3,731,385

3 × 5 × 7 × 35537

3,731,385 factors as 3 × 5 × 7 × 35537. Its 16 positive divisors give a proper-divisor sum of 3,091,911, so this integer is deficient. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 35537

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,823,296

Proper Divisor Sum 3,091,911

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3731341 ← → #3731393

Radix Representation

Decimal	3731385
Binary	1110001110111110111001 (22 bits)
Octal	0o16167671
Hexadecimal	0x38EFB9

Divisor Catalog (16)

1 3 5 7 15 21 35 105 35,537 106,611 177,685 248,759 533,055 746,277 1,243,795 3,731,385

Collatz Trajectory (159 steps to reach 1)

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

3,731,385 11,194,156 5,597,078 2,798,539 8,395,618 4,197,809 12,593,428 6,296,714 3,148,357 9,445,072 4,722,536 2,361,268 1,180,634 590,317 1,770,952 885,476 442,738 221,369 664,108 332,054 166,027 498,082 249,041 747,124 373,562 186,781 560,344 280,172 140,086 70,043 210,130 105,065 315,196 157,598 78,799 236,398 118,199 354,598 177,299 531,898 265,949 797,848 398,924 199,462 99,731 299,194 149,597 448,792 224,396 112,198 56,099 168,298 84,149 252,448 126,224 63,112 31,556 15,778 7,889 23,668

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