1,304,376

2³ × 3 × 17 × 23 × 139

Starting at 1,304,376, the Collatz iteration reaches 1 after 204 steps. The first transition is 652188; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 17 × 23 × 139

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 3,628,800

Proper Divisor Sum 2,324,424

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1304371 ← → #1304389

Radix Representation

Decimal	1304376
Binary	100111110011100111000 (21 bits)
Octal	0o4763470
Hexadecimal	0x13E738

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 139 184 204 276 278 391 408 417 552 556 782 834 1,112 1,173 1,564 1,668 2,346 2,363 3,128 3,197 3,336 4,692 4,726 6,394 7,089 9,384 9,452 9,591 12,788 14,178 18,904 19,182 25,576 28,356 38,364 54,349 56,712 76,728 108,698 163,047 217,396

Collatz Trajectory (204 steps to reach 1)

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

1,304,376 652,188 326,094 163,047 489,142 244,571 733,714 366,857 1,100,572 550,286 275,143 825,430 412,715 1,238,146 619,073 1,857,220 928,610 464,305 1,392,916 696,458 348,229 1,044,688 522,344 261,172 130,586 65,293 195,880 97,940 48,970 24,485 73,456 36,728 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916

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