1,356,822

2 × 3² × 43 × 1753

Starting at 1,356,822, the Collatz iteration reaches 1 after 124 steps. The first transition is 678411; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 43 × 1753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 3,009,864

Proper Divisor Sum 1,653,042

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1356811 ← → #1356829

Radix Representation

Decimal	1356822
Binary	101001011010000010110 (21 bits)
Octal	0o5132026
Hexadecimal	0x14B416

Divisor Catalog (24)

1 2 3 6 9 18 43 86 129 258 387 774 1,753 3,506 5,259 10,518 15,777 31,554 75,379 150,758 226,137 452,274 678,411 1,356,822

Collatz Trajectory (124 steps to reach 1)

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

1,356,822 678,411 2,035,234 1,017,617 3,052,852 1,526,426 763,213 2,289,640 1,144,820 572,410 286,205 858,616 429,308 214,654 107,327 321,982 160,991 482,974 241,487 724,462 362,231 1,086,694 543,347 1,630,042 815,021 2,445,064 1,222,532 611,266 305,633 916,900 458,450 229,225 687,676 343,838 171,919 515,758 257,879 773,638 386,819 1,160,458 580,229 1,740,688 870,344 435,172 217,586 108,793 326,380 163,190 81,595 244,786 122,393 367,180 183,590 91,795 275,386 137,693 413,080 206,540 103,270 51,635

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