1,335,672

2³ × 3² × 13 × 1427

Starting at 1,335,672, the Collatz iteration reaches 1 after 155 steps. The first transition is 667836; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13 × 1427

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 3,898,440

Proper Divisor Sum 2,562,768

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1335667 ← → #1335683

Radix Representation

Decimal	1335672
Binary	101000110000101111000 (21 bits)
Octal	0o5060570
Hexadecimal	0x146178

Divisor Catalog (48)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1,427 2,854 4,281 5,708 8,562 11,416 12,843 17,124 18,551 25,686 34,248 37,102 51,372 55,653 74,204 102,744 111,306 148,408 166,959 222,612 333,918 445,224 667,836 1,335,672

Collatz Trajectory (155 steps to reach 1)

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

1,335,672 667,836 333,918 166,959 500,878 250,439 751,318 375,659 1,126,978 563,489 1,690,468 845,234 422,617 1,267,852 633,926 316,963 950,890 475,445 1,426,336 713,168 356,584 178,292 89,146 44,573 133,720 66,860 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242

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