λ
Harmonic Matrix

2,077,798

2 × 41 × 25339
Deficient Even Composite

2,077,798 has digital root 4. The neighboring primes are 2077781 and 2077807; its proper-divisor sum differs from the starting integer by -962,756.

Prime Factor Structure

Factorization String 2 × 41 × 25339
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,192,840
Proper Divisor Sum 1,115,042
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2077781 ← → #2077807

Radix Representation

Decimal 2077798
Binary 111111011010001100110 (21 bits)
Octal 0o7732146
Hexadecimal 0x1FB466

Divisor Catalog (8)

1 2 41 82 25,339 50,678 1,038,899 2,077,798

Collatz Trajectory (153 steps to reach 1)

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

2,077,798 1,038,899 3,116,698 1,558,349 4,675,048 2,337,524 1,168,762 584,381 1,753,144 876,572 438,286 219,143 657,430 328,715 986,146 493,073 1,479,220 739,610 369,805 1,109,416 554,708 277,354 138,677 416,032 208,016 104,008 52,004 26,002 13,001 39,004 19,502 9,751 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086 1,543 4,630 2,315 6,946 3,473 10,420 5,210 2,605 7,816 3,908 1,954 977 2,932 1,466 733 2,200

More profiles

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