509,645

5 × 101929

Starting at 509,645, the Collatz iteration reaches 1 after 151 steps. The first transition is 1528936; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 101929

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 611,580

Proper Divisor Sum 101,935

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #509633 ← → #509647

Radix Representation

Decimal	509645
Binary	1111100011011001101 (19 bits)
Octal	0o1743315
Hexadecimal	0x7C6CD

Divisor Catalog (4)

1 5 101,929 509,645

Collatz Trajectory (151 steps to reach 1)

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

509,645 1,528,936 764,468 382,234 191,117 573,352 286,676 143,338 71,669 215,008 107,504 53,752 26,876 13,438 6,719 20,158 10,079 30,238 15,119 45,358 22,679 68,038 34,019 102,058 51,029 153,088 76,544 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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