405,740

2² × 5 × 20287

405,740 factors as 2^2 × 5 × 20287. Its 12 positive divisors give a proper-divisor sum of 446,356, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 20287

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 852,096

Proper Divisor Sum 446,356

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #405731 ← → #405749

Radix Representation

Decimal	405740
Binary	1100011000011101100 (19 bits)
Octal	0o1430354
Hexadecimal	0x630EC

Divisor Catalog (12)

1 2 4 5 10 20 20,287 40,574 81,148 101,435 202,870 405,740

Collatz Trajectory (112 steps to reach 1)

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

405,740 202,870 101,435 304,306 152,153 456,460 228,230 114,115 342,346 171,173 513,520 256,760 128,380 64,190 32,095 96,286 48,143 144,430 72,215 216,646 108,323 324,970 162,485 487,456 243,728 121,864 60,932 30,466 15,233 45,700 22,850 11,425 34,276 17,138 8,569 25,708 12,854 6,427 19,282 9,641 28,924 14,462 7,231 21,694 10,847 32,542 16,271 48,814 24,407 73,222 36,611 109,834 54,917 164,752 82,376 41,188 20,594 10,297 30,892 15,446

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #405,739 Browse Full Index Next Integer #405,741 →