6,516,363

3 × 7² × 97 × 457

Starting at 6,516,363, the Collatz iteration reaches 1 after 116 steps. The first transition is 19549090; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 7^2 × 97 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,233,552

Proper Divisor Sum 3,717,189

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #6516359 ← → #6516379

Radix Representation

Decimal	6516363
Binary	11000110110111010001011 (23 bits)
Octal	0o30667213
Hexadecimal	0x636E8B

Divisor Catalog (24)

1 3 7 21 49 97 147 291 457 679 1,371 2,037 3,199 4,753 9,597 14,259 22,393 44,329 67,179 132,987 310,303 930,909 2,172,121 6,516,363

Collatz Trajectory (116 steps to reach 1)

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

6,516,363 19,549,090 9,774,545 29,323,636 14,661,818 7,330,909 21,992,728 10,996,364 5,498,182 2,749,091 8,247,274 4,123,637 12,370,912 6,185,456 3,092,728 1,546,364 773,182 386,591 1,159,774 579,887 1,739,662 869,831 2,609,494 1,304,747 3,914,242 1,957,121 5,871,364 2,935,682 1,467,841 4,403,524 2,201,762 1,100,881 3,302,644 1,651,322 825,661 2,476,984 1,238,492 619,246 309,623 928,870 464,435 1,393,306 696,653 2,089,960 1,044,980 522,490 261,245 783,736 391,868 195,934 97,967 293,902 146,951 440,854 220,427 661,282 330,641 991,924 495,962 247,981

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