λ
Ratio Atlas

8,202,790

2 × 5 × 820279
Deficient Even Composite

8,202,790 factors as 2 × 5 × 820279. Its 8 positive divisors give a proper-divisor sum of 6,562,250, so this integer is deficient. The Collatz stopping time is 124 steps.

Prime Factor Structure

Factorization String 2 × 5 × 820279
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,765,040
Proper Divisor Sum 6,562,250
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8202787 ← → #8202793

Radix Representation

Decimal 8202790
Binary 11111010010101000100110 (23 bits)
Octal 0o37225046
Hexadecimal 0x7D2A26

Divisor Catalog (8)

1 2 5 10 820,279 1,640,558 4,101,395 8,202,790

Collatz Trajectory (124 steps to reach 1)

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

8,202,790 4,101,395 12,304,186 6,152,093 18,456,280 9,228,140 4,614,070 2,307,035 6,921,106 3,460,553 10,381,660 5,190,830 2,595,415 7,786,246 3,893,123 11,679,370 5,839,685 17,519,056 8,759,528 4,379,764 2,189,882 1,094,941 3,284,824 1,642,412 821,206 410,603 1,231,810 615,905 1,847,716 923,858 461,929 1,385,788 692,894 346,447 1,039,342 519,671 1,559,014 779,507 2,338,522 1,169,261 3,507,784 1,753,892 876,946 438,473 1,315,420 657,710 328,855 986,566 493,283 1,479,850 739,925 2,219,776 1,109,888 554,944 277,472 138,736 69,368 34,684 17,342 8,671

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