9,501,572

2² × 17 × 139729

Starting at 9,501,572, the Collatz iteration reaches 1 after 101 steps. The first transition is 4750786; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 17 × 139729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,605,980

Proper Divisor Sum 8,104,408

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9501571 ← → #9501587

Radix Representation

Decimal	9501572
Binary	100100001111101110000100 (24 bits)
Octal	0o44175604
Hexadecimal	0x90FB84

Divisor Catalog (12)

1 2 4 17 34 68 139,729 279,458 558,916 2,375,393 4,750,786 9,501,572

Collatz Trajectory (101 steps to reach 1)

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

9,501,572 4,750,786 2,375,393 7,126,180 3,563,090 1,781,545 5,344,636 2,672,318 1,336,159 4,008,478 2,004,239 6,012,718 3,006,359 9,019,078 4,509,539 13,528,618 6,764,309 20,292,928 10,146,464 5,073,232 2,536,616 1,268,308 634,154 317,077 951,232 475,616 237,808 118,904 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110 7,055 21,166 10,583 31,750 15,875 47,626 23,813 71,440 35,720 17,860 8,930 4,465 13,396 6,698 3,349 10,048

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