λ
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466,310

2 × 5 × 13 × 17 × 211
Abundant Even Composite

466,310 factors as 2 × 5 × 13 × 17 × 211. Its 32 positive divisors give a proper-divisor sum of 495,322, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 17 × 211
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 961,632
Proper Divisor Sum 495,322
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #466303 ← → #466321

Radix Representation

Decimal 466310
Binary 1110001110110000110 (19 bits)
Octal 0o1616606
Hexadecimal 0x71D86

Divisor Catalog (32)

1 2 5 10 13 17 26 34 65 85 130 170 211 221 422 442 1,055 1,105 2,110 2,210 2,743 3,587 5,486 7,174 13,715 17,935 27,430 35,870 46,631 93,262 233,155 466,310

Collatz Trajectory (107 steps to reach 1)

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

466,310 233,155 699,466 349,733 1,049,200 524,600 262,300 131,150 65,575 196,726 98,363 295,090 147,545 442,636 221,318 110,659 331,978 165,989 497,968 248,984 124,492 62,246 31,123 93,370 46,685 140,056 70,028 35,014 17,507 52,522 26,261 78,784 39,392 19,696 9,848 4,924 2,462 1,231 3,694 1,847 5,542 2,771 8,314 4,157 12,472 6,236 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494

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