λ
Harmonic Matrix

2,977,826

2 × 47 × 79 × 401
Deficient Even Composite

2,977,826 has digital root 5. The neighboring primes are 2977817 and 2977831; its proper-divisor sum differs from the starting integer by -1,324,612.

Prime Factor Structure

Factorization String 2 × 47 × 79 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,631,040
Proper Divisor Sum 1,653,214
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2977817 ← → #2977831

Radix Representation

Decimal 2977826
Binary 1011010111000000100010 (22 bits)
Octal 0o13270042
Hexadecimal 0x2D7022

Divisor Catalog (16)

1 2 47 79 94 158 401 802 3,713 7,426 18,847 31,679 37,694 63,358 1,488,913 2,977,826

Collatz Trajectory (151 steps to reach 1)

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

2,977,826 1,488,913 4,466,740 2,233,370 1,116,685 3,350,056 1,675,028 837,514 418,757 1,256,272 628,136 314,068 157,034 78,517 235,552 117,776 58,888 29,444 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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