3,486,987

3² × 7² × 7907

3,486,987 factors as 3^2 × 7^2 × 7907. Its 18 positive divisors give a proper-divisor sum of 2,372,841, so this integer is deficient. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 3^2 × 7^2 × 7907

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 5,859,828

Proper Divisor Sum 2,372,841

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3486979 ← → #3486997

Radix Representation

Decimal	3486987
Binary	1101010011010100001011 (22 bits)
Octal	0o15232413
Hexadecimal	0x35350B

Divisor Catalog (18)

1 3 7 9 21 49 63 147 441 7,907 23,721 55,349 71,163 166,047 387,443 498,141 1,162,329 3,486,987

Collatz Trajectory (97 steps to reach 1)

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

3,486,987 10,460,962 5,230,481 15,691,444 7,845,722 3,922,861 11,768,584 5,884,292 2,942,146 1,471,073 4,413,220 2,206,610 1,103,305 3,309,916 1,654,958 827,479 2,482,438 1,241,219 3,723,658 1,861,829 5,585,488 2,792,744 1,396,372 698,186 349,093 1,047,280 523,640 261,820 130,910 65,455 196,366 98,183 294,550 147,275 441,826 220,913 662,740 331,370 165,685 497,056 248,528 124,264 62,132 31,066 15,533 46,600 23,300 11,650 5,825 17,476 8,738 4,369 13,108 6,554 3,277 9,832 4,916 2,458 1,229 3,688

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