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Atlas › Integer Profiles › Node 1,778,286

1,778,286

2 × 3 × 192 × 821
Abundant Even Composite

1,778,286 factors as 2 × 3 × 19^2 × 821. Its 24 positive divisors give a proper-divisor sum of 1,979,898, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19^2 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,758,184
Proper Divisor Sum 1,979,898
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1778279 ← → #1778299

Radix Representation

Decimal 1778286
Binary 110110010001001101110 (21 bits)
Octal 0o6621156
Hexadecimal 0x1B226E

Divisor Catalog (24)

1 2 3 6 19 38 57 114 361 722 821 1,083 1,642 2,166 2,463 4,926 15,599 31,198 46,797 93,594 296,381 592,762 889,143 1,778,286

Collatz Trajectory (96 steps to reach 1)

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

1,778,286 889,143 2,667,430 1,333,715 4,001,146 2,000,573 6,001,720 3,000,860 1,500,430 750,215 2,250,646 1,125,323 3,375,970 1,687,985 5,063,956 2,531,978 1,265,989 3,797,968 1,898,984 949,492 474,746 237,373 712,120 356,060 178,030 89,015 267,046 133,523 400,570 200,285 600,856 300,428 150,214 75,107 225,322 112,661 337,984 168,992 84,496 42,248 21,124 10,562 5,281 15,844 7,922 3,961 11,884 5,942 2,971 8,914 4,457 13,372 6,686 3,343 10,030 5,015 15,046 7,523 22,570 11,285

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