7,414,380

2² × 3² × 5 × 17 × 2423

Starting at 7,414,380, the Collatz iteration reaches 1 after 160 steps. The first transition is 3707190; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 17 × 2423

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 23,823,072

Proper Divisor Sum 16,408,692

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7414373 ← → #7414403

Radix Representation

Decimal	7414380
Binary	11100010010001001101100 (23 bits)
Octal	0o34221154
Hexadecimal	0x71226C

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1,020 1,530 2,423 3,060 4,846 7,269 9,692 12,115 14,538 21,807 24,230 29,076 36,345 41,191 43,614 48,460 72,690 82,382 87,228 109,035 123,573 145,380 164,764 205,955 218,070 247,146 370,719

Collatz Trajectory (160 steps to reach 1)

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

7,414,380 3,707,190 1,853,595 5,560,786 2,780,393 8,341,180 4,170,590 2,085,295 6,255,886 3,127,943 9,383,830 4,691,915 14,075,746 7,037,873 21,113,620 10,556,810 5,278,405 15,835,216 7,917,608 3,958,804 1,979,402 989,701 2,969,104 1,484,552 742,276 371,138 185,569 556,708 278,354 139,177 417,532 208,766 104,383 313,150 156,575 469,726 234,863 704,590 352,295 1,056,886 528,443 1,585,330 792,665 2,377,996 1,188,998 594,499 1,783,498 891,749 2,675,248 1,337,624 668,812 334,406 167,203 501,610 250,805 752,416 376,208 188,104 94,052 47,026

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