λ
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Atlas › Integer Profiles › Node 86,176,790

86,176,790

2 × 5 × 72 × 397 × 443
Abundant Even Composite

86,176,790 factors as 2 × 5 × 7^2 × 397 × 443. Its 48 positive divisors give a proper-divisor sum of 95,129,722, so this integer is abundant. The Collatz stopping time is 267 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 397 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 181,306,512
Proper Divisor Sum 95,129,722
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #86176787 ← → #86176813

Radix Representation

Decimal 86176790
Binary 101001000101111010000010110 (27 bits)
Octal 0o510572026
Hexadecimal 0x522F416

Divisor Catalog (48)

1 2 5 7 10 14 35 49 70 98 245 397 443 490 794 886 1,985 2,215 2,779 3,101 3,970 4,430 5,558 6,202 13,895 15,505 19,453 21,707 27,790 31,010 38,906 43,414 97,265 108,535 175,871 194,530 217,070 351,742 879,355 1,231,097 1,758,710 2,462,194 6,155,485 8,617,679 12,310,970 17,235,358 43,088,395 86,176,790

Collatz Trajectory (267 steps to reach 1)

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

86,176,790 43,088,395 129,265,186 64,632,593 193,897,780 96,948,890 48,474,445 145,423,336 72,711,668 36,355,834 18,177,917 54,533,752 27,266,876 13,633,438 6,816,719 20,450,158 10,225,079 30,675,238 15,337,619 46,012,858 23,006,429 69,019,288 34,509,644 17,254,822 8,627,411 25,882,234 12,941,117 38,823,352 19,411,676 9,705,838 4,852,919 14,558,758 7,279,379 21,838,138 10,919,069 32,757,208 16,378,604 8,189,302 4,094,651 12,283,954 6,141,977 18,425,932 9,212,966 4,606,483 13,819,450 6,909,725 20,729,176 10,364,588 5,182,294 2,591,147 7,773,442 3,886,721 11,660,164 5,830,082 2,915,041 8,745,124 4,372,562 2,186,281 6,558,844 3,279,422

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