9,998,724

2² × 3 × 491 × 1697

9,998,724 has digital root 3. The neighboring primes are 9998719 and 9998741; its proper-divisor sum differs from the starting integer by 3,394,200.

Prime Factor Structure

Factorization String 2^2 × 3 × 491 × 1697

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 23,391,648

Proper Divisor Sum 13,392,924

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #9998719 ← → #9998741

Radix Representation

Decimal	9998724
Binary	100110001001000110000100 (24 bits)
Octal	0o46110604
Hexadecimal	0x989184

Divisor Catalog (24)

1 2 3 4 6 12 491 982 1,473 1,697 1,964 2,946 3,394 5,091 5,892 6,788 10,182 20,364 833,227 1,666,454 2,499,681 3,332,908 4,999,362 9,998,724

Collatz Trajectory (137 steps to reach 1)

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

9,998,724 4,999,362 2,499,681 7,499,044 3,749,522 1,874,761 5,624,284 2,812,142 1,406,071 4,218,214 2,109,107 6,327,322 3,163,661 9,490,984 4,745,492 2,372,746 1,186,373 3,559,120 1,779,560 889,780 444,890 222,445 667,336 333,668 166,834 83,417 250,252 125,126 62,563 187,690 93,845 281,536 140,768 70,384 35,192 17,596 8,798 4,399 13,198 6,599 19,798 9,899 29,698 14,849 44,548 22,274 11,137 33,412 16,706 8,353 25,060 12,530 6,265 18,796 9,398 4,699 14,098 7,049 21,148 10,574

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