λ
Harmonic Matrix

8,830,479

3 × 7 × 420499
Deficient Odd Composite

8,830,479 has digital root 3. The neighboring primes are 8830477 and 8830487; its proper-divisor sum differs from the starting integer by -4,204,958.

Prime Factor Structure

Factorization String 3 × 7 × 420499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,456,000
Proper Divisor Sum 4,625,521
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8830477 ← → #8830487

Radix Representation

Decimal 8830479
Binary 100001101011111000001111 (24 bits)
Octal 0o41537017
Hexadecimal 0x86BE0F

Divisor Catalog (8)

1 3 7 21 420,499 1,261,497 2,943,493 8,830,479

Collatz Trajectory (75 steps to reach 1)

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

8,830,479 26,491,438 13,245,719 39,737,158 19,868,579 59,605,738 29,802,869 89,408,608 44,704,304 22,352,152 11,176,076 5,588,038 2,794,019 8,382,058 4,191,029 12,573,088 6,286,544 3,143,272 1,571,636 785,818 392,909 1,178,728 589,364 294,682 147,341 442,024 221,012 110,506 55,253 165,760 82,880 41,440 20,720 10,360 5,180 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44

More profiles

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