λ
Harmonic Matrix

620,786

2 × 37 × 8389
Deficient Even Composite

620,786 has digital root 2. The neighboring primes are 620777 and 620813; its proper-divisor sum differs from the starting integer by -285,112.

Prime Factor Structure

Factorization String 2 × 37 × 8389
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 956,460
Proper Divisor Sum 335,674
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #620777 ← → #620813

Radix Representation

Decimal 620786
Binary 10010111100011110010 (20 bits)
Octal 0o2274362
Hexadecimal 0x978F2

Divisor Catalog (8)

1 2 37 74 8,389 16,778 310,393 620,786

Collatz Trajectory (141 steps to reach 1)

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

620,786 310,393 931,180 465,590 232,795 698,386 349,193 1,047,580 523,790 261,895 785,686 392,843 1,178,530 589,265 1,767,796 883,898 441,949 1,325,848 662,924 331,462 165,731 497,194 248,597 745,792 372,896 186,448 93,224 46,612 23,306 11,653 34,960 17,480 8,740 4,370 2,185 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650

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