1,536,626

2 × 7 × 13 × 8443

Starting at 1,536,626, the Collatz iteration reaches 1 after 194 steps. The first transition is 768313; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 13 × 8443

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,837,184

Proper Divisor Sum 1,300,558

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1536617 ← → #1536631

Radix Representation

Decimal	1536626
Binary	101110111001001110010 (21 bits)
Octal	0o5671162
Hexadecimal	0x177272

Divisor Catalog (16)

1 2 7 13 14 26 91 182 8,443 16,886 59,101 109,759 118,202 219,518 768,313 1,536,626

Collatz Trajectory (194 steps to reach 1)

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

1,536,626 768,313 2,304,940 1,152,470 576,235 1,728,706 864,353 2,593,060 1,296,530 648,265 1,944,796 972,398 486,199 1,458,598 729,299 2,187,898 1,093,949 3,281,848 1,640,924 820,462 410,231 1,230,694 615,347 1,846,042 923,021 2,769,064 1,384,532 692,266 346,133 1,038,400 519,200 259,600 129,800 64,900 32,450 16,225 48,676 24,338 12,169 36,508 18,254 9,127 27,382 13,691 41,074 20,537 61,612 30,806 15,403 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748

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