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Atlas › Integer Profiles › Node 49,925,000

49,925,000

23 × 55 × 1997
Abundant Even Composite

49,925,000 factors as 2^3 × 5^5 × 1997. Its 48 positive divisors give a proper-divisor sum of 67,137,820, so this integer is abundant. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2^3 × 5^5 × 1997
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 117,062,820
Proper Divisor Sum 67,137,820
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #49924997 ← → #49925009

Radix Representation

Decimal 49925000
Binary 10111110011100101110001000 (26 bits)
Octal 0o276345610
Hexadecimal 0x2F9CB88

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1,000 1,250 1,997 2,500 3,125 3,994 5,000 6,250 7,988 9,985 12,500 15,976 19,970 25,000 39,940 49,925 79,880 99,850 199,700 249,625 399,400 499,250 998,500 1,248,125 1,997,000 2,496,250 4,992,500 6,240,625 9,985,000 12,481,250 24,962,500 49,925,000

Collatz Trajectory (106 steps to reach 1)

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

49,925,000 24,962,500 12,481,250 6,240,625 18,721,876 9,360,938 4,680,469 14,041,408 7,020,704 3,510,352 1,755,176 877,588 438,794 219,397 658,192 329,096 164,548 82,274 41,137 123,412 61,706 30,853 92,560 46,280 23,140 11,570 5,785 17,356 8,678 4,339 13,018 6,509 19,528 9,764 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468

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