13,005,237

3 × 7² × 88471

Prime Factor Structure

Factorization String 3 × 7^2 × 88471

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 20,171,616

Proper Divisor Sum 7,166,379

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #13005233 ← → #13005259

Radix Representation

Decimal	13005237
Binary	110001100111000110110101 (24 bits)
Octal	0o61470665
Hexadecimal	0xC671B5

Divisor Catalog (12)

1 3 7 21 49 147 88,471 265,413 619,297 1,857,891 4,335,079 13,005,237

Collatz Trajectory (179 steps to reach 1)

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

13,005,237 39,015,712 19,507,856 9,753,928 4,876,964 2,438,482 1,219,241 3,657,724 1,828,862 914,431 2,743,294 1,371,647 4,114,942 2,057,471 6,172,414 3,086,207 9,258,622 4,629,311 13,887,934 6,943,967 20,831,902 10,415,951 31,247,854 15,623,927 46,871,782 23,435,891 70,307,674 35,153,837 105,461,512 52,730,756 26,365,378 13,182,689 39,548,068 19,774,034 9,887,017 29,661,052 14,830,526 7,415,263 22,245,790 11,122,895 33,368,686 16,684,343 50,053,030 25,026,515 75,079,546 37,539,773 112,619,320 56,309,660 28,154,830 14,077,415 42,232,246 21,116,123 63,348,370 31,674,185 95,022,556 47,511,278 23,755,639 71,266,918 35,633,459 106,900,378

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