742,898

2 × 13 × 28573

Starting at 742,898, the Collatz iteration reaches 1 after 180 steps. The first transition is 371449; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 13 × 28573

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,200,108

Proper Divisor Sum 457,210

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #742897 ← → #742909

Radix Representation

Decimal	742898
Binary	10110101010111110010 (20 bits)
Octal	0o2652762
Hexadecimal	0xB55F2

Divisor Catalog (8)

1 2 13 26 28,573 57,146 371,449 742,898

Collatz Trajectory (180 steps to reach 1)

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

742,898 371,449 1,114,348 557,174 278,587 835,762 417,881 1,253,644 626,822 313,411 940,234 470,117 1,410,352 705,176 352,588 176,294 88,147 264,442 132,221 396,664 198,332 99,166 49,583 148,750 74,375 223,126 111,563 334,690 167,345 502,036 251,018 125,509 376,528 188,264 94,132 47,066 23,533 70,600 35,300 17,650 8,825 26,476 13,238 6,619 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714

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