6,593,576

2³ × 11 × 31 × 2417

Starting at 6,593,576, the Collatz iteration reaches 1 after 121 steps. The first transition is 3296788; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 31 × 2417

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 13,927,680

Proper Divisor Sum 7,334,104

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #6593563 ← → #6593591

Radix Representation

Decimal	6593576
Binary	11001001001110000101000 (23 bits)
Octal	0o31116050
Hexadecimal	0x649C28

Divisor Catalog (32)

1 2 4 8 11 22 31 44 62 88 124 248 341 682 1,364 2,417 2,728 4,834 9,668 19,336 26,587 53,174 74,927 106,348 149,854 212,696 299,708 599,416 824,197 1,648,394 3,296,788 6,593,576

Collatz Trajectory (121 steps to reach 1)

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

6,593,576 3,296,788 1,648,394 824,197 2,472,592 1,236,296 618,148 309,074 154,537 463,612 231,806 115,903 347,710 173,855 521,566 260,783 782,350 391,175 1,173,526 586,763 1,760,290 880,145 2,640,436 1,320,218 660,109 1,980,328 990,164 495,082 247,541 742,624 371,312 185,656 92,828 46,414 23,207 69,622 34,811 104,434 52,217 156,652 78,326 39,163 117,490 58,745 176,236 88,118 44,059 132,178 66,089 198,268 99,134 49,567 148,702 74,351 223,054 111,527 334,582 167,291 501,874 250,937

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