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Atlas › Integer Profiles › Node 49,871,848

49,871,848

23 × 13 × 73 × 6569
Abundant Even Composite

49,871,848 factors as 2^3 × 13 × 73 × 6569. Its 32 positive divisors give a proper-divisor sum of 52,225,952, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 73 × 6569
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 102,097,800
Proper Divisor Sum 52,225,952
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #49871821 ← → #49871869

Radix Representation

Decimal 49871848
Binary 10111110001111101111101000 (26 bits)
Octal 0o276175750
Hexadecimal 0x2F8FBE8

Divisor Catalog (32)

1 2 4 8 13 26 52 73 104 146 292 584 949 1,898 3,796 6,569 7,592 13,138 26,276 52,552 85,397 170,794 341,588 479,537 683,176 959,074 1,918,148 3,836,296 6,233,981 12,467,962 24,935,924 49,871,848

Collatz Trajectory (199 steps to reach 1)

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

49,871,848 24,935,924 12,467,962 6,233,981 18,701,944 9,350,972 4,675,486 2,337,743 7,013,230 3,506,615 10,519,846 5,259,923 15,779,770 7,889,885 23,669,656 11,834,828 5,917,414 2,958,707 8,876,122 4,438,061 13,314,184 6,657,092 3,328,546 1,664,273 4,992,820 2,496,410 1,248,205 3,744,616 1,872,308 936,154 468,077 1,404,232 702,116 351,058 175,529 526,588 263,294 131,647 394,942 197,471 592,414 296,207 888,622 444,311 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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