3,688,881

3 × 7 × 17 × 10333

3,688,881 factors as 3 × 7 × 17 × 10333. Its 16 positive divisors give a proper-divisor sum of 2,263,503, so this integer is deficient. The Collatz stopping time is 172 steps.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 10333

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,952,384

Proper Divisor Sum 2,263,503

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3688877 ← → #3688897

Radix Representation

Decimal	3688881
Binary	1110000100100110110001 (22 bits)
Octal	0o16044661
Hexadecimal	0x3849B1

Divisor Catalog (16)

1 3 7 17 21 51 119 357 10,333 30,999 72,331 175,661 216,993 526,983 1,229,627 3,688,881

Collatz Trajectory (172 steps to reach 1)

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

3,688,881 11,066,644 5,533,322 2,766,661 8,299,984 4,149,992 2,074,996 1,037,498 518,749 1,556,248 778,124 389,062 194,531 583,594 291,797 875,392 437,696 218,848 109,424 54,712 27,356 13,678 6,839 20,518 10,259 30,778 15,389 46,168 23,084 11,542 5,771 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480 2,740 1,370 685 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109

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