λ
Harmonic Matrix

1,804,525

52 × 19 × 29 × 131
Deficient Odd Composite

1,804,525 has digital root 7. The neighboring primes are 1804513 and 1804529; its proper-divisor sum differs from the starting integer by -1,153,850.

Prime Factor Structure

Factorization String 5^2 × 19 × 29 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,455,200
Proper Divisor Sum 650,675
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1804513 ← → #1804529

Radix Representation

Decimal 1804525
Binary 110111000100011101101 (21 bits)
Octal 0o6704355
Hexadecimal 0x1B88ED

Divisor Catalog (24)

1 5 19 25 29 95 131 145 475 551 655 725 2,489 2,755 3,275 3,799 12,445 13,775 18,995 62,225 72,181 94,975 360,905 1,804,525

Collatz Trajectory (158 steps to reach 1)

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

1,804,525 5,413,576 2,706,788 1,353,394 676,697 2,030,092 1,015,046 507,523 1,522,570 761,285 2,283,856 1,141,928 570,964 285,482 142,741 428,224 214,112 107,056 53,528 26,764 13,382 6,691 20,074 10,037 30,112 15,056 7,528 3,764 1,882 941 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323

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