λ
Harmonic Matrix

8,734,846

2 × 71 × 137 × 449
Deficient Even Composite

8,734,846 has digital root 4. The neighboring primes are 8734841 and 8734853; its proper-divisor sum differs from the starting integer by -4,056,092.

Prime Factor Structure

Factorization String 2 × 71 × 137 × 449
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,413,600
Proper Divisor Sum 4,678,754
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8734841 ← → #8734853

Radix Representation

Decimal 8734846
Binary 100001010100100001111110 (24 bits)
Octal 0o41244176
Hexadecimal 0x85487E

Divisor Catalog (16)

1 2 71 137 142 274 449 898 9,727 19,454 31,879 61,513 63,758 123,026 4,367,423 8,734,846

Collatz Trajectory (137 steps to reach 1)

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

8,734,846 4,367,423 13,102,270 6,551,135 19,653,406 9,826,703 29,480,110 14,740,055 44,220,166 22,110,083 66,330,250 33,165,125 99,495,376 49,747,688 24,873,844 12,436,922 6,218,461 18,655,384 9,327,692 4,663,846 2,331,923 6,995,770 3,497,885 10,493,656 5,246,828 2,623,414 1,311,707 3,935,122 1,967,561 5,902,684 2,951,342 1,475,671 4,427,014 2,213,507 6,640,522 3,320,261 9,960,784 4,980,392 2,490,196 1,245,098 622,549 1,867,648 933,824 466,912 233,456 116,728 58,364 29,182 14,591 43,774 21,887 65,662 32,831 98,494 49,247 147,742 73,871 221,614 110,807 332,422

More profiles

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