λ
Harmonic Matrix

1,775,745

32 × 5 × 39461
Deficient Odd Composite

1,775,745 has digital root 9. The neighboring primes are 1775743 and 1775747; its proper-divisor sum differs from the starting integer by -473,454.

Prime Factor Structure

Factorization String 3^2 × 5 × 39461
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 3,078,036
Proper Divisor Sum 1,302,291
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1775743 ← → #1775747

Radix Representation

Decimal 1775745
Binary 110110001100010000001 (21 bits)
Octal 0o6614201
Hexadecimal 0x1B1881

Divisor Catalog (12)

1 3 5 9 15 45 39,461 118,383 197,305 355,149 591,915 1,775,745

Collatz Trajectory (83 steps to reach 1)

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

1,775,745 5,327,236 2,663,618 1,331,809 3,995,428 1,997,714 998,857 2,996,572 1,498,286 749,143 2,247,430 1,123,715 3,371,146 1,685,573 5,056,720 2,528,360 1,264,180 632,090 316,045 948,136 474,068 237,034 118,517 355,552 177,776 88,888 44,444 22,222 11,111 33,334 16,667 50,002 25,001 75,004 37,502 18,751 56,254 28,127 84,382 42,191 126,574 63,287 189,862 94,931 284,794 142,397 427,192 213,596 106,798 53,399 160,198 80,099 240,298 120,149 360,448 180,224 90,112 45,056 22,528 11,264

More profiles

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