409,785

3 × 5 × 17 × 1607

409,785 factors as 3 × 5 × 17 × 1607. Its 16 positive divisors give a proper-divisor sum of 284,871, so this integer is deficient. The Collatz stopping time is 205 steps.

Prime Factor Structure

Factorization String 3 × 5 × 17 × 1607

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 694,656

Proper Divisor Sum 284,871

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #409781 ← → #409813

Radix Representation

Decimal	409785
Binary	1100100000010111001 (19 bits)
Octal	0o1440271
Hexadecimal	0x640B9

Divisor Catalog (16)

1 3 5 15 17 51 85 255 1,607 4,821 8,035 24,105 27,319 81,957 136,595 409,785

Collatz Trajectory (205 steps to reach 1)

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

409,785 1,229,356 614,678 307,339 922,018 461,009 1,383,028 691,514 345,757 1,037,272 518,636 259,318 129,659 388,978 194,489 583,468 291,734 145,867 437,602 218,801 656,404 328,202 164,101 492,304 246,152 123,076 61,538 30,769 92,308 46,154 23,077 69,232 34,616 17,308 8,654 4,327 12,982 6,491 19,474 9,737 29,212 14,606 7,303 21,910 10,955 32,866 16,433 49,300 24,650 12,325 36,976 18,488 9,244 4,622 2,311 6,934 3,467 10,402 5,201 15,604

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #409,784 Browse Full Index Next Integer #409,786 →