λ
Harmonic Matrix

8,408,812

22 × 17 × 31 × 3989
Deficient Even Composite

8,408,812 has digital root 4. The neighboring primes are 8408801 and 8408819; its proper-divisor sum differs from the starting integer by -729,944.

Prime Factor Structure

Factorization String 2^2 × 17 × 31 × 3989
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,087,680
Proper Divisor Sum 7,678,868
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8408801 ← → #8408819

Radix Representation

Decimal 8408812
Binary 100000000100111011101100 (24 bits)
Octal 0o40047354
Hexadecimal 0x804EEC

Divisor Catalog (24)

1 2 4 17 31 34 62 68 124 527 1,054 2,108 3,989 7,978 15,956 67,813 123,659 135,626 247,318 271,252 494,636 2,102,203 4,204,406 8,408,812

Collatz Trajectory (129 steps to reach 1)

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

8,408,812 4,204,406 2,102,203 6,306,610 3,153,305 9,459,916 4,729,958 2,364,979 7,094,938 3,547,469 10,642,408 5,321,204 2,660,602 1,330,301 3,990,904 1,995,452 997,726 498,863 1,496,590 748,295 2,244,886 1,122,443 3,367,330 1,683,665 5,050,996 2,525,498 1,262,749 3,788,248 1,894,124 947,062 473,531 1,420,594 710,297 2,130,892 1,065,446 532,723 1,598,170 799,085 2,397,256 1,198,628 599,314 299,657 898,972 449,486 224,743 674,230 337,115 1,011,346 505,673 1,517,020 758,510 379,255 1,137,766 568,883 1,706,650 853,325 2,559,976 1,279,988 639,994 319,997

More profiles

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