3,977,016

2³ × 3 × 165709

3,977,016 factors as 2^3 × 3 × 165709. Its 16 positive divisors give a proper-divisor sum of 5,965,584, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 165709

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,942,600

Proper Divisor Sum 5,965,584

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3977011 ← → #3977059

Radix Representation

Decimal	3977016
Binary	1111001010111100111000 (22 bits)
Octal	0o17127470
Hexadecimal	0x3CAF38

Divisor Catalog (16)

1 2 3 4 6 8 12 24 165,709 331,418 497,127 662,836 994,254 1,325,672 1,988,508 3,977,016

Collatz Trajectory (123 steps to reach 1)

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

3,977,016 1,988,508 994,254 497,127 1,491,382 745,691 2,237,074 1,118,537 3,355,612 1,677,806 838,903 2,516,710 1,258,355 3,775,066 1,887,533 5,662,600 2,831,300 1,415,650 707,825 2,123,476 1,061,738 530,869 1,592,608 796,304 398,152 199,076 99,538 49,769 149,308 74,654 37,327 111,982 55,991 167,974 83,987 251,962 125,981 377,944 188,972 94,486 47,243 141,730 70,865 212,596 106,298 53,149 159,448 79,724 39,862 19,931 59,794 29,897 89,692 44,846 22,423 67,270 33,635 100,906 50,453 151,360

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