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Atlas › Integer Profiles › Node 15,768,750

15,768,750

2 × 3 × 55 × 292
Abundant Even Composite

15,768,750 factors as 2 × 3 × 5^5 × 29^2. Its 72 positive divisors give a proper-divisor sum of 25,056,762, so this integer is abundant. The Collatz stopping time is 68 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^5 × 29^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 40,825,512
Proper Divisor Sum 25,056,762
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #15768737 ← → #15768751

Radix Representation

Decimal 15768750
Binary 111100001001110010101110 (24 bits)
Octal 0o74116256
Hexadecimal 0xF09CAE

Divisor Catalog (60 of 72)

1 2 3 5 6 10 15 25 29 30 50 58 75 87 125 145 150 174 250 290 375 435 625 725 750 841 870 1,250 1,450 1,682 1,875 2,175 2,523 3,125 3,625 3,750 4,205 4,350 5,046 6,250 7,250 8,410 9,375 10,875 12,615 18,125 18,750 21,025 21,750 25,230 36,250 42,050 54,375 63,075 90,625 105,125 108,750 126,150 181,250 210,250

Collatz Trajectory (68 steps to reach 1)

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

15,768,750 7,884,375 23,653,126 11,826,563 35,479,690 17,739,845 53,219,536 26,609,768 13,304,884 6,652,442 3,326,221 9,978,664 4,989,332 2,494,666 1,247,333 3,742,000 1,871,000 935,500 467,750 233,875 701,626 350,813 1,052,440 526,220 263,110 131,555 394,666 197,333 592,000 296,000 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80

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