λ
Ratio Atlas

9,719,281

11 × 13 × 67967
Deficient Odd Composite

9,719,281 factors as 11 × 13 × 67967. Its 8 positive divisors give a proper-divisor sum of 1,699,343, so this integer is deficient. The Collatz stopping time is 269 steps.

Prime Factor Structure

Factorization String 11 × 13 × 67967
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,418,624
Proper Divisor Sum 1,699,343
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9719267 ← → #9719309

Radix Representation

Decimal 9719281
Binary 100101000100110111110001 (24 bits)
Octal 0o45046761
Hexadecimal 0x944DF1

Divisor Catalog (8)

1 11 13 143 67,967 747,637 883,571 9,719,281

Collatz Trajectory (269 steps to reach 1)

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

9,719,281 29,157,844 14,578,922 7,289,461 21,868,384 10,934,192 5,467,096 2,733,548 1,366,774 683,387 2,050,162 1,025,081 3,075,244 1,537,622 768,811 2,306,434 1,153,217 3,459,652 1,729,826 864,913 2,594,740 1,297,370 648,685 1,946,056 973,028 486,514 243,257 729,772 364,886 182,443 547,330 273,665 820,996 410,498 205,249 615,748 307,874 153,937 461,812 230,906 115,453 346,360 173,180 86,590 43,295 129,886 64,943 194,830 97,415 292,246 146,123 438,370 219,185 657,556 328,778 164,389 493,168 246,584 123,292 61,646

More profiles

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