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Atlas › Integer Profiles › Node 48,754,532

48,754,532

22 × 19 × 59 × 83 × 131
Deficient Even Composite

48,754,532 factors as 2^2 × 19 × 59 × 83 × 131. Its 48 positive divisors give a proper-divisor sum of 44,384,668, so this integer is deficient. The Collatz stopping time is 62 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 59 × 83 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 93,139,200
Proper Divisor Sum 44,384,668
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #48754523 ← → #48754543

Radix Representation

Decimal 48754532
Binary 10111001111110111101100100 (26 bits)
Octal 0o271767544
Hexadecimal 0x2E7EF64

Divisor Catalog (48)

1 2 4 19 38 59 76 83 118 131 166 236 262 332 524 1,121 1,577 2,242 2,489 3,154 4,484 4,897 4,978 6,308 7,729 9,794 9,956 10,873 15,458 19,588 21,746 30,916 43,492 93,043 146,851 186,086 206,587 293,702 372,172 413,174 587,404 641,507 826,348 1,283,014 2,566,028 12,188,633 24,377,266 48,754,532

Collatz Trajectory (62 steps to reach 1)

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

48,754,532 24,377,266 12,188,633 36,565,900 18,282,950 9,141,475 27,424,426 13,712,213 41,136,640 20,568,320 10,284,160 5,142,080 2,571,040 1,285,520 642,760 321,380 160,690 80,345 241,036 120,518 60,259 180,778 90,389 271,168 135,584 67,792 33,896 16,948 8,474 4,237 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8

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