572,260

2² × 5 × 13 × 31 × 71

Starting at 572,260, the Collatz iteration reaches 1 after 146 steps. The first transition is 286130; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 31 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,354,752

Proper Divisor Sum 782,492

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #572251 ← → #572269

Radix Representation

Decimal	572260
Binary	10001011101101100100 (20 bits)
Octal	0o2135544
Hexadecimal	0x8BB64

Divisor Catalog (48)

1 2 4 5 10 13 20 26 31 52 62 65 71 124 130 142 155 260 284 310 355 403 620 710 806 923 1,420 1,612 1,846 2,015 2,201 3,692 4,030 4,402 4,615 8,060 8,804 9,230 11,005 18,460 22,010 28,613 44,020 57,226 114,452 143,065 286,130 572,260

Collatz Trajectory (146 steps to reach 1)

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

572,260 286,130 143,065 429,196 214,598 107,299 321,898 160,949 482,848 241,424 120,712 60,356 30,178 15,089 45,268 22,634 11,317 33,952 16,976 8,488 4,244 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 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 91 274 137 412 206 103

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