999,033

3 × 7 × 113 × 421

For 999,033, the 16 positive divisors have a total of 1,539,456. Removing 999,033 leaves 540,423, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 7 × 113 × 421

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,539,456

Proper Divisor Sum 540,423

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #999029 ← → #999043

Radix Representation

Decimal	999033
Binary	11110011111001111001 (20 bits)
Octal	0o3637171
Hexadecimal	0xF3E79

Divisor Catalog (16)

1 3 7 21 113 339 421 791 1,263 2,373 2,947 8,841 47,573 142,719 333,011 999,033

Collatz Trajectory (113 steps to reach 1)

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

999,033 2,997,100 1,498,550 749,275 2,247,826 1,123,913 3,371,740 1,685,870 842,935 2,528,806 1,264,403 3,793,210 1,896,605 5,689,816 2,844,908 1,422,454 711,227 2,133,682 1,066,841 3,200,524 1,600,262 800,131 2,400,394 1,200,197 3,600,592 1,800,296 900,148 450,074 225,037 675,112 337,556 168,778 84,389 253,168 126,584 63,292 31,646 15,823 47,470 23,735 71,206 35,603 106,810 53,405 160,216 80,108 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337

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