λ
Harmonic Matrix

8,026,562

2 × 29 × 138389
Deficient Even Composite

8,026,562 has digital root 2. The neighboring primes are 8026561 and 8026583; its proper-divisor sum differs from the starting integer by -3,598,024.

Prime Factor Structure

Factorization String 2 × 29 × 138389
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,455,100
Proper Divisor Sum 4,428,538
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8026561 ← → #8026583

Radix Representation

Decimal 8026562
Binary 11110100111100111000010 (23 bits)
Octal 0o36474702
Hexadecimal 0x7A79C2

Divisor Catalog (8)

1 2 29 58 138,389 276,778 4,013,281 8,026,562

Collatz Trajectory (116 steps to reach 1)

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

8,026,562 4,013,281 12,039,844 6,019,922 3,009,961 9,029,884 4,514,942 2,257,471 6,772,414 3,386,207 10,158,622 5,079,311 15,237,934 7,618,967 22,856,902 11,428,451 34,285,354 17,142,677 51,428,032 25,714,016 12,857,008 6,428,504 3,214,252 1,607,126 803,563 2,410,690 1,205,345 3,616,036 1,808,018 904,009 2,712,028 1,356,014 678,007 2,034,022 1,017,011 3,051,034 1,525,517 4,576,552 2,288,276 1,144,138 572,069 1,716,208 858,104 429,052 214,526 107,263 321,790 160,895 482,686 241,343 724,030 362,015 1,086,046 543,023 1,629,070 814,535 2,443,606 1,221,803 3,665,410 1,832,705

More profiles

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