3,982,128

2⁴ × 3 × 23 × 3607

Starting at 3,982,128, the Collatz iteration reaches 1 after 123 steps. The first transition is 1991064; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 23 × 3607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 10,737,408

Proper Divisor Sum 6,755,280

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3982123 ← → #3982129

Radix Representation

Decimal	3982128
Binary	1111001100001100110000 (22 bits)
Octal	0o17141460
Hexadecimal	0x3CC330

Divisor Catalog (40)

1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1,104 3,607 7,214 10,821 14,428 21,642 28,856 43,284 57,712 82,961 86,568 165,922 173,136 248,883 331,844 497,766 663,688 995,532 1,327,376 1,991,064 3,982,128

Collatz Trajectory (123 steps to reach 1)

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

3,982,128 1,991,064 995,532 497,766 248,883 746,650 373,325 1,119,976 559,988 279,994 139,997 419,992 209,996 104,998 52,499 157,498 78,749 236,248 118,124 59,062 29,531 88,594 44,297 132,892 66,446 33,223 99,670 49,835 149,506 74,753 224,260 112,130 56,065 168,196 84,098 42,049 126,148 63,074 31,537 94,612 47,306 23,653 70,960 35,480 17,740 8,870 4,435 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270

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