λ
Sigma Notebook

9,830,015

5 × 13 × 43 × 3517
Deficient Odd Composite

9,830,015 is odd and not a perfect square. Its factorization is 5 × 13 × 43 × 3517 and its 16 divisors sum to 13,002,528.

Prime Factor Structure

Factorization String 5 × 13 × 43 × 3517
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 13,002,528
Proper Divisor Sum 3,172,513
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #9829999 ← → #9830017

Radix Representation

Decimal 9830015
Binary 100101011111111001111111 (24 bits)
Octal 0o45377177
Hexadecimal 0x95FE7F

Divisor Catalog (16)

1 5 13 43 65 215 559 2,795 3,517 17,585 45,721 151,231 228,605 756,155 1,966,003 9,830,015

Collatz Trajectory (168 steps to reach 1)

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

9,830,015 29,490,046 14,745,023 44,235,070 22,117,535 66,352,606 33,176,303 99,528,910 49,764,455 149,293,366 74,646,683 223,940,050 111,970,025 335,910,076 167,955,038 83,977,519 251,932,558 125,966,279 377,898,838 188,949,419 566,848,258 283,424,129 850,272,388 425,136,194 212,568,097 637,704,292 318,852,146 159,426,073 478,278,220 239,139,110 119,569,555 358,708,666 179,354,333 538,063,000 269,031,500 134,515,750 67,257,875 201,773,626 100,886,813 302,660,440 151,330,220 75,665,110 37,832,555 113,497,666 56,748,833 170,246,500 85,123,250 42,561,625 127,684,876 63,842,438 31,921,219 95,763,658 47,881,829 143,645,488 71,822,744 35,911,372 17,955,686 8,977,843 26,933,530 13,466,765

More profiles

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