1,456,424

2³ × 17 × 10709

Starting at 1,456,424, the Collatz iteration reaches 1 after 181 steps. The first transition is 728212; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 17 × 10709

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,891,700

Proper Divisor Sum 1,435,276

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1456417 ← → #1456439

Radix Representation

Decimal	1456424
Binary	101100011100100101000 (21 bits)
Octal	0o5434450
Hexadecimal	0x163928

Divisor Catalog (16)

1 2 4 8 17 34 68 136 10,709 21,418 42,836 85,672 182,053 364,106 728,212 1,456,424

Collatz Trajectory (181 steps to reach 1)

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

1,456,424 728,212 364,106 182,053 546,160 273,080 136,540 68,270 34,135 102,406 51,203 153,610 76,805 230,416 115,208 57,604 28,802 14,401 43,204 21,602 10,801 32,404 16,202 8,101 24,304 12,152 6,076 3,038 1,519 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257

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