3,977,934

2 × 3 × 409 × 1621

3,977,934 factors as 2 × 3 × 409 × 1621. Its 16 positive divisors give a proper-divisor sum of 4,002,306, so this integer is abundant. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 2 × 3 × 409 × 1621

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,980,240

Proper Divisor Sum 4,002,306

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3977933 ← → #3977947

Radix Representation

Decimal	3977934
Binary	1111001011001011001110 (22 bits)
Octal	0o17131316
Hexadecimal	0x3CB2CE

Divisor Catalog (16)

1 2 3 6 409 818 1,227 1,621 2,454 3,242 4,863 9,726 662,989 1,325,978 1,988,967 3,977,934

Collatz Trajectory (167 steps to reach 1)

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

3,977,934 1,988,967 5,966,902 2,983,451 8,950,354 4,475,177 13,425,532 6,712,766 3,356,383 10,069,150 5,034,575 15,103,726 7,551,863 22,655,590 11,327,795 33,983,386 16,991,693 50,975,080 25,487,540 12,743,770 6,371,885 19,115,656 9,557,828 4,778,914 2,389,457 7,168,372 3,584,186 1,792,093 5,376,280 2,688,140 1,344,070 672,035 2,016,106 1,008,053 3,024,160 1,512,080 756,040 378,020 189,010 94,505 283,516 141,758 70,879 212,638 106,319 318,958 159,479 478,438 239,219 717,658 358,829 1,076,488 538,244 269,122 134,561 403,684 201,842 100,921 302,764 151,382

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