λ
Integer Codex

9,824,737

13 × 31 × 24379
Deficient Odd Composite

For 9,824,737, the 8 positive divisors have a total of 10,922,240. Removing 9,824,737 leaves 1,097,503, which gives the deficient classification.

Prime Factor Structure

Factorization String 13 × 31 × 24379
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,922,240
Proper Divisor Sum 1,097,503
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #9824723 ← → #9824741

Radix Representation

Decimal 9824737
Binary 100101011110100111100001 (24 bits)
Octal 0o45364741
Hexadecimal 0x95E9E1

Divisor Catalog (8)

1 13 31 403 24,379 316,927 755,749 9,824,737

Collatz Trajectory (145 steps to reach 1)

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

9,824,737 29,474,212 14,737,106 7,368,553 22,105,660 11,052,830 5,526,415 16,579,246 8,289,623 24,868,870 12,434,435 37,303,306 18,651,653 55,954,960 27,977,480 13,988,740 6,994,370 3,497,185 10,491,556 5,245,778 2,622,889 7,868,668 3,934,334 1,967,167 5,901,502 2,950,751 8,852,254 4,426,127 13,278,382 6,639,191 19,917,574 9,958,787 29,876,362 14,938,181 44,814,544 22,407,272 11,203,636 5,601,818 2,800,909 8,402,728 4,201,364 2,100,682 1,050,341 3,151,024 1,575,512 787,756 393,878 196,939 590,818 295,409 886,228 443,114 221,557 664,672 332,336 166,168 83,084 41,542 20,771 62,314

More profiles

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