λ
Harmonic Matrix

2,785,745

5 × 41 × 107 × 127
Deficient Odd Composite

2,785,745 has digital root 2. The neighboring primes are 2785721 and 2785751; its proper-divisor sum differs from the starting integer by -2,087,842.

Prime Factor Structure

Factorization String 5 × 41 × 107 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,483,648
Proper Divisor Sum 697,903
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2785721 ← → #2785751

Radix Representation

Decimal 2785745
Binary 1010101000000111010001 (22 bits)
Octal 0o12500721
Hexadecimal 0x2A81D1

Divisor Catalog (16)

1 5 41 107 127 205 535 635 4,387 5,207 13,589 21,935 26,035 67,945 557,149 2,785,745

Collatz Trajectory (76 steps to reach 1)

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

2,785,745 8,357,236 4,178,618 2,089,309 6,267,928 3,133,964 1,566,982 783,491 2,350,474 1,175,237 3,525,712 1,762,856 881,428 440,714 220,357 661,072 330,536 165,268 82,634 41,317 123,952 61,976 30,988 15,494 7,747 23,242 11,621 34,864 17,432 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14

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