2,396,565

3² × 5 × 19 × 2803

Starting at 2,396,565, the Collatz iteration reaches 1 after 205 steps. The first transition is 7189696; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 19 × 2803

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,374,240

Proper Divisor Sum 1,977,675

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2396561 ← → #2396567

Radix Representation

Decimal	2396565
Binary	1001001001000110010101 (22 bits)
Octal	0o11110625
Hexadecimal	0x249195

Divisor Catalog (24)

1 3 5 9 15 19 45 57 95 171 285 855 2,803 8,409 14,015 25,227 42,045 53,257 126,135 159,771 266,285 479,313 798,855 2,396,565

Collatz Trajectory (205 steps to reach 1)

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

2,396,565 7,189,696 3,594,848 1,797,424 898,712 449,356 224,678 112,339 337,018 168,509 505,528 252,764 126,382 63,191 189,574 94,787 284,362 142,181 426,544 213,272 106,636 53,318 26,659 79,978 39,989 119,968 59,984 29,992 14,996 7,498 3,749 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227

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