45,404,788

2² × 11 × 13 × 79379

45,404,788 factors as 2^2 × 11 × 13 × 79379. Its 24 positive divisors give a proper-divisor sum of 47,946,092, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 79379

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 93,350,880

Proper Divisor Sum 47,946,092

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #45404747 ← → #45404789

Radix Representation

Decimal	45404788
Binary	10101101001101001001110100 (26 bits)
Octal	0o255151164
Hexadecimal	0x2B4D274

Divisor Catalog (24)

Collatz Trajectory (155 steps to reach 1)

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

45,404,788 22,702,394 11,351,197 34,053,592 17,026,796 8,513,398 4,256,699 12,770,098 6,385,049 19,155,148 9,577,574 4,788,787 14,366,362 7,183,181 21,549,544 10,774,772 5,387,386 2,693,693 8,081,080 4,040,540 2,020,270 1,010,135 3,030,406 1,515,203 4,545,610 2,272,805 6,818,416 3,409,208 1,704,604 852,302 426,151 1,278,454 639,227 1,917,682 958,841 2,876,524 1,438,262 719,131 2,157,394 1,078,697 3,236,092 1,618,046 809,023 2,427,070 1,213,535 3,640,606 1,820,303 5,460,910 2,730,455 8,191,366 4,095,683 12,287,050 6,143,525 18,430,576 9,215,288 4,607,644 2,303,822 1,151,911 3,455,734 1,727,867

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