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Atlas › Integer Profiles › Node 60,688,732

60,688,732

22 × 13 × 37 × 31543
Deficient Even Composite

60,688,732 factors as 2^2 × 13 × 37 × 31543. Its 24 positive divisors give a proper-divisor sum of 56,781,124, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2^2 × 13 × 37 × 31543
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 117,469,856
Proper Divisor Sum 56,781,124
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #60688723 ← → #60688739

Radix Representation

Decimal 60688732
Binary 11100111100000100101011100 (26 bits)
Octal 0o347404534
Hexadecimal 0x39E095C

Divisor Catalog (24)

1 2 4 13 26 37 52 74 148 481 962 1,924 31,543 63,086 126,172 410,059 820,118 1,167,091 1,640,236 2,334,182 4,668,364 15,172,183 30,344,366 60,688,732

Collatz Trajectory (163 steps to reach 1)

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

60,688,732 30,344,366 15,172,183 45,516,550 22,758,275 68,274,826 34,137,413 102,412,240 51,206,120 25,603,060 12,801,530 6,400,765 19,202,296 9,601,148 4,800,574 2,400,287 7,200,862 3,600,431 10,801,294 5,400,647 16,201,942 8,100,971 24,302,914 12,151,457 36,454,372 18,227,186 9,113,593 27,340,780 13,670,390 6,835,195 20,505,586 10,252,793 30,758,380 15,379,190 7,689,595 23,068,786 11,534,393 34,603,180 17,301,590 8,650,795 25,952,386 12,976,193 38,928,580 19,464,290 9,732,145 29,196,436 14,598,218 7,299,109 21,897,328 10,948,664 5,474,332 2,737,166 1,368,583 4,105,750 2,052,875 6,158,626 3,079,313 9,237,940 4,618,970 2,309,485

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