4,500,735

3 × 5 × 31 × 9679

Starting at 4,500,735, the Collatz iteration reaches 1 after 255 steps. The first transition is 13502206; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 31 × 9679

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,434,240

Proper Divisor Sum 2,933,505

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4500731 ← → #4500737

Radix Representation

Decimal	4500735
Binary	10001001010110011111111 (23 bits)
Octal	0o21126377
Hexadecimal	0x44ACFF

Divisor Catalog (16)

1 3 5 15 31 93 155 465 9,679 29,037 48,395 145,185 300,049 900,147 1,500,245 4,500,735

Collatz Trajectory (255 steps to reach 1)

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

4,500,735 13,502,206 6,751,103 20,253,310 10,126,655 30,379,966 15,189,983 45,569,950 22,784,975 68,354,926 34,177,463 102,532,390 51,266,195 153,798,586 76,899,293 230,697,880 115,348,940 57,674,470 28,837,235 86,511,706 43,255,853 129,767,560 64,883,780 32,441,890 16,220,945 48,662,836 24,331,418 12,165,709 36,497,128 18,248,564 9,124,282 4,562,141 13,686,424 6,843,212 3,421,606 1,710,803 5,132,410 2,566,205 7,698,616 3,849,308 1,924,654 962,327 2,886,982 1,443,491 4,330,474 2,165,237 6,495,712 3,247,856 1,623,928 811,964 405,982 202,991 608,974 304,487 913,462 456,731 1,370,194 685,097 2,055,292 1,027,646

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