972,574

2 × 43² × 263

Starting at 972,574, the Collatz iteration reaches 1 after 139 steps. The first transition is 486287; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 43^2 × 263

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,499,256

Proper Divisor Sum 526,682

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #972557 ← → #972577

Radix Representation

Decimal	972574
Binary	11101101011100011110 (20 bits)
Octal	0o3553436
Hexadecimal	0xED71E

Divisor Catalog (12)

1 2 43 86 263 526 1,849 3,698 11,309 22,618 486,287 972,574

Collatz Trajectory (139 steps to reach 1)

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

972,574 486,287 1,458,862 729,431 2,188,294 1,094,147 3,282,442 1,641,221 4,923,664 2,461,832 1,230,916 615,458 307,729 923,188 461,594 230,797 692,392 346,196 173,098 86,549 259,648 129,824 64,912 32,456 16,228 8,114 4,057 12,172 6,086 3,043 9,130 4,565 13,696 6,848 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175

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