1,596,582

2 × 3² × 13 × 6823

Starting at 1,596,582, the Collatz iteration reaches 1 after 145 steps. The first transition is 798291; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 6823

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,725,904

Proper Divisor Sum 2,129,322

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1596563 ← → #1596629

Radix Representation

Decimal	1596582
Binary	110000101110010100110 (21 bits)
Octal	0o6056246
Hexadecimal	0x185CA6

Divisor Catalog (24)

1 2 3 6 9 13 18 26 39 78 117 234 6,823 13,646 20,469 40,938 61,407 88,699 122,814 177,398 266,097 532,194 798,291 1,596,582

Collatz Trajectory (145 steps to reach 1)

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

1,596,582 798,291 2,394,874 1,197,437 3,592,312 1,796,156 898,078 449,039 1,347,118 673,559 2,020,678 1,010,339 3,031,018 1,515,509 4,546,528 2,273,264 1,136,632 568,316 284,158 142,079 426,238 213,119 639,358 319,679 959,038 479,519 1,438,558 719,279 2,157,838 1,078,919 3,236,758 1,618,379 4,855,138 2,427,569 7,282,708 3,641,354 1,820,677 5,462,032 2,731,016 1,365,508 682,754 341,377 1,024,132 512,066 256,033 768,100 384,050 192,025 576,076 288,038 144,019 432,058 216,029 648,088 324,044 162,022 81,011 243,034 121,517 364,552

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