4,817,727

3² × 535303

Starting at 4,817,727, the Collatz iteration reaches 1 after 92 steps. The first transition is 14453182; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 535303

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 6,958,952

Proper Divisor Sum 2,141,225

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4817717 ← → #4817731

Radix Representation

Decimal	4817727
Binary	10010011000001100111111 (23 bits)
Octal	0o22301477
Hexadecimal	0x49833F

Divisor Catalog (6)

1 3 9 535,303 1,605,909 4,817,727

Collatz Trajectory (92 steps to reach 1)

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

4,817,727 14,453,182 7,226,591 21,679,774 10,839,887 32,519,662 16,259,831 48,779,494 24,389,747 73,169,242 36,584,621 109,753,864 54,876,932 27,438,466 13,719,233 41,157,700 20,578,850 10,289,425 30,868,276 15,434,138 7,717,069 23,151,208 11,575,604 5,787,802 2,893,901 8,681,704 4,340,852 2,170,426 1,085,213 3,255,640 1,627,820 813,910 406,955 1,220,866 610,433 1,831,300 915,650 457,825 1,373,476 686,738 343,369 1,030,108 515,054 257,527 772,582 386,291 1,158,874 579,437 1,738,312 869,156 434,578 217,289 651,868 325,934 162,967 488,902 244,451 733,354 366,677 1,100,032

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