8,996,008

2³ × 7² × 53 × 433

For 8,996,008, the 48 positive divisors have a total of 20,037,780. Removing 8,996,008 leaves 11,041,772, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 7^2 × 53 × 433

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,037,780

Proper Divisor Sum 11,041,772

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #8995997 ← → #8996011

Radix Representation

Decimal	8996008
Binary	100010010100010010101000 (24 bits)
Octal	0o42242250
Hexadecimal	0x8944A8

Divisor Catalog (48)

1 2 4 7 8 14 28 49 53 56 98 106 196 212 371 392 424 433 742 866 1,484 1,732 2,597 2,968 3,031 3,464 5,194 6,062 10,388 12,124 20,776 21,217 22,949 24,248 42,434 45,898 84,868 91,796 160,643 169,736 183,592 321,286 642,572 1,124,501 1,285,144 2,249,002 4,498,004 8,996,008

Collatz Trajectory (181 steps to reach 1)

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

8,996,008 4,498,004 2,249,002 1,124,501 3,373,504 1,686,752 843,376 421,688 210,844 105,422 52,711 158,134 79,067 237,202 118,601 355,804 177,902 88,951 266,854 133,427 400,282 200,141 600,424 300,212 150,106 75,053 225,160 112,580 56,290 28,145 84,436 42,218 21,109 63,328 31,664 15,832 7,916 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265

← Previous Integer #8,996,007 Browse Full Index Next Integer #8,996,009 →