λ
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2,546,005

5 × 7 × 11 × 17 × 389
Deficient Odd Composite

2,546,005 factors as 5 × 7 × 11 × 17 × 389. Its 32 positive divisors give a proper-divisor sum of 1,497,515, so this integer is deficient. The Collatz stopping time is 81 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 17 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,043,520
Proper Divisor Sum 1,497,515
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2545993 ← → #2546009

Radix Representation

Decimal 2546005
Binary 1001101101100101010101 (22 bits)
Octal 0o11554525
Hexadecimal 0x26D955

Divisor Catalog (32)

1 5 7 11 17 35 55 77 85 119 187 385 389 595 935 1,309 1,945 2,723 4,279 6,545 6,613 13,615 21,395 29,953 33,065 46,291 72,743 149,765 231,455 363,715 509,201 2,546,005

Collatz Trajectory (81 steps to reach 1)

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

2,546,005 7,638,016 3,819,008 1,909,504 954,752 477,376 238,688 119,344 59,672 29,836 14,918 7,459 22,378 11,189 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76

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