λ
Prime Ledger

2,807,505

32 × 5 × 89 × 701
Deficient Odd Composite

2,807,505 has the prime decomposition 3^2 × 5 × 89 × 701. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 89 × 701
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,928,040
Proper Divisor Sum 2,120,535
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2807479 ← → #2807521

Radix Representation

Decimal 2807505
Binary 1010101101011011010001 (22 bits)
Octal 0o12553321
Hexadecimal 0x2AD6D1

Divisor Catalog (24)

1 3 5 9 15 45 89 267 445 701 801 1,335 2,103 3,505 4,005 6,309 10,515 31,545 62,389 187,167 311,945 561,501 935,835 2,807,505

Collatz Trajectory (200 steps to reach 1)

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

2,807,505 8,422,516 4,211,258 2,105,629 6,316,888 3,158,444 1,579,222 789,611 2,368,834 1,184,417 3,553,252 1,776,626 888,313 2,664,940 1,332,470 666,235 1,998,706 999,353 2,998,060 1,499,030 749,515 2,248,546 1,124,273 3,372,820 1,686,410 843,205 2,529,616 1,264,808 632,404 316,202 158,101 474,304 237,152 118,576 59,288 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818

More profiles

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