λ
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15,080,620

22 × 5 × 41 × 53 × 347
Abundant Even Composite

15,080,620 factors as 2^2 × 5 × 41 × 53 × 347. Its 48 positive divisors give a proper-divisor sum of 18,068,468, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 41 × 53 × 347
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,149,088
Proper Divisor Sum 18,068,468
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #15080599 ← → #15080647

Radix Representation

Decimal 15080620
Binary 111001100001110010101100 (24 bits)
Octal 0o71416254
Hexadecimal 0xE61CAC

Divisor Catalog (48)

1 2 4 5 10 20 41 53 82 106 164 205 212 265 347 410 530 694 820 1,060 1,388 1,735 2,173 3,470 4,346 6,940 8,692 10,865 14,227 18,391 21,730 28,454 36,782 43,460 56,908 71,135 73,564 91,955 142,270 183,910 284,540 367,820 754,031 1,508,062 3,016,124 3,770,155 7,540,310 15,080,620

Collatz Trajectory (112 steps to reach 1)

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

15,080,620 7,540,310 3,770,155 11,310,466 5,655,233 16,965,700 8,482,850 4,241,425 12,724,276 6,362,138 3,181,069 9,543,208 4,771,604 2,385,802 1,192,901 3,578,704 1,789,352 894,676 447,338 223,669 671,008 335,504 167,752 83,876 41,938 20,969 62,908 31,454 15,727 47,182 23,591 70,774 35,387 106,162 53,081 159,244 79,622 39,811 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262 10,631 31,894 15,947

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