1,575,810

2 × 3² × 5 × 17509

Starting at 1,575,810, the Collatz iteration reaches 1 after 124 steps. The first transition is 787905; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 17509

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 4,097,340

Proper Divisor Sum 2,521,530

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1575767 ← → #1575811

Radix Representation

Decimal	1575810
Binary	110000000101110000010 (21 bits)
Octal	0o6005602
Hexadecimal	0x180B82

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 17,509 35,018 52,527 87,545 105,054 157,581 175,090 262,635 315,162 525,270 787,905 1,575,810

Collatz Trajectory (124 steps to reach 1)

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

1,575,810 787,905 2,363,716 1,181,858 590,929 1,772,788 886,394 443,197 1,329,592 664,796 332,398 166,199 498,598 249,299 747,898 373,949 1,121,848 560,924 280,462 140,231 420,694 210,347 631,042 315,521 946,564 473,282 236,641 709,924 354,962 177,481 532,444 266,222 133,111 399,334 199,667 599,002 299,501 898,504 449,252 224,626 112,313 336,940 168,470 84,235 252,706 126,353 379,060 189,530 94,765 284,296 142,148 71,074 35,537 106,612 53,306 26,653 79,960 39,980 19,990 9,995

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