4,422,825

3² × 5² × 11 × 1787

Starting at 4,422,825, the Collatz iteration reaches 1 after 317 steps. The first transition is 13268476; the starting value is odd with 36 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 11 × 1787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 8,646,768

Proper Divisor Sum 4,223,943

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4422823 ← → #4422827

Radix Representation

Decimal	4422825
Binary	10000110111110010101001 (23 bits)
Octal	0o20676251
Hexadecimal	0x437CA9

Divisor Catalog (36)

1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 1,787 2,475 5,361 8,935 16,083 19,657 26,805 44,675 58,971 80,415 98,285 134,025 176,913 294,855 402,075 491,425 884,565 1,474,275 4,422,825

Collatz Trajectory (317 steps to reach 1)

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

4,422,825 13,268,476 6,634,238 3,317,119 9,951,358 4,975,679 14,927,038 7,463,519 22,390,558 11,195,279 33,585,838 16,792,919 50,378,758 25,189,379 75,568,138 37,784,069 113,352,208 56,676,104 28,338,052 14,169,026 7,084,513 21,253,540 10,626,770 5,313,385 15,940,156 7,970,078 3,985,039 11,955,118 5,977,559 17,932,678 8,966,339 26,899,018 13,449,509 40,348,528 20,174,264 10,087,132 5,043,566 2,521,783 7,565,350 3,782,675 11,348,026 5,674,013 17,022,040 8,511,020 4,255,510 2,127,755 6,383,266 3,191,633 9,574,900 4,787,450 2,393,725 7,181,176 3,590,588 1,795,294 897,647 2,692,942 1,346,471 4,039,414 2,019,707 6,059,122

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