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Atlas › Integer Profiles › Node 48,754,500

48,754,500

22 × 3 × 53 × 32503
Abundant Even Composite

48,754,500 factors as 2^2 × 3 × 5^3 × 32503. Its 48 positive divisors give a proper-divisor sum of 93,222,972, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^3 × 32503
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 141,977,472
Proper Divisor Sum 93,222,972
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #48754499 ← → #48754523

Radix Representation

Decimal 48754500
Binary 10111001111110111101000100 (26 bits)
Octal 0o271767504
Hexadecimal 0x2E7EF44

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1,500 32,503 65,006 97,509 130,012 162,515 195,018 325,030 390,036 487,545 650,060 812,575 975,090 1,625,150 1,950,180 2,437,725 3,250,300 4,062,875 4,875,450 8,125,750 9,750,900 12,188,625 16,251,500 24,377,250 48,754,500

Collatz Trajectory (137 steps to reach 1)

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

48,754,500 24,377,250 12,188,625 36,565,876 18,282,938 9,141,469 27,424,408 13,712,204 6,856,102 3,428,051 10,284,154 5,142,077 15,426,232 7,713,116 3,856,558 1,928,279 5,784,838 2,892,419 8,677,258 4,338,629 13,015,888 6,507,944 3,253,972 1,626,986 813,493 2,440,480 1,220,240 610,120 305,060 152,530 76,265 228,796 114,398 57,199 171,598 85,799 257,398 128,699 386,098 193,049 579,148 289,574 144,787 434,362 217,181 651,544 325,772 162,886 81,443 244,330 122,165 366,496 183,248 91,624 45,812 22,906 11,453 34,360 17,180 8,590

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