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Atlas › Integer Profiles › Node 3,756,906

3,756,906

2 × 32 × 37 × 5641
Abundant Even Composite

3,756,906 factors as 2 × 3^2 × 37 × 5641. Its 24 positive divisors give a proper-divisor sum of 4,604,538, so this integer is abundant. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 37 × 5641
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,361,444
Proper Divisor Sum 4,604,538
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3756887 ← → #3756917

Radix Representation

Decimal 3756906
Binary 1110010101001101101010 (22 bits)
Octal 0o16251552
Hexadecimal 0x39536A

Divisor Catalog (24)

1 2 3 6 9 18 37 74 111 222 333 666 5,641 11,282 16,923 33,846 50,769 101,538 208,717 417,434 626,151 1,252,302 1,878,453 3,756,906

Collatz Trajectory (172 steps to reach 1)

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

3,756,906 1,878,453 5,635,360 2,817,680 1,408,840 704,420 352,210 176,105 528,316 264,158 132,079 396,238 198,119 594,358 297,179 891,538 445,769 1,337,308 668,654 334,327 1,002,982 501,491 1,504,474 752,237 2,256,712 1,128,356 564,178 282,089 846,268 423,134 211,567 634,702 317,351 952,054 476,027 1,428,082 714,041 2,142,124 1,071,062 535,531 1,606,594 803,297 2,409,892 1,204,946 602,473 1,807,420 903,710 451,855 1,355,566 677,783 2,033,350 1,016,675 3,050,026 1,525,013 4,575,040 2,287,520 1,143,760 571,880 285,940 142,970

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