7,563,444

2² × 3 × 7² × 19 × 677

Starting at 7,563,444, the Collatz iteration reaches 1 after 111 steps. The first transition is 3781722; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 19 × 677

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 21,641,760

Proper Divisor Sum 14,078,316

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7563443 ← → #7563497

Radix Representation

Decimal	7563444
Binary	11100110110100010110100 (23 bits)
Octal	0o34664264
Hexadecimal	0x7368B4

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 677 798 931 1,354 1,596 1,862 2,031 2,708 2,793 3,724 4,062 4,739 5,586 8,124 9,478 11,172 12,863 14,217 18,956 25,726 28,434 33,173 38,589 51,452 56,868 66,346 77,178 90,041 99,519 132,692 154,356 180,082

Collatz Trajectory (111 steps to reach 1)

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

7,563,444 3,781,722 1,890,861 5,672,584 2,836,292 1,418,146 709,073 2,127,220 1,063,610 531,805 1,595,416 797,708 398,854 199,427 598,282 299,141 897,424 448,712 224,356 112,178 56,089 168,268 84,134 42,067 126,202 63,101 189,304 94,652 47,326 23,663 70,990 35,495 106,486 53,243 159,730 79,865 239,596 119,798 59,899 179,698 89,849 269,548 134,774 67,387 202,162 101,081 303,244 151,622 75,811 227,434 113,717 341,152 170,576 85,288 42,644 21,322 10,661 31,984 15,992 7,996

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