632,554

2 × 13 × 24329

Starting at 632,554, the Collatz iteration reaches 1 after 172 steps. The first transition is 316277; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 24329

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,021,860

Proper Divisor Sum 389,306

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #632521 ← → #632557

Radix Representation

Decimal	632554
Binary	10011010011011101010 (20 bits)
Octal	0o2323352
Hexadecimal	0x9A6EA

Divisor Catalog (8)

1 2 13 26 24,329 48,658 316,277 632,554

Collatz Trajectory (172 steps to reach 1)

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

632,554 316,277 948,832 474,416 237,208 118,604 59,302 29,651 88,954 44,477 133,432 66,716 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674

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