λ
Harmonic Matrix

2,079,656

23 × 47 × 5531
Deficient Even Composite

2,079,656 has digital root 8. The neighboring primes are 2079653 and 2079709; its proper-divisor sum differs from the starting integer by -176,272.

Prime Factor Structure

Factorization String 2^3 × 47 × 5531
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,983,040
Proper Divisor Sum 1,903,384
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #2079653 ← → #2079709

Radix Representation

Decimal 2079656
Binary 111111011101110101000 (21 bits)
Octal 0o7735650
Hexadecimal 0x1FBBA8

Divisor Catalog (16)

1 2 4 8 47 94 188 376 5,531 11,062 22,124 44,248 259,957 519,914 1,039,828 2,079,656

Collatz Trajectory (47 steps to reach 1)

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

2,079,656 1,039,828 519,914 259,957 779,872 389,936 194,968 97,484 48,742 24,371 73,114 36,557 109,672 54,836 27,418 13,709 41,128 20,564 10,282 5,141 15,424 7,712 3,856 1,928 964 482 241 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

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