7,383,516

2² × 3 × 7² × 29 × 433

Starting at 7,383,516, the Collatz iteration reaches 1 after 80 steps. The first transition is 3691758; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7^2 × 29 × 433

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 20,779,920

Proper Divisor Sum 13,396,404

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7383511 ← → #7383521

Radix Representation

Decimal	7383516
Binary	11100001010100111011100 (23 bits)
Octal	0o34124734
Hexadecimal	0x70A9DC

Divisor Catalog (60 of 72)

1 2 3 4 6 7 12 14 21 28 29 42 49 58 84 87 98 116 147 174 196 203 294 348 406 433 588 609 812 866 1,218 1,299 1,421 1,732 2,436 2,598 2,842 3,031 4,263 5,196 5,684 6,062 8,526 9,093 12,124 12,557 17,052 18,186 21,217 25,114 36,372 37,671 42,434 50,228 63,651 75,342 84,868 87,899 127,302 150,684

Collatz Trajectory (80 steps to reach 1)

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

7,383,516 3,691,758 1,845,879 5,537,638 2,768,819 8,306,458 4,153,229 12,459,688 6,229,844 3,114,922 1,557,461 4,672,384 2,336,192 1,168,096 584,048 292,024 146,012 73,006 36,503 109,510 54,755 164,266 82,133 246,400 123,200 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37

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