λ
Harmonic Matrix

9,981,940

22 × 5 × 337 × 1481
Abundant Even Composite

9,981,940 has digital root 4. The neighboring primes are 9981929 and 9981943; its proper-divisor sum differs from the starting integer by 1,074,592.

Prime Factor Structure

Factorization String 2^2 × 5 × 337 × 1481
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 21,038,472
Proper Divisor Sum 11,056,532
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9981929 ← → #9981943

Radix Representation

Decimal 9981940
Binary 100110000100111111110100 (24 bits)
Octal 0o46047764
Hexadecimal 0x984FF4

Divisor Catalog (24)

1 2 4 5 10 20 337 674 1,348 1,481 1,685 2,962 3,370 5,924 6,740 7,405 14,810 29,620 499,097 998,194 1,996,388 2,495,485 4,990,970 9,981,940

Collatz Trajectory (238 steps to reach 1)

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

9,981,940 4,990,970 2,495,485 7,486,456 3,743,228 1,871,614 935,807 2,807,422 1,403,711 4,211,134 2,105,567 6,316,702 3,158,351 9,475,054 4,737,527 14,212,582 7,106,291 21,318,874 10,659,437 31,978,312 15,989,156 7,994,578 3,997,289 11,991,868 5,995,934 2,997,967 8,993,902 4,496,951 13,490,854 6,745,427 20,236,282 10,118,141 30,354,424 15,177,212 7,588,606 3,794,303 11,382,910 5,691,455 17,074,366 8,537,183 25,611,550 12,805,775 38,417,326 19,208,663 57,625,990 28,812,995 86,438,986 43,219,493 129,658,480 64,829,240 32,414,620 16,207,310 8,103,655 24,310,966 12,155,483 36,466,450 18,233,225 54,699,676 27,349,838 13,674,919

More profiles

← Previous Integer #9,981,939 Browse Full Index Next Integer #9,981,941 →