λ
Zalai Atlas

9,908,582

2 × 73 × 67867
Deficient Even Composite

9,908,582 has the prime decomposition 2 × 73 × 67867. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 73 × 67867
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 15,066,696
Proper Divisor Sum 5,158,114
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #9908551 ← → #9908599

Radix Representation

Decimal 9908582
Binary 100101110011000101100110 (24 bits)
Octal 0o45630546
Hexadecimal 0x973166

Divisor Catalog (8)

1 2 73 146 67,867 135,734 4,954,291 9,908,582

Collatz Trajectory (145 steps to reach 1)

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

9,908,582 4,954,291 14,862,874 7,431,437 22,294,312 11,147,156 5,573,578 2,786,789 8,360,368 4,180,184 2,090,092 1,045,046 522,523 1,567,570 783,785 2,351,356 1,175,678 587,839 1,763,518 881,759 2,645,278 1,322,639 3,967,918 1,983,959 5,951,878 2,975,939 8,927,818 4,463,909 13,391,728 6,695,864 3,347,932 1,673,966 836,983 2,510,950 1,255,475 3,766,426 1,883,213 5,649,640 2,824,820 1,412,410 706,205 2,118,616 1,059,308 529,654 264,827 794,482 397,241 1,191,724 595,862 297,931 893,794 446,897 1,340,692 670,346 335,173 1,005,520 502,760 251,380 125,690 62,845

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