521,970

2 × 3 × 5 × 127 × 137

Starting at 521,970, the Collatz iteration reaches 1 after 133 steps. The first transition is 260985; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 127 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,271,808

Proper Divisor Sum 749,838

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #521929 ← → #521981

Radix Representation

Decimal	521970
Binary	1111111011011110010 (19 bits)
Octal	0o1773362
Hexadecimal	0x7F6F2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 127 137 254 274 381 411 635 685 762 822 1,270 1,370 1,905 2,055 3,810 4,110 17,399 34,798 52,197 86,995 104,394 173,990 260,985 521,970

Collatz Trajectory (133 steps to reach 1)

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

521,970 260,985 782,956 391,478 195,739 587,218 293,609 880,828 440,414 220,207 660,622 330,311 990,934 495,467 1,486,402 743,201 2,229,604 1,114,802 557,401 1,672,204 836,102 418,051 1,254,154 627,077 1,881,232 940,616 470,308 235,154 117,577 352,732 176,366 88,183 264,550 132,275 396,826 198,413 595,240 297,620 148,810 74,405 223,216 111,608 55,804 27,902 13,951 41,854 20,927 62,782 31,391 94,174 47,087 141,262 70,631 211,894 105,947 317,842 158,921 476,764 238,382 119,191

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