48,613,626

2 × 3² × 359 × 7523

48,613,626 factors as 2 × 3^2 × 359 × 7523. Its 24 positive divisors give a proper-divisor sum of 57,023,334, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 359 × 7523

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 105,636,960

Proper Divisor Sum 57,023,334

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #48613613 ← → #48613661

Radix Representation

Decimal	48613626
Binary	10111001011100100011111010 (26 bits)
Octal	0o271344372
Hexadecimal	0x2E5C8FA

Divisor Catalog (24)

Collatz Trajectory (199 steps to reach 1)

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

48,613,626 24,306,813 72,920,440 36,460,220 18,230,110 9,115,055 27,345,166 13,672,583 41,017,750 20,508,875 61,526,626 30,763,313 92,289,940 46,144,970 23,072,485 69,217,456 34,608,728 17,304,364 8,652,182 4,326,091 12,978,274 6,489,137 19,467,412 9,733,706 4,866,853 14,600,560 7,300,280 3,650,140 1,825,070 912,535 2,737,606 1,368,803 4,106,410 2,053,205 6,159,616 3,079,808 1,539,904 769,952 384,976 192,488 96,244 48,122 24,061 72,184 36,092 18,046 9,023 27,070 13,535 40,606 20,303 60,910 30,455 91,366 45,683 137,050 68,525 205,576 102,788 51,394

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