13 × 101

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 17,707,200

Proper Divisor Sum 10,501,456

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7205743 ← → #7205753

Radix Representation

Decimal	7205744
Binary	11011011111001101110000 (23 bits)
Octal	0o33371560
Hexadecimal	0x6DF370

Divisor Catalog (60 of 80)

1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 101 104 112 182 196 202 208 343 364 392 404 637 686 707 728 784 808 1,274 1,313 1,372 1,414 1,456 1,616 2,548 2,626 2,744 2,828 4,459 4,949 5,096 5,252 5,488 5,656 8,918 9,191 9,898 10,192 10,504 11,312 17,836 18,382 19,796 21,008 34,643 35,672

Collatz Trajectory (116 steps to reach 1)

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

7,205,744 3,602,872 1,801,436 900,718 450,359 1,351,078 675,539 2,026,618 1,013,309 3,039,928 1,519,964 759,982 379,991 1,139,974 569,987 1,709,962 854,981 2,564,944 1,282,472 641,236 320,618 160,309 480,928 240,464 120,232 60,116 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276

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