743,916

2² × 3 × 47 × 1319

Starting at 743,916, the Collatz iteration reaches 1 after 118 steps. The first transition is 371958; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 47 × 1319

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,774,080

Proper Divisor Sum 1,030,164

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #743891 ← → #743917

Radix Representation

Decimal	743916
Binary	10110101100111101100 (20 bits)
Octal	0o2654754
Hexadecimal	0xB59EC

Divisor Catalog (24)

1 2 3 4 6 12 47 94 141 188 282 564 1,319 2,638 3,957 5,276 7,914 15,828 61,993 123,986 185,979 247,972 371,958 743,916

Collatz Trajectory (118 steps to reach 1)

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

743,916 371,958 185,979 557,938 278,969 836,908 418,454 209,227 627,682 313,841 941,524 470,762 235,381 706,144 353,072 176,536 88,268 44,134 22,067 66,202 33,101 99,304 49,652 24,826 12,413 37,240 18,620 9,310 4,655 13,966 6,983 20,950 10,475 31,426 15,713 47,140 23,570 11,785 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787

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