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59,629,632

26 × 3 × 310571
Abundant Even Composite

59,629,632 factors as 2^6 × 3 × 310571. Its 28 positive divisors give a proper-divisor sum of 98,140,944, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 310571
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 157,770,576
Proper Divisor Sum 98,140,944
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #59629631 ← → #59629637

Radix Representation

Decimal 59629632
Binary 11100011011110000001000000 (26 bits)
Octal 0o343360100
Hexadecimal 0x38DE040

Divisor Catalog (28)

1 2 3 4 6 8 12 16 24 32 48 64 96 192 310,571 621,142 931,713 1,242,284 1,863,426 2,484,568 3,726,852 4,969,136 7,453,704 9,938,272 14,907,408 19,876,544 29,814,816 59,629,632

Collatz Trajectory (145 steps to reach 1)

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

59,629,632 29,814,816 14,907,408 7,453,704 3,726,852 1,863,426 931,713 2,795,140 1,397,570 698,785 2,096,356 1,048,178 524,089 1,572,268 786,134 393,067 1,179,202 589,601 1,768,804 884,402 442,201 1,326,604 663,302 331,651 994,954 497,477 1,492,432 746,216 373,108 186,554 93,277 279,832 139,916 69,958 34,979 104,938 52,469 157,408 78,704 39,352 19,676 9,838 4,919 14,758 7,379 22,138 11,069 33,208 16,604 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510

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