λ
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Atlas › Integer Profiles › Node 86,079,464

86,079,464

23 × 37 × 43 × 6763
Deficient Even Composite

86,079,464 factors as 2^3 × 37 × 43 × 6763. Its 32 positive divisors give a proper-divisor sum of 83,561,656, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 43 × 6763
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 169,641,120
Proper Divisor Sum 83,561,656
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #86079463 ← → #86079491

Radix Representation

Decimal 86079464
Binary 101001000010111011111101000 (27 bits)
Octal 0o510273750
Hexadecimal 0x52177E8

Divisor Catalog (32)

1 2 4 8 37 43 74 86 148 172 296 344 1,591 3,182 6,364 6,763 12,728 13,526 27,052 54,104 250,231 290,809 500,462 581,618 1,000,924 1,163,236 2,001,848 2,326,472 10,759,933 21,519,866 43,039,732 86,079,464

Collatz Trajectory (143 steps to reach 1)

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

86,079,464 43,039,732 21,519,866 10,759,933 32,279,800 16,139,900 8,069,950 4,034,975 12,104,926 6,052,463 18,157,390 9,078,695 27,236,086 13,618,043 40,854,130 20,427,065 61,281,196 30,640,598 15,320,299 45,960,898 22,980,449 68,941,348 34,470,674 17,235,337 51,706,012 25,853,006 12,926,503 38,779,510 19,389,755 58,169,266 29,084,633 87,253,900 43,626,950 21,813,475 65,440,426 32,720,213 98,160,640 49,080,320 24,540,160 12,270,080 6,135,040 3,067,520 1,533,760 766,880 383,440 191,720 95,860 47,930 23,965 71,896 35,948 17,974 8,987 26,962 13,481 40,444 20,222 10,111 30,334 15,167

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