4,624,521

3 × 11 × 43 × 3259

Starting at 4,624,521, the Collatz iteration reaches 1 after 237 steps. The first transition is 13873564; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 43 × 3259

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,885,120

Proper Divisor Sum 2,260,599

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4624517 ← → #4624523

Radix Representation

Decimal	4624521
Binary	10001101001000010001001 (23 bits)
Octal	0o21510211
Hexadecimal	0x469089

Divisor Catalog (16)

1 3 11 33 43 129 473 1,419 3,259 9,777 35,849 107,547 140,137 420,411 1,541,507 4,624,521

Collatz Trajectory (237 steps to reach 1)

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

4,624,521 13,873,564 6,936,782 3,468,391 10,405,174 5,202,587 15,607,762 7,803,881 23,411,644 11,705,822 5,852,911 17,558,734 8,779,367 26,338,102 13,169,051 39,507,154 19,753,577 59,260,732 29,630,366 14,815,183 44,445,550 22,222,775 66,668,326 33,334,163 100,002,490 50,001,245 150,003,736 75,001,868 37,500,934 18,750,467 56,251,402 28,125,701 84,377,104 42,188,552 21,094,276 10,547,138 5,273,569 15,820,708 7,910,354 3,955,177 11,865,532 5,932,766 2,966,383 8,899,150 4,449,575 13,348,726 6,674,363 20,023,090 10,011,545 30,034,636 15,017,318 7,508,659 22,525,978 11,262,989 33,788,968 16,894,484 8,447,242 4,223,621 12,670,864 6,335,432

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