λ
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3,636,768

25 × 3 × 43 × 881
Abundant Even Composite

3,636,768 factors as 2^5 × 3 × 43 × 881. Its 48 positive divisors give a proper-divisor sum of 6,142,848, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 43 × 881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,779,616
Proper Divisor Sum 6,142,848
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3636757 ← → #3636769

Radix Representation

Decimal 3636768
Binary 1101110111111000100000 (22 bits)
Octal 0o15677040
Hexadecimal 0x377E20

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 881 1,032 1,376 1,762 2,064 2,643 3,524 4,128 5,286 7,048 10,572 14,096 21,144 28,192 37,883 42,288 75,766 84,576 113,649 151,532 227,298 303,064 454,596 606,128 909,192 1,212,256 1,818,384 3,636,768

Collatz Trajectory (97 steps to reach 1)

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

3,636,768 1,818,384 909,192 454,596 227,298 113,649 340,948 170,474 85,237 255,712 127,856 63,928 31,964 15,982 7,991 23,974 11,987 35,962 17,981 53,944 26,972 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201 3,604 1,802 901 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647

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