λ
Match Zalai

8,868,075

3 × 52 × 317 × 373
Deficient Odd Composite

8,868,075 factors as 3 × 5^2 × 317 × 373. Its 24 positive divisors give a proper-divisor sum of 5,879,493, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 3 × 5^2 × 317 × 373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,747,568
Proper Divisor Sum 5,879,493
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8868071 ← → #8868089

Radix Representation

Decimal 8868075
Binary 100001110101000011101011 (24 bits)
Octal 0o41650353
Hexadecimal 0x8750EB

Divisor Catalog (24)

1 3 5 15 25 75 317 373 951 1,119 1,585 1,865 4,755 5,595 7,925 9,325 23,775 27,975 118,241 354,723 591,205 1,773,615 2,956,025 8,868,075

Collatz Trajectory (212 steps to reach 1)

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

8,868,075 26,604,226 13,302,113 39,906,340 19,953,170 9,976,585 29,929,756 14,964,878 7,482,439 22,447,318 11,223,659 33,670,978 16,835,489 50,506,468 25,253,234 12,626,617 37,879,852 18,939,926 9,469,963 28,409,890 14,204,945 42,614,836 21,307,418 10,653,709 31,961,128 15,980,564 7,990,282 3,995,141 11,985,424 5,992,712 2,996,356 1,498,178 749,089 2,247,268 1,123,634 561,817 1,685,452 842,726 421,363 1,264,090 632,045 1,896,136 948,068 474,034 237,017 711,052 355,526 177,763 533,290 266,645 799,936 399,968 199,984 99,992 49,996 24,998 12,499 37,498 18,749 56,248

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