λ
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Atlas › Integer Profiles › Node 32,838,190

32,838,190

2 × 5 × 7 × 112 × 3877
Abundant Even Composite

32,838,190 factors as 2 × 5 × 7 × 11^2 × 3877. Its 48 positive divisors give a proper-divisor sum of 41,433,266, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11^2 × 3877
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 74,271,456
Proper Divisor Sum 41,433,266
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #32838187 ← → #32838199

Radix Representation

Decimal 32838190
Binary 1111101010001001000101110 (25 bits)
Octal 0o175211056
Hexadecimal 0x1F5122E

Divisor Catalog (48)

1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 242 385 605 770 847 1,210 1,694 3,877 4,235 7,754 8,470 19,385 27,139 38,770 42,647 54,278 85,294 135,695 213,235 271,390 298,529 426,470 469,117 597,058 938,234 1,492,645 2,345,585 2,985,290 3,283,819 4,691,170 6,567,638 16,419,095 32,838,190

Collatz Trajectory (201 steps to reach 1)

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

32,838,190 16,419,095 49,257,286 24,628,643 73,885,930 36,942,965 110,828,896 55,414,448 27,707,224 13,853,612 6,926,806 3,463,403 10,390,210 5,195,105 15,585,316 7,792,658 3,896,329 11,688,988 5,844,494 2,922,247 8,766,742 4,383,371 13,150,114 6,575,057 19,725,172 9,862,586 4,931,293 14,793,880 7,396,940 3,698,470 1,849,235 5,547,706 2,773,853 8,321,560 4,160,780 2,080,390 1,040,195 3,120,586 1,560,293 4,680,880 2,340,440 1,170,220 585,110 292,555 877,666 438,833 1,316,500 658,250 329,125 987,376 493,688 246,844 123,422 61,711 185,134 92,567 277,702 138,851 416,554 208,277

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