8,464,015

5 × 7² × 179 × 193

For 8,464,015, the 24 positive divisors have a total of 11,942,640. Removing 8,464,015 leaves 3,478,625, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 7^2 × 179 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,942,640

Proper Divisor Sum 3,478,625

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8464007 ← → #8464019

Radix Representation

Decimal	8464015
Binary	100000010010011010001111 (24 bits)
Octal	0o40223217
Hexadecimal	0x81268F

Divisor Catalog (24)

1 5 7 35 49 179 193 245 895 965 1,253 1,351 6,265 6,755 8,771 9,457 34,547 43,855 47,285 172,735 241,829 1,209,145 1,692,803 8,464,015

Collatz Trajectory (129 steps to reach 1)

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

8,464,015 25,392,046 12,696,023 38,088,070 19,044,035 57,132,106 28,566,053 85,698,160 42,849,080 21,424,540 10,712,270 5,356,135 16,068,406 8,034,203 24,102,610 12,051,305 36,153,916 18,076,958 9,038,479 27,115,438 13,557,719 40,673,158 20,336,579 61,009,738 30,504,869 91,514,608 45,757,304 22,878,652 11,439,326 5,719,663 17,158,990 8,579,495 25,738,486 12,869,243 38,607,730 19,303,865 57,911,596 28,955,798 14,477,899 43,433,698 21,716,849 65,150,548 32,575,274 16,287,637 48,862,912 24,431,456 12,215,728 6,107,864 3,053,932 1,526,966 763,483 2,290,450 1,145,225 3,435,676 1,717,838 858,919 2,576,758 1,288,379 3,865,138 1,932,569

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