8,731,898

2 × 7² × 89101

For 8,731,898, the 12 positive divisors have a total of 15,236,442. Removing 8,731,898 leaves 6,504,544, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7^2 × 89101

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,236,442

Proper Divisor Sum 6,504,544

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #8731873 ← → #8731901

Radix Representation

Decimal	8731898
Binary	100001010011110011111010 (24 bits)
Octal	0o41236372
Hexadecimal	0x853CFA

Divisor Catalog (12)

1 2 7 14 49 98 89,101 178,202 623,707 1,247,414 4,365,949 8,731,898

Collatz Trajectory (150 steps to reach 1)

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

8,731,898 4,365,949 13,097,848 6,548,924 3,274,462 1,637,231 4,911,694 2,455,847 7,367,542 3,683,771 11,051,314 5,525,657 16,576,972 8,288,486 4,144,243 12,432,730 6,216,365 18,649,096 9,324,548 4,662,274 2,331,137 6,993,412 3,496,706 1,748,353 5,245,060 2,622,530 1,311,265 3,933,796 1,966,898 983,449 2,950,348 1,475,174 737,587 2,212,762 1,106,381 3,319,144 1,659,572 829,786 414,893 1,244,680 622,340 311,170 155,585 466,756 233,378 116,689 350,068 175,034 87,517 262,552 131,276 65,638 32,819 98,458 49,229 147,688 73,844 36,922 18,461 55,384

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