λ
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13,306,468

22 × 7 × 41 × 67 × 173
Abundant Even Composite

13,306,468 factors as 2^2 × 7 × 41 × 67 × 173. Its 48 positive divisors give a proper-divisor sum of 14,522,396, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 41 × 67 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,828,864
Proper Divisor Sum 14,522,396
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #13306459 ← → #13306481

Radix Representation

Decimal 13306468
Binary 110010110000101001100100 (24 bits)
Octal 0o62605144
Hexadecimal 0xCB0A64

Divisor Catalog (48)

1 2 4 7 14 28 41 67 82 134 164 173 268 287 346 469 574 692 938 1,148 1,211 1,876 2,422 2,747 4,844 5,494 7,093 10,988 11,591 14,186 19,229 23,182 28,372 38,458 46,364 49,651 76,916 81,137 99,302 162,274 198,604 324,548 475,231 950,462 1,900,924 3,326,617 6,653,234 13,306,468

Collatz Trajectory (179 steps to reach 1)

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

13,306,468 6,653,234 3,326,617 9,979,852 4,989,926 2,494,963 7,484,890 3,742,445 11,227,336 5,613,668 2,806,834 1,403,417 4,210,252 2,105,126 1,052,563 3,157,690 1,578,845 4,736,536 2,368,268 1,184,134 592,067 1,776,202 888,101 2,664,304 1,332,152 666,076 333,038 166,519 499,558 249,779 749,338 374,669 1,124,008 562,004 281,002 140,501 421,504 210,752 105,376 52,688 26,344 13,172 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696 2,348

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