λ
Prime Ledger

1,739,525

52 × 17 × 4093
Deficient Odd Composite

1,739,525 has the prime decomposition 5^2 × 17 × 4093. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 17 × 4093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,284,452
Proper Divisor Sum 544,927
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1739483 ← → #1739533

Radix Representation

Decimal 1739525
Binary 110101000101100000101 (21 bits)
Octal 0o6505405
Hexadecimal 0x1A8B05

Divisor Catalog (12)

1 5 17 25 85 425 4,093 20,465 69,581 102,325 347,905 1,739,525

Collatz Trajectory (44 steps to reach 1)

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

1,739,525 5,218,576 2,609,288 1,304,644 652,322 326,161 978,484 489,242 244,621 733,864 366,932 183,466 91,733 275,200 137,600 68,800 34,400 17,200 8,600 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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