742,739

23 × 43 × 751

Starting at 742,739, the Collatz iteration reaches 1 after 224 steps. The first transition is 2228218; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 23 × 43 × 751

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 794,112

Proper Divisor Sum 51,373

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #742723 ← → #742757

Radix Representation

Decimal	742739
Binary	10110101010101010011 (20 bits)
Octal	0o2652523
Hexadecimal	0xB5553

Divisor Catalog (8)

1 23 43 751 989 17,273 32,293 742,739

Collatz Trajectory (224 steps to reach 1)

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

742,739 2,228,218 1,114,109 3,342,328 1,671,164 835,582 417,791 1,253,374 626,687 1,880,062 940,031 2,820,094 1,410,047 4,230,142 2,115,071 6,345,214 3,172,607 9,517,822 4,758,911 14,276,734 7,138,367 21,415,102 10,707,551 32,122,654 16,061,327 48,183,982 24,091,991 72,275,974 36,137,987 108,413,962 54,206,981 162,620,944 81,310,472 40,655,236 20,327,618 10,163,809 30,491,428 15,245,714 7,622,857 22,868,572 11,434,286 5,717,143 17,151,430 8,575,715 25,727,146 12,863,573 38,590,720 19,295,360 9,647,680 4,823,840 2,411,920 1,205,960 602,980 301,490 150,745 452,236 226,118 113,059 339,178 169,589

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