λ
Integer Codex

1,629,722

2 × 17 × 47933
Deficient Even Composite

For 1,629,722, the 8 positive divisors have a total of 2,588,436. Removing 1,629,722 leaves 958,714, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 17 × 47933
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,588,436
Proper Divisor Sum 958,714
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1629721 ← → #1629731

Radix Representation

Decimal 1629722
Binary 110001101111000011010 (21 bits)
Octal 0o6157032
Hexadecimal 0x18DE1A

Divisor Catalog (8)

1 2 17 34 47,933 95,866 814,861 1,629,722

Collatz Trajectory (114 steps to reach 1)

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

1,629,722 814,861 2,444,584 1,222,292 611,146 305,573 916,720 458,360 229,180 114,590 57,295 171,886 85,943 257,830 128,915 386,746 193,373 580,120 290,060 145,030 72,515 217,546 108,773 326,320 163,160 81,580 40,790 20,395 61,186 30,593 91,780 45,890 22,945 68,836 34,418 17,209 51,628 25,814 12,907 38,722 19,361 58,084 29,042 14,521 43,564 21,782 10,891 32,674 16,337 49,012 24,506 12,253 36,760 18,380 9,190 4,595 13,786 6,893 20,680 10,340

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