3,756,590

2 × 5 × 23 × 16333

3,756,590 factors as 2 × 5 × 23 × 16333. Its 16 positive divisors give a proper-divisor sum of 3,299,698, so this integer is deficient. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 16333

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,056,288

Proper Divisor Sum 3,299,698

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #3756581 ← → #3756607

Radix Representation

Decimal	3756590
Binary	1110010101001000101110 (22 bits)
Octal	0o16251056
Hexadecimal	0x39522E

Divisor Catalog (16)

1 2 5 10 23 46 115 230 16,333 32,666 81,665 163,330 375,659 751,318 1,878,295 3,756,590

Collatz Trajectory (84 steps to reach 1)

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

3,756,590 1,878,295 5,634,886 2,817,443 8,452,330 4,226,165 12,678,496 6,339,248 3,169,624 1,584,812 792,406 396,203 1,188,610 594,305 1,782,916 891,458 445,729 1,337,188 668,594 334,297 1,002,892 501,446 250,723 752,170 376,085 1,128,256 564,128 282,064 141,032 70,516 35,258 17,629 52,888 26,444 13,222 6,611 19,834 9,917 29,752 14,876 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976

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