739,512

2³ × 3² × 10271

Starting at 739,512, the Collatz iteration reaches 1 after 61 steps. The first transition is 369756; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 10271

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,003,040

Proper Divisor Sum 1,263,528

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #739511 ← → #739513

Radix Representation

Decimal	739512
Binary	10110100100010111000 (20 bits)
Octal	0o2644270
Hexadecimal	0xB48B8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 10,271 20,542 30,813 41,084 61,626 82,168 92,439 123,252 184,878 246,504 369,756 739,512

Collatz Trajectory (61 steps to reach 1)

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

739,512 369,756 184,878 92,439 277,318 138,659 415,978 207,989 623,968 311,984 155,992 77,996 38,998 19,499 58,498 29,249 87,748 43,874 21,937 65,812 32,906 16,453 49,360 24,680 12,340 6,170 3,085 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4

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