1,414,728

2³ × 3² × 7² × 401

Starting at 1,414,728, the Collatz iteration reaches 1 after 106 steps. The first transition is 707364; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7^2 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 4,468,230

Proper Divisor Sum 3,053,502

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1414709 ← → #1414733

Radix Representation

Decimal	1414728
Binary	101011001011001001000 (21 bits)
Octal	0o5313110
Hexadecimal	0x159648

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 401 441 504 588 802 882 1,176 1,203 1,604 1,764 2,406 2,807 3,208 3,528 3,609 4,812 5,614 7,218 8,421 9,624 11,228 14,436 16,842 19,649 22,456 25,263 28,872 33,684 39,298 50,526 58,947

Collatz Trajectory (106 steps to reach 1)

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

1,414,728 707,364 353,682 176,841 530,524 265,262 132,631 397,894 198,947 596,842 298,421 895,264 447,632 223,816 111,908 55,954 27,977 83,932 41,966 20,983 62,950 31,475 94,426 47,213 141,640 70,820 35,410 17,705 53,116 26,558 13,279 39,838 19,919 59,758 29,879 89,638 44,819 134,458 67,229 201,688 100,844 50,422 25,211 75,634 37,817 113,452 56,726 28,363 85,090 42,545 127,636 63,818 31,909 95,728 47,864 23,932 11,966 5,983 17,950 8,975

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