λ
Math Directory

9,761,257

11 × 887387
Deficient Odd Composite

9,761,257 factors as 11 × 887387. Its 4 positive divisors give a proper-divisor sum of 887,399, so this integer is deficient. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 11 × 887387
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,648,656
Proper Divisor Sum 887,399
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9761243 ← → #9761261

Radix Representation

Decimal 9761257
Binary 100101001111000111101001 (24 bits)
Octal 0o45170751
Hexadecimal 0x94F1E9

Divisor Catalog (4)

1 11 887,387 9,761,257

Collatz Trajectory (238 steps to reach 1)

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

9,761,257 29,283,772 14,641,886 7,320,943 21,962,830 10,981,415 32,944,246 16,472,123 49,416,370 24,708,185 74,124,556 37,062,278 18,531,139 55,593,418 27,796,709 83,390,128 41,695,064 20,847,532 10,423,766 5,211,883 15,635,650 7,817,825 23,453,476 11,726,738 5,863,369 17,590,108 8,795,054 4,397,527 13,192,582 6,596,291 19,788,874 9,894,437 29,683,312 14,841,656 7,420,828 3,710,414 1,855,207 5,565,622 2,782,811 8,348,434 4,174,217 12,522,652 6,261,326 3,130,663 9,391,990 4,695,995 14,087,986 7,043,993 21,131,980 10,565,990 5,282,995 15,848,986 7,924,493 23,773,480 11,886,740 5,943,370 2,971,685 8,915,056 4,457,528 2,228,764

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