7,899,921

3² × 41 × 79 × 271

Starting at 7,899,921, the Collatz iteration reaches 1 after 292 steps. The first transition is 23699764; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 41 × 79 × 271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,880,960

Proper Divisor Sum 3,981,039

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7899911 ← → #7899929

Radix Representation

Decimal	7899921
Binary	11110001000101100010001 (23 bits)
Octal	0o36105421
Hexadecimal	0x788B11

Divisor Catalog (24)

1 3 9 41 79 123 237 271 369 711 813 2,439 3,239 9,717 11,111 21,409 29,151 33,333 64,227 99,999 192,681 877,769 2,633,307 7,899,921

Collatz Trajectory (292 steps to reach 1)

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

7,899,921 23,699,764 11,849,882 5,924,941 17,774,824 8,887,412 4,443,706 2,221,853 6,665,560 3,332,780 1,666,390 833,195 2,499,586 1,249,793 3,749,380 1,874,690 937,345 2,812,036 1,406,018 703,009 2,109,028 1,054,514 527,257 1,581,772 790,886 395,443 1,186,330 593,165 1,779,496 889,748 444,874 222,437 667,312 333,656 166,828 83,414 41,707 125,122 62,561 187,684 93,842 46,921 140,764 70,382 35,191 105,574 52,787 158,362 79,181 237,544 118,772 59,386 29,693 89,080 44,540 22,270 11,135 33,406 16,703 50,110

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