4,823,645

5 × 727 × 1327

Starting at 4,823,645, the Collatz iteration reaches 1 after 100 steps. The first transition is 14470936; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 727 × 1327

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,800,704

Proper Divisor Sum 977,059

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #4823641 ← → #4823677

Radix Representation

Decimal	4823645
Binary	10010011001101001011101 (23 bits)
Octal	0o22315135
Hexadecimal	0x499A5D

Divisor Catalog (8)

1 5 727 1,327 3,635 6,635 964,729 4,823,645

Collatz Trajectory (100 steps to reach 1)

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

4,823,645 14,470,936 7,235,468 3,617,734 1,808,867 5,426,602 2,713,301 8,139,904 4,069,952 2,034,976 1,017,488 508,744 254,372 127,186 63,593 190,780 95,390 47,695 143,086 71,543 214,630 107,315 321,946 160,973 482,920 241,460 120,730 60,365 181,096 90,548 45,274 22,637 67,912 33,956 16,978 8,489 25,468 12,734 6,367 19,102 9,551 28,654 14,327 42,982 21,491 64,474 32,237 96,712 48,356 24,178 12,089 36,268 18,134 9,067 27,202 13,601 40,804 20,402 10,201 30,604

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