λ
Sigma Notebook

9,798,932

22 × 11 × 13 × 37 × 463
Abundant Even Composite

9,798,932 is even and not a perfect square. Its factorization is 2^2 × 11 × 13 × 37 × 463 and its 48 divisors sum to 20,735,232.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 37 × 463
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,735,232
Proper Divisor Sum 10,936,300
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #9798917 ← → #9798941

Radix Representation

Decimal 9798932
Binary 100101011000010100010100 (24 bits)
Octal 0o45302424
Hexadecimal 0x958514

Divisor Catalog (48)

1 2 4 11 13 22 26 37 44 52 74 143 148 286 407 463 481 572 814 926 962 1,628 1,852 1,924 5,093 5,291 6,019 10,186 10,582 12,038 17,131 20,372 21,164 24,076 34,262 66,209 68,524 132,418 188,441 222,703 264,836 376,882 445,406 753,764 890,812 2,449,733 4,899,466 9,798,932

Collatz Trajectory (176 steps to reach 1)

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

9,798,932 4,899,466 2,449,733 7,349,200 3,674,600 1,837,300 918,650 459,325 1,377,976 688,988 344,494 172,247 516,742 258,371 775,114 387,557 1,162,672 581,336 290,668 145,334 72,667 218,002 109,001 327,004 163,502 81,751 245,254 122,627 367,882 183,941 551,824 275,912 137,956 68,978 34,489 103,468 51,734 25,867 77,602 38,801 116,404 58,202 29,101 87,304 43,652 21,826 10,913 32,740 16,370 8,185 24,556 12,278 6,139 18,418 9,209 27,628 13,814 6,907 20,722 10,361

More profiles

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