4,600,521

3² × 511169

Starting at 4,600,521, the Collatz iteration reaches 1 after 162 steps. The first transition is 13801564; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 511169

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 6,645,210

Proper Divisor Sum 2,044,689

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #4600513 ← → #4600537

Radix Representation

Decimal	4600521
Binary	10001100011001011001001 (23 bits)
Octal	0o21431311
Hexadecimal	0x4632C9

Divisor Catalog (6)

1 3 9 511,169 1,533,507 4,600,521

Collatz Trajectory (162 steps to reach 1)

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

4,600,521 13,801,564 6,900,782 3,450,391 10,351,174 5,175,587 15,526,762 7,763,381 23,290,144 11,645,072 5,822,536 2,911,268 1,455,634 727,817 2,183,452 1,091,726 545,863 1,637,590 818,795 2,456,386 1,228,193 3,684,580 1,842,290 921,145 2,763,436 1,381,718 690,859 2,072,578 1,036,289 3,108,868 1,554,434 777,217 2,331,652 1,165,826 582,913 1,748,740 874,370 437,185 1,311,556 655,778 327,889 983,668 491,834 245,917 737,752 368,876 184,438 92,219 276,658 138,329 414,988 207,494 103,747 311,242 155,621 466,864 233,432 116,716 58,358 29,179

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