8,070,008

2³ × 79 × 113²

For 8,070,008, the 24 positive divisors have a total of 15,459,600. Removing 8,070,008 leaves 7,389,592, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 79 × 113^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,459,600

Proper Divisor Sum 7,389,592

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8069983 ← → #8070011

Radix Representation

Decimal	8070008
Binary	11110110010001101111000 (23 bits)
Octal	0o36621570
Hexadecimal	0x7B2378

Divisor Catalog (24)

1 2 4 8 79 113 158 226 316 452 632 904 8,927 12,769 17,854 25,538 35,708 51,076 71,416 102,152 1,008,751 2,017,502 4,035,004 8,070,008

Collatz Trajectory (230 steps to reach 1)

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

8,070,008 4,035,004 2,017,502 1,008,751 3,026,254 1,513,127 4,539,382 2,269,691 6,809,074 3,404,537 10,213,612 5,106,806 2,553,403 7,660,210 3,830,105 11,490,316 5,745,158 2,872,579 8,617,738 4,308,869 12,926,608 6,463,304 3,231,652 1,615,826 807,913 2,423,740 1,211,870 605,935 1,817,806 908,903 2,726,710 1,363,355 4,090,066 2,045,033 6,135,100 3,067,550 1,533,775 4,601,326 2,300,663 6,901,990 3,450,995 10,352,986 5,176,493 15,529,480 7,764,740 3,882,370 1,941,185 5,823,556 2,911,778 1,455,889 4,367,668 2,183,834 1,091,917 3,275,752 1,637,876 818,938 409,469 1,228,408 614,204 307,102

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