514,626

2 × 3 × 7 × 12253

Starting at 514,626, the Collatz iteration reaches 1 after 50 steps. The first transition is 257313; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 12253

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,176,384

Proper Divisor Sum 661,758

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #514621 ← → #514637

Radix Representation

Decimal	514626
Binary	1111101101001000010 (19 bits)
Octal	0o1755102
Hexadecimal	0x7DA42

Divisor Catalog (16)

1 2 3 6 7 14 21 42 12,253 24,506 36,759 73,518 85,771 171,542 257,313 514,626

Collatz Trajectory (50 steps to reach 1)

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

514,626 257,313 771,940 385,970 192,985 578,956 289,478 144,739 434,218 217,109 651,328 325,664 162,832 81,416 40,708 20,354 10,177 30,532 15,266 7,633 22,900 11,450 5,725 17,176 8,588 4,294 2,147 6,442 3,221 9,664 4,832 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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