1,688,624

2⁴ × 7 × 15077

1,688,624 factors as 2^4 × 7 × 15077. Its 20 positive divisors give a proper-divisor sum of 2,050,720, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 15077

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,739,344

Proper Divisor Sum 2,050,720

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #1688623 ← → #1688629

Radix Representation

Decimal	1688624
Binary	110011100010000110000 (21 bits)
Octal	0o6342060
Hexadecimal	0x19C430

Divisor Catalog (20)

Collatz Trajectory (88 steps to reach 1)

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

1,688,624 844,312 422,156 211,078 105,539 316,618 158,309 474,928 237,464 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720 152,360 76,180 38,090 19,045 57,136 28,568 14,284 7,142 3,571 10,714

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