4,564,025

5² × 182561

Starting at 4,564,025, the Collatz iteration reaches 1 after 162 steps. The first transition is 13692076; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 182561

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,659,422

Proper Divisor Sum 1,095,397

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4564013 ← → #4564039

Radix Representation

Decimal	4564025
Binary	10001011010010000111001 (23 bits)
Octal	0o21322071
Hexadecimal	0x45A439

Divisor Catalog (6)

1 5 25 182,561 912,805 4,564,025

Collatz Trajectory (162 steps to reach 1)

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

4,564,025 13,692,076 6,846,038 3,423,019 10,269,058 5,134,529 15,403,588 7,701,794 3,850,897 11,552,692 5,776,346 2,888,173 8,664,520 4,332,260 2,166,130 1,083,065 3,249,196 1,624,598 812,299 2,436,898 1,218,449 3,655,348 1,827,674 913,837 2,741,512 1,370,756 685,378 342,689 1,028,068 514,034 257,017 771,052 385,526 192,763 578,290 289,145 867,436 433,718 216,859 650,578 325,289 975,868 487,934 243,967 731,902 365,951 1,097,854 548,927 1,646,782 823,391 2,470,174 1,235,087 3,705,262 1,852,631 5,557,894 2,778,947 8,336,842 4,168,421 12,505,264 6,252,632

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