λ
Harmonic Matrix

550,405

5 × 31 × 53 × 67
Deficient Odd Composite

550,405 has digital root 1. The neighboring primes are 550379 and 550427; its proper-divisor sum differs from the starting integer by -395,786.

Prime Factor Structure

Factorization String 5 × 31 × 53 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 705,024
Proper Divisor Sum 154,619
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #550379 ← → #550427

Radix Representation

Decimal 550405
Binary 10000110011000000101 (20 bits)
Octal 0o2063005
Hexadecimal 0x86605

Divisor Catalog (16)

1 5 31 53 67 155 265 335 1,643 2,077 3,551 8,215 10,385 17,755 110,081 550,405

Collatz Trajectory (208 steps to reach 1)

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

550,405 1,651,216 825,608 412,804 206,402 103,201 309,604 154,802 77,401 232,204 116,102 58,051 174,154 87,077 261,232 130,616 65,308 32,654 16,327 48,982 24,491 73,474 36,737 110,212 55,106 27,553 82,660 41,330 20,665 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493

More profiles

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