5,328,387

3² × 23 × 25741

Starting at 5,328,387, the Collatz iteration reaches 1 after 144 steps. The first transition is 15985162; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 25741

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,031,504

Proper Divisor Sum 2,703,117

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #5328359 ← → #5328391

Radix Representation

Decimal	5328387
Binary	10100010100111000000011 (23 bits)
Octal	0o24247003
Hexadecimal	0x514E03

Divisor Catalog (12)

1 3 9 23 69 207 25,741 77,223 231,669 592,043 1,776,129 5,328,387

Collatz Trajectory (144 steps to reach 1)

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

5,328,387 15,985,162 7,992,581 23,977,744 11,988,872 5,994,436 2,997,218 1,498,609 4,495,828 2,247,914 1,123,957 3,371,872 1,685,936 842,968 421,484 210,742 105,371 316,114 158,057 474,172 237,086 118,543 355,630 177,815 533,446 266,723 800,170 400,085 1,200,256 600,128 300,064 150,032 75,016 37,508 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808

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