9,988,092

2² × 3² × 41 × 67 × 101

9,988,092 has digital root 9. The neighboring primes are 9988073 and 9988109; its proper-divisor sum differs from the starting integer by 6,533,208.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 41 × 67 × 101

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 26,509,392

Proper Divisor Sum 16,521,300

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #9988073 ← → #9988109

Radix Representation

Decimal	9988092
Binary	100110000110011111111100 (24 bits)
Octal	0o46063774
Hexadecimal	0x9867FC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 36 41 67 82 101 123 134 164 201 202 246 268 303 369 402 404 492 603 606 738 804 909 1,206 1,212 1,476 1,818 2,412 2,747 3,636 4,141 5,494 6,767 8,241 8,282 10,988 12,423 13,534 16,482 16,564 20,301 24,723 24,846 27,068 32,964 37,269 40,602 49,446 49,692 60,903 74,538 81,204 98,892

Collatz Trajectory (137 steps to reach 1)

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

9,988,092 4,994,046 2,497,023 7,491,070 3,745,535 11,236,606 5,618,303 16,854,910 8,427,455 25,282,366 12,641,183 37,923,550 18,961,775 56,885,326 28,442,663 85,327,990 42,663,995 127,991,986 63,995,993 191,987,980 95,993,990 47,996,995 143,990,986 71,995,493 215,986,480 107,993,240 53,996,620 26,998,310 13,499,155 40,497,466 20,248,733 60,746,200 30,373,100 15,186,550 7,593,275 22,779,826 11,389,913 34,169,740 17,084,870 8,542,435 25,627,306 12,813,653 38,440,960 19,220,480 9,610,240 4,805,120 2,402,560 1,201,280 600,640 300,320 150,160 75,080 37,540 18,770 9,385 28,156 14,078 7,039 21,118 10,559

← Previous Integer #9,988,091 Browse Full Index Next Integer #9,988,093 →