λ
Integer Codex

5,309,889

3 × 13 × 173 × 787
Deficient Odd Composite

For 5,309,889, the 16 positive divisors have a total of 7,678,272. Removing 5,309,889 leaves 2,368,383, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 13 × 173 × 787
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,678,272
Proper Divisor Sum 2,368,383
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #5309861 ← → #5309891

Radix Representation

Decimal 5309889
Binary 10100010000010111000001 (23 bits)
Octal 0o24202701
Hexadecimal 0x5105C1

Divisor Catalog (16)

1 3 13 39 173 519 787 2,249 2,361 6,747 10,231 30,693 136,151 408,453 1,769,963 5,309,889

Collatz Trajectory (126 steps to reach 1)

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

5,309,889 15,929,668 7,964,834 3,982,417 11,947,252 5,973,626 2,986,813 8,960,440 4,480,220 2,240,110 1,120,055 3,360,166 1,680,083 5,040,250 2,520,125 7,560,376 3,780,188 1,890,094 945,047 2,835,142 1,417,571 4,252,714 2,126,357 6,379,072 3,189,536 1,594,768 797,384 398,692 199,346 99,673 299,020 149,510 74,755 224,266 112,133 336,400 168,200 84,100 42,050 21,025 63,076 31,538 15,769 47,308 23,654 11,827 35,482 17,741 53,224 26,612 13,306 6,653 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615

More profiles

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