48,623,974

2 × 7² × 496163

48,623,974 factors as 2 × 7^2 × 496163. Its 12 positive divisors give a proper-divisor sum of 36,220,070, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 496163

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 84,844,044

Proper Divisor Sum 36,220,070

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #48623951 ← → #48623987

Radix Representation

Decimal	48623974
Binary	10111001011111000101100110 (26 bits)
Octal	0o271370546
Hexadecimal	0x2E5F166

Divisor Catalog (12)

1 2 7 14 49 98 496,163 992,326 3,473,141 6,946,282 24,311,987 48,623,974

Collatz Trajectory (186 steps to reach 1)

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

48,623,974 24,311,987 72,935,962 36,467,981 109,403,944 54,701,972 27,350,986 13,675,493 41,026,480 20,513,240 10,256,620 5,128,310 2,564,155 7,692,466 3,846,233 11,538,700 5,769,350 2,884,675 8,654,026 4,327,013 12,981,040 6,490,520 3,245,260 1,622,630 811,315 2,433,946 1,216,973 3,650,920 1,825,460 912,730 456,365 1,369,096 684,548 342,274 171,137 513,412 256,706 128,353 385,060 192,530 96,265 288,796 144,398 72,199 216,598 108,299 324,898 162,449 487,348 243,674 121,837 365,512 182,756 91,378 45,689 137,068 68,534 34,267 102,802 51,401

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