λ
Harmonic Matrix
Atlas › Integer Profiles › Node 620,215

620,215

5 × 163 × 761
Deficient Odd Composite

620,215 has digital root 7. The neighboring primes are 620201 and 620227; its proper-divisor sum differs from the starting integer by -490,622.

Prime Factor Structure

Factorization String 5 × 163 × 761
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 749,808
Proper Divisor Sum 129,593
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #620201 ← → #620227

Radix Representation

Decimal 620215
Binary 10010111011010110111 (20 bits)
Octal 0o2273267
Hexadecimal 0x976B7

Divisor Catalog (8)

1 5 163 761 815 3,805 124,043 620,215

Collatz Trajectory (172 steps to reach 1)

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

620,215 1,860,646 930,323 2,790,970 1,395,485 4,186,456 2,093,228 1,046,614 523,307 1,569,922 784,961 2,354,884 1,177,442 588,721 1,766,164 883,082 441,541 1,324,624 662,312 331,156 165,578 82,789 248,368 124,184 62,092 31,046 15,523 46,570 23,285 69,856 34,928 17,464 8,732 4,366 2,183 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110

More profiles

2,993,976 6,321,787 4,325,455 9,512,530 2,664,777 3,888,878 3,522,632 4,782,100 3,481,957 8,565,540 7,105,058 9,740,738 9,523,031 1,209,774 1,234,578 7,909,859
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