λ
Sigma Notebook

9,679,982

2 × 133 × 2203
Deficient Even Composite

9,679,982 is even and not a perfect square. Its factorization is 2 × 13^3 × 2203 and its 16 divisors sum to 15,736,560.

Prime Factor Structure

Factorization String 2 × 13^3 × 2203
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,736,560
Proper Divisor Sum 6,056,578
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #9679981 ← → #9680003

Radix Representation

Decimal 9679982
Binary 100100111011010001101110 (24 bits)
Octal 0o44732156
Hexadecimal 0x93B46E

Divisor Catalog (16)

1 2 13 26 169 338 2,197 2,203 4,394 4,406 28,639 57,278 372,307 744,614 4,839,991 9,679,982

Collatz Trajectory (207 steps to reach 1)

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

9,679,982 4,839,991 14,519,974 7,259,987 21,779,962 10,889,981 32,669,944 16,334,972 8,167,486 4,083,743 12,251,230 6,125,615 18,376,846 9,188,423 27,565,270 13,782,635 41,347,906 20,673,953 62,021,860 31,010,930 15,505,465 46,516,396 23,258,198 11,629,099 34,887,298 17,443,649 52,330,948 26,165,474 13,082,737 39,248,212 19,624,106 9,812,053 29,436,160 14,718,080 7,359,040 3,679,520 1,839,760 919,880 459,940 229,970 114,985 344,956 172,478 86,239 258,718 129,359 388,078 194,039 582,118 291,059 873,178 436,589 1,309,768 654,884 327,442 163,721 491,164 245,582 122,791 368,374

More profiles

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