7,982,742

2 × 3 × 353 × 3769

For 7,982,742, the 16 positive divisors have a total of 16,014,960. Removing 7,982,742 leaves 8,032,218, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 353 × 3769

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,014,960

Proper Divisor Sum 8,032,218

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7982729 ← → #7982749

Radix Representation

Decimal	7982742
Binary	11110011100111010010110 (23 bits)
Octal	0o36347226
Hexadecimal	0x79CE96

Divisor Catalog (16)

1 2 3 6 353 706 1,059 2,118 3,769 7,538 11,307 22,614 1,330,457 2,660,914 3,991,371 7,982,742

Collatz Trajectory (124 steps to reach 1)

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

7,982,742 3,991,371 11,974,114 5,987,057 17,961,172 8,980,586 4,490,293 13,470,880 6,735,440 3,367,720 1,683,860 841,930 420,965 1,262,896 631,448 315,724 157,862 78,931 236,794 118,397 355,192 177,596 88,798 44,399 133,198 66,599 199,798 99,899 299,698 149,849 449,548 224,774 112,387 337,162 168,581 505,744 252,872 126,436 63,218 31,609 94,828 47,414 23,707 71,122 35,561 106,684 53,342 26,671 80,014 40,007 120,022 60,011 180,034 90,017 270,052 135,026 67,513 202,540 101,270 50,635

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