915,675

3 × 5² × 29 × 421

Starting at 915,675, the Collatz iteration reaches 1 after 113 steps. The first transition is 2747026; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 29 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,569,840

Proper Divisor Sum 654,165

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #915659 ← → #915683

Radix Representation

Decimal	915675
Binary	11011111100011011011 (20 bits)
Octal	0o3374333
Hexadecimal	0xDF8DB

Divisor Catalog (24)

1 3 5 15 25 29 75 87 145 421 435 725 1,263 2,105 2,175 6,315 10,525 12,209 31,575 36,627 61,045 183,135 305,225 915,675

Collatz Trajectory (113 steps to reach 1)

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

915,675 2,747,026 1,373,513 4,120,540 2,060,270 1,030,135 3,090,406 1,545,203 4,635,610 2,317,805 6,953,416 3,476,708 1,738,354 869,177 2,607,532 1,303,766 651,883 1,955,650 977,825 2,933,476 1,466,738 733,369 2,200,108 1,100,054 550,027 1,650,082 825,041 2,475,124 1,237,562 618,781 1,856,344 928,172 464,086 232,043 696,130 348,065 1,044,196 522,098 261,049 783,148 391,574 195,787 587,362 293,681 881,044 440,522 220,261 660,784 330,392 165,196 82,598 41,299 123,898 61,949 185,848 92,924 46,462 23,231 69,694 34,847

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