4,827,789

3³ × 178807

Starting at 4,827,789, the Collatz iteration reaches 1 after 237 steps. The first transition is 14483368; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 178807

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,152,320

Proper Divisor Sum 2,324,531

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #4827773 ← → #4827799

Radix Representation

Decimal	4827789
Binary	10010011010101010001101 (23 bits)
Octal	0o22325215
Hexadecimal	0x49AA8D

Divisor Catalog (8)

1 3 9 27 178,807 536,421 1,609,263 4,827,789

Collatz Trajectory (237 steps to reach 1)

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

4,827,789 14,483,368 7,241,684 3,620,842 1,810,421 5,431,264 2,715,632 1,357,816 678,908 339,454 169,727 509,182 254,591 763,774 381,887 1,145,662 572,831 1,718,494 859,247 2,577,742 1,288,871 3,866,614 1,933,307 5,799,922 2,899,961 8,699,884 4,349,942 2,174,971 6,524,914 3,262,457 9,787,372 4,893,686 2,446,843 7,340,530 3,670,265 11,010,796 5,505,398 2,752,699 8,258,098 4,129,049 12,387,148 6,193,574 3,096,787 9,290,362 4,645,181 13,935,544 6,967,772 3,483,886 1,741,943 5,225,830 2,612,915 7,838,746 3,919,373 11,758,120 5,879,060 2,939,530 1,469,765 4,409,296 2,204,648 1,102,324

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