1,688,076

2² × 3² × 13 × 3607

1,688,076 has the prime decomposition 2^2 × 3^2 × 13 × 3607. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 13 × 3607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 4,596,592

Proper Divisor Sum 2,908,516

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1688069 ← → #1688077

Radix Representation

Decimal	1688076
Binary	110011100001000001100 (21 bits)
Octal	0o6341014
Hexadecimal	0x19C20C

Divisor Catalog (36)

1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 3,607 7,214 10,821 14,428 21,642 32,463 43,284 46,891 64,926 93,782 129,852 140,673 187,564 281,346 422,019 562,692 844,038 1,688,076

Collatz Trajectory (132 steps to reach 1)

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

1,688,076 844,038 422,019 1,266,058 633,029 1,899,088 949,544 474,772 237,386 118,693 356,080 178,040 89,020 44,510 22,255 66,766 33,383 100,150 50,075 150,226 75,113 225,340 112,670 56,335 169,006 84,503 253,510 126,755 380,266 190,133 570,400 285,200 142,600 71,300 35,650 17,825 53,476 26,738 13,369 40,108 20,054 10,027 30,082 15,041 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173 9,520 4,760 2,380 1,190 595 1,786

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