λ
Integer Codex

8,398,945

5 × 59 × 71 × 401
Deficient Odd Composite

For 8,398,945, the 16 positive divisors have a total of 10,419,840. Removing 8,398,945 leaves 2,020,895, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 59 × 71 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 10,419,840
Proper Divisor Sum 2,020,895
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #8398937 ← → #8398961

Radix Representation

Decimal 8398945
Binary 100000000010100001100001 (24 bits)
Octal 0o40024141
Hexadecimal 0x802861

Divisor Catalog (16)

1 5 59 71 295 355 401 2,005 4,189 20,945 23,659 28,471 118,295 142,355 1,679,789 8,398,945

Collatz Trajectory (230 steps to reach 1)

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

8,398,945 25,196,836 12,598,418 6,299,209 18,897,628 9,448,814 4,724,407 14,173,222 7,086,611 21,259,834 10,629,917 31,889,752 15,944,876 7,972,438 3,986,219 11,958,658 5,979,329 17,937,988 8,968,994 4,484,497 13,453,492 6,726,746 3,363,373 10,090,120 5,045,060 2,522,530 1,261,265 3,783,796 1,891,898 945,949 2,837,848 1,418,924 709,462 354,731 1,064,194 532,097 1,596,292 798,146 399,073 1,197,220 598,610 299,305 897,916 448,958 224,479 673,438 336,719 1,010,158 505,079 1,515,238 757,619 2,272,858 1,136,429 3,409,288 1,704,644 852,322 426,161 1,278,484 639,242 319,621

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