1,688,204

2² × 7 × 60293

1,688,204 factors as 2^2 × 7 × 60293. Its 12 positive divisors give a proper-divisor sum of 1,688,260, so this integer is abundant. The Collatz stopping time is 83 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 60293

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,376,464

Proper Divisor Sum 1,688,260

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #1688201 ← → #1688213

Radix Representation

Decimal	1688204
Binary	110011100001010001100 (21 bits)
Octal	0o6341214
Hexadecimal	0x19C28C

Divisor Catalog (12)

1 2 4 7 14 28 60,293 120,586 241,172 422,051 844,102 1,688,204

Collatz Trajectory (83 steps to reach 1)

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

1,688,204 844,102 422,051 1,266,154 633,077 1,899,232 949,616 474,808 237,404 118,702 59,351 178,054 89,027 267,082 133,541 400,624 200,312 100,156 50,078 25,039 75,118 37,559 112,678 56,339 169,018 84,509 253,528 126,764 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298

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