48,613,629

3 × 71 × 228233

48,613,629 factors as 3 × 71 × 228233. Its 8 positive divisors give a proper-divisor sum of 17,117,763, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 3 × 71 × 228233

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 65,731,392

Proper Divisor Sum 17,117,763

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #48613613 ← → #48613661

Radix Representation

Decimal	48613629
Binary	10111001011100100011111101 (26 bits)
Octal	0o271344375
Hexadecimal	0x2E5C8FD

Divisor Catalog (8)

1 3 71 213 228,233 684,699 16,204,543 48,613,629

Collatz Trajectory (199 steps to reach 1)

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

48,613,629 145,840,888 72,920,444 36,460,222 18,230,111 54,690,334 27,345,167 82,035,502 41,017,751 123,053,254 61,526,627 184,579,882 92,289,941 276,869,824 138,434,912 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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