40,186,744

2³ × 13 × 386411

40,186,744 factors as 2^3 × 13 × 386411. Its 16 positive divisors give a proper-divisor sum of 40,959,776, so this integer is abundant. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 386411

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 81,146,520

Proper Divisor Sum 40,959,776

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #40186733 ← → #40186787

Radix Representation

Decimal	40186744
Binary	10011001010011001101111000 (26 bits)
Octal	0o231231570
Hexadecimal	0x2653378

Divisor Catalog (16)

1 2 4 8 13 26 52 104 386,411 772,822 1,545,644 3,091,288 5,023,343 10,046,686 20,093,372 40,186,744

Collatz Trajectory (160 steps to reach 1)

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

40,186,744 20,093,372 10,046,686 5,023,343 15,070,030 7,535,015 22,605,046 11,302,523 33,907,570 16,953,785 50,861,356 25,430,678 12,715,339 38,146,018 19,073,009 57,219,028 28,609,514 14,304,757 42,914,272 21,457,136 10,728,568 5,364,284 2,682,142 1,341,071 4,023,214 2,011,607 6,034,822 3,017,411 9,052,234 4,526,117 13,578,352 6,789,176 3,394,588 1,697,294 848,647 2,545,942 1,272,971 3,818,914 1,909,457 5,728,372 2,864,186 1,432,093 4,296,280 2,148,140 1,074,070 537,035 1,611,106 805,553 2,416,660 1,208,330 604,165 1,812,496 906,248 453,124 226,562 113,281 339,844 169,922 84,961 254,884

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