λ
Harmonic Matrix

8,201,758

2 × 4100879
Deficient Even Composite

8,201,758 has digital root 4. The neighboring primes are 8201747 and 8201771; its proper-divisor sum differs from the starting integer by -4,100,876.

Prime Factor Structure

Factorization String 2 × 4100879
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,302,640
Proper Divisor Sum 4,100,882
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8201747 ← → #8201771

Radix Representation

Decimal 8201758
Binary 11111010010011000011110 (23 bits)
Octal 0o37223036
Hexadecimal 0x7D261E

Divisor Catalog (4)

1 2 4,100,879 8,201,758

Collatz Trajectory (80 steps to reach 1)

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

8,201,758 4,100,879 12,302,638 6,151,319 18,453,958 9,226,979 27,680,938 13,840,469 41,521,408 20,760,704 10,380,352 5,190,176 2,595,088 1,297,544 648,772 324,386 162,193 486,580 243,290 121,645 364,936 182,468 91,234 45,617 136,852 68,426 34,213 102,640 51,320 25,660 12,830 6,415 19,246 9,623 28,870 14,435 43,306 21,653 64,960 32,480 16,240 8,120 4,060 2,030 1,015 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448

More profiles

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