9,731,571

3 × 509 × 6373

Starting at 9,731,571, the Collatz iteration reaches 1 after 88 steps. The first transition is 29194714; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 509 × 6373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 13,002,960

Proper Divisor Sum 3,271,389

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #9731569 ← → #9731581

Radix Representation

Decimal	9731571
Binary	100101000111110111110011 (24 bits)
Octal	0o45076763
Hexadecimal	0x947DF3

Divisor Catalog (8)

1 3 509 1,527 6,373 19,119 3,243,857 9,731,571

Collatz Trajectory (88 steps to reach 1)

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

9,731,571 29,194,714 14,597,357 43,792,072 21,896,036 10,948,018 5,474,009 16,422,028 8,211,014 4,105,507 12,316,522 6,158,261 18,474,784 9,237,392 4,618,696 2,309,348 1,154,674 577,337 1,732,012 866,006 433,003 1,299,010 649,505 1,948,516 974,258 487,129 1,461,388 730,694 365,347 1,096,042 548,021 1,644,064 822,032 411,016 205,508 102,754 51,377 154,132 77,066 38,533 115,600 57,800 28,900 14,450 7,225 21,676 10,838 5,419 16,258 8,129 24,388 12,194 6,097 18,292 9,146 4,573 13,720 6,860 3,430 1,715

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