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Atlas › Integer Profiles › Node 2,434,440

2,434,440

23 × 3 × 5 × 20287
Abundant Even Composite

2,434,440 factors as 2^3 × 3 × 5 × 20287. Its 32 positive divisors give a proper-divisor sum of 4,869,240, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 20287
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,303,680
Proper Divisor Sum 4,869,240
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2434433 ← → #2434441

Radix Representation

Decimal 2434440
Binary 1001010010010110001000 (22 bits)
Octal 0o11222610
Hexadecimal 0x252588

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 20,287 40,574 60,861 81,148 101,435 121,722 162,296 202,870 243,444 304,305 405,740 486,888 608,610 811,480 1,217,220 2,434,440

Collatz Trajectory (112 steps to reach 1)

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

2,434,440 1,217,220 608,610 304,305 912,916 456,458 228,229 684,688 342,344 171,172 85,586 42,793 128,380 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

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