λ
Harmonic Matrix

5,735,385

32 × 5 × 127453
Deficient Odd Composite

5,735,385 has digital root 9. The neighboring primes are 5735369 and 5735393; its proper-divisor sum differs from the starting integer by -1,529,358.

Prime Factor Structure

Factorization String 3^2 × 5 × 127453
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,941,412
Proper Divisor Sum 4,206,027
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5735369 ← → #5735393

Radix Representation

Decimal 5735385
Binary 10101111000001111011001 (23 bits)
Octal 0o25701731
Hexadecimal 0x5783D9

Divisor Catalog (12)

1 3 5 9 15 45 127,453 382,359 637,265 1,147,077 1,911,795 5,735,385

Collatz Trajectory (170 steps to reach 1)

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

5,735,385 17,206,156 8,603,078 4,301,539 12,904,618 6,452,309 19,356,928 9,678,464 4,839,232 2,419,616 1,209,808 604,904 302,452 151,226 75,613 226,840 113,420 56,710 28,355 85,066 42,533 127,600 63,800 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518 4,259 12,778 6,389 19,168 9,584 4,792 2,396 1,198 599 1,798 899 2,698 1,349 4,048 2,024 1,012

More profiles

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