4,516,792

2³ × 7 × 80657

4,516,792 factors as 2^3 × 7 × 80657. Its 16 positive divisors give a proper-divisor sum of 5,162,168, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 80657

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,678,960

Proper Divisor Sum 5,162,168

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #4516789 ← → #4516817

Radix Representation

Decimal	4516792
Binary	10001001110101110111000 (23 bits)
Octal	0o21165670
Hexadecimal	0x44EBB8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 80,657 161,314 322,628 564,599 645,256 1,129,198 2,258,396 4,516,792

Collatz Trajectory (87 steps to reach 1)

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

4,516,792 2,258,396 1,129,198 564,599 1,693,798 846,899 2,540,698 1,270,349 3,811,048 1,905,524 952,762 476,381 1,429,144 714,572 357,286 178,643 535,930 267,965 803,896 401,948 200,974 100,487 301,462 150,731 452,194 226,097 678,292 339,146 169,573 508,720 254,360 127,180 63,590 31,795 95,386 47,693 143,080 71,540 35,770 17,885 53,656 26,828 13,414 6,707 20,122 10,061 30,184 15,092 7,546 3,773 11,320 5,660 2,830 1,415 4,246 2,123 6,370 3,185 9,556 4,778

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