573,048

2³ × 3³ × 7 × 379

Starting at 573,048, the Collatz iteration reaches 1 after 146 steps. The first transition is 286524; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^3 × 7 × 379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 1,824,000

Proper Divisor Sum 1,250,952

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #573047 ← → #573101

Radix Representation

Decimal	573048
Binary	10001011111001111000 (20 bits)
Octal	0o2137170
Hexadecimal	0x8BE78

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 379 504 756 758 1,137 1,512 1,516 2,274 2,653 3,032 3,411 4,548 5,306 6,822 7,959 9,096 10,233 10,612 13,644 15,918 20,466 21,224 23,877 27,288 31,836 40,932 47,754 63,672 71,631 81,864 95,508

Collatz Trajectory (146 steps to reach 1)

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

573,048 286,524 143,262 71,631 214,894 107,447 322,342 161,171 483,514 241,757 725,272 362,636 181,318 90,659 271,978 135,989 407,968 203,984 101,992 50,996 25,498 12,749 38,248 19,124 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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