501,326

2 × 7 × 35809

Starting at 501,326, the Collatz iteration reaches 1 after 182 steps. The first transition is 250663; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 35809

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 859,440

Proper Divisor Sum 358,114

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #501317 ← → #501341

Radix Representation

Decimal	501326
Binary	1111010011001001110 (19 bits)
Octal	0o1723116
Hexadecimal	0x7A64E

Divisor Catalog (8)

1 2 7 14 35,809 71,618 250,663 501,326

Collatz Trajectory (182 steps to reach 1)

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

501,326 250,663 751,990 375,995 1,127,986 563,993 1,691,980 845,990 422,995 1,268,986 634,493 1,903,480 951,740 475,870 237,935 713,806 356,903 1,070,710 535,355 1,606,066 803,033 2,409,100 1,204,550 602,275 1,806,826 903,413 2,710,240 1,355,120 677,560 338,780 169,390 84,695 254,086 127,043 381,130 190,565 571,696 285,848 142,924 71,462 35,731 107,194 53,597 160,792 80,396 40,198 20,099 60,298 30,149 90,448 45,224 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530

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