575,442

2 × 3² × 7 × 4567

Starting at 575,442, the Collatz iteration reaches 1 after 97 steps. The first transition is 287721; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 4567

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,425,216

Proper Divisor Sum 849,774

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #575441 ← → #575473

Radix Representation

Decimal	575442
Binary	10001100011111010010 (20 bits)
Octal	0o2143722
Hexadecimal	0x8C7D2

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 4,567 9,134 13,701 27,402 31,969 41,103 63,938 82,206 95,907 191,814 287,721 575,442

Collatz Trajectory (97 steps to reach 1)

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

575,442 287,721 863,164 431,582 215,791 647,374 323,687 971,062 485,531 1,456,594 728,297 2,184,892 1,092,446 546,223 1,638,670 819,335 2,458,006 1,229,003 3,687,010 1,843,505 5,530,516 2,765,258 1,382,629 4,147,888 2,073,944 1,036,972 518,486 259,243 777,730 388,865 1,166,596 583,298 291,649 874,948 437,474 218,737 656,212 328,106 164,053 492,160 246,080 123,040 61,520 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610

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