λ
Integer Codex

8,800,842

2 × 3 × 131 × 11197
Abundant Even Composite

For 8,800,842, the 16 positive divisors have a total of 17,737,632. Removing 8,800,842 leaves 8,936,790, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 131 × 11197
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 17,737,632
Proper Divisor Sum 8,936,790
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8800829 ← → #8800867

Radix Representation

Decimal 8800842
Binary 100001100100101001001010 (24 bits)
Octal 0o41445112
Hexadecimal 0x864A4A

Divisor Catalog (16)

1 2 3 6 131 262 393 786 11,197 22,394 33,591 67,182 1,466,807 2,933,614 4,400,421 8,800,842

Collatz Trajectory (93 steps to reach 1)

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

8,800,842 4,400,421 13,201,264 6,600,632 3,300,316 1,650,158 825,079 2,475,238 1,237,619 3,712,858 1,856,429 5,569,288 2,784,644 1,392,322 696,161 2,088,484 1,044,242 522,121 1,566,364 783,182 391,591 1,174,774 587,387 1,762,162 881,081 2,643,244 1,321,622 660,811 1,982,434 991,217 2,973,652 1,486,826 743,413 2,230,240 1,115,120 557,560 278,780 139,390 69,695 209,086 104,543 313,630 156,815 470,446 235,223 705,670 352,835 1,058,506 529,253 1,587,760 793,880 396,940 198,470 99,235 297,706 148,853 446,560 223,280 111,640 55,820

More profiles

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