4,863,825

3² × 5² × 21617

Starting at 4,863,825, the Collatz iteration reaches 1 after 144 steps. The first transition is 14591476; the starting value is odd with 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 21617

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 8,712,054

Proper Divisor Sum 3,848,229

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4863823 ← → #4863827

Radix Representation

Decimal	4863825
Binary	10010100011011101010001 (23 bits)
Octal	0o22433521
Hexadecimal	0x4A3751

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 21,617 64,851 108,085 194,553 324,255 540,425 972,765 1,621,275 4,863,825

Collatz Trajectory (144 steps to reach 1)

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

4,863,825 14,591,476 7,295,738 3,647,869 10,943,608 5,471,804 2,735,902 1,367,951 4,103,854 2,051,927 6,155,782 3,077,891 9,233,674 4,616,837 13,850,512 6,925,256 3,462,628 1,731,314 865,657 2,596,972 1,298,486 649,243 1,947,730 973,865 2,921,596 1,460,798 730,399 2,191,198 1,095,599 3,286,798 1,643,399 4,930,198 2,465,099 7,395,298 3,697,649 11,092,948 5,546,474 2,773,237 8,319,712 4,159,856 2,079,928 1,039,964 519,982 259,991 779,974 389,987 1,169,962 584,981 1,754,944 877,472 438,736 219,368 109,684 54,842 27,421 82,264 41,132 20,566 10,283 30,850

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