λ
Harmonic Matrix

8,908,959

3 × 467 × 6359
Deficient Odd Composite

8,908,959 has digital root 3. The neighboring primes are 8908951 and 8908979; its proper-divisor sum differs from the starting integer by -5,911,998.

Prime Factor Structure

Factorization String 3 × 467 × 6359
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,905,920
Proper Divisor Sum 2,996,961
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8908951 ← → #8908979

Radix Representation

Decimal 8908959
Binary 100001111111000010011111 (24 bits)
Octal 0o41770237
Hexadecimal 0x87F09F

Divisor Catalog (8)

Collatz Trajectory (318 steps to reach 1)

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

8,908,959 26,726,878 13,363,439 40,090,318 20,045,159 60,135,478 30,067,739 90,203,218 45,101,609 135,304,828 67,652,414 33,826,207 101,478,622 50,739,311 152,217,934 76,108,967 228,326,902 114,163,451 342,490,354 171,245,177 513,735,532 256,867,766 128,433,883 385,301,650 192,650,825 577,952,476 288,976,238 144,488,119 433,464,358 216,732,179 650,196,538 325,098,269 975,294,808 487,647,404 243,823,702 121,911,851 365,735,554 182,867,777 548,603,332 274,301,666 137,150,833 411,452,500 205,726,250 102,863,125 308,589,376 154,294,688 77,147,344 38,573,672 19,286,836 9,643,418 4,821,709 14,465,128 7,232,564 3,616,282 1,808,141 5,424,424 2,712,212 1,356,106 678,053 2,034,160

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