3,756,444

2² × 3 × 313037

3,756,444 factors as 2^2 × 3 × 313037. Its 12 positive divisors give a proper-divisor sum of 5,008,620, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 313037

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,765,064

Proper Divisor Sum 5,008,620

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3756443 ← → #3756451

Radix Representation

Decimal	3756444
Binary	1110010101000110011100 (22 bits)
Octal	0o16250634
Hexadecimal	0x39519C

Divisor Catalog (12)

1 2 3 4 6 12 313,037 626,074 939,111 1,252,148 1,878,222 3,756,444

Collatz Trajectory (133 steps to reach 1)

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

3,756,444 1,878,222 939,111 2,817,334 1,408,667 4,226,002 2,113,001 6,339,004 3,169,502 1,584,751 4,754,254 2,377,127 7,131,382 3,565,691 10,697,074 5,348,537 16,045,612 8,022,806 4,011,403 12,034,210 6,017,105 18,051,316 9,025,658 4,512,829 13,538,488 6,769,244 3,384,622 1,692,311 5,076,934 2,538,467 7,615,402 3,807,701 11,423,104 5,711,552 2,855,776 1,427,888 713,944 356,972 178,486 89,243 267,730 133,865 401,596 200,798 100,399 301,198 150,599 451,798 225,899 677,698 338,849 1,016,548 508,274 254,137 762,412 381,206 190,603 571,810 285,905 857,716

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