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Atlas › Integer Profiles › Node 49,871,776

49,871,776

25 × 103 × 15131
Deficient Even Composite

49,871,776 factors as 2^5 × 103 × 15131. Its 24 positive divisors give a proper-divisor sum of 49,273,088, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^5 × 103 × 15131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 99,144,864
Proper Divisor Sum 49,273,088
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #49871753 ← → #49871791

Radix Representation

Decimal 49871776
Binary 10111110001111101110100000 (26 bits)
Octal 0o276175640
Hexadecimal 0x2F8FBA0

Divisor Catalog (24)

1 2 4 8 16 32 103 206 412 824 1,648 3,296 15,131 30,262 60,524 121,048 242,096 484,192 1,558,493 3,116,986 6,233,972 12,467,944 24,935,888 49,871,776

Collatz Trajectory (199 steps to reach 1)

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

49,871,776 24,935,888 12,467,944 6,233,972 3,116,986 1,558,493 4,675,480 2,337,740 1,168,870 584,435 1,753,306 876,653 2,629,960 1,314,980 657,490 328,745 986,236 493,118 246,559 739,678 369,839 1,109,518 554,759 1,664,278 832,139 2,496,418 1,248,209 3,744,628 1,872,314 936,157 2,808,472 1,404,236 702,118 351,059 1,053,178 526,589 1,579,768 789,884 394,942 197,471 592,414 296,207 888,622 444,311 1,332,934 666,467 1,999,402 999,701 2,999,104 1,499,552 749,776 374,888 187,444 93,722 46,861 140,584 70,292 35,146 17,573 52,720

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