λ
Ratio Atlas

8,302,969

617 × 13457
Deficient Odd Composite

8,302,969 factors as 617 × 13457. Its 4 positive divisors give a proper-divisor sum of 14,075, so this integer is deficient. The Collatz stopping time is 349 steps.

Prime Factor Structure

Factorization String 617 × 13457
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,317,044
Proper Divisor Sum 14,075
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8302967 ← → #8302991

Radix Representation

Decimal 8302969
Binary 11111101011000101111001 (23 bits)
Octal 0o37530571
Hexadecimal 0x7EB179

Divisor Catalog (4)

Collatz Trajectory (349 steps to reach 1)

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

8,302,969 24,908,908 12,454,454 6,227,227 18,681,682 9,340,841 28,022,524 14,011,262 7,005,631 21,016,894 10,508,447 31,525,342 15,762,671 47,288,014 23,644,007 70,932,022 35,466,011 106,398,034 53,199,017 159,597,052 79,798,526 39,899,263 119,697,790 59,848,895 179,546,686 89,773,343 269,320,030 134,660,015 403,980,046 201,990,023 605,970,070 302,985,035 908,955,106 454,477,553 1,363,432,660 681,716,330 340,858,165 1,022,574,496 511,287,248 255,643,624 127,821,812 63,910,906 31,955,453 95,866,360 47,933,180 23,966,590 11,983,295 35,949,886 17,974,943 53,924,830 26,962,415 80,887,246 40,443,623 121,330,870 60,665,435 181,996,306 90,998,153 272,994,460 136,497,230 68,248,615

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