λ
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31,270,656

28 × 3 × 19 × 2143
Abundant Even Composite

31,270,656 factors as 2^8 × 3 × 19 × 2143. Its 72 positive divisors give a proper-divisor sum of 56,376,064, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^8 × 3 × 19 × 2143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 87,646,720
Proper Divisor Sum 56,376,064
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #31270627 ← → #31270663

Radix Representation

Decimal 31270656
Binary 1110111010010011100000000 (25 bits)
Octal 0o167223400
Hexadecimal 0x1DD2700

Divisor Catalog (60 of 72)

1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 256 304 384 456 608 768 912 1,216 1,824 2,143 2,432 3,648 4,286 4,864 6,429 7,296 8,572 12,858 14,592 17,144 25,716 34,288 40,717 51,432 68,576 81,434 102,864 122,151 137,152 162,868 205,728 244,302 274,304 325,736 411,456 488,604 548,608 651,472

Collatz Trajectory (144 steps to reach 1)

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

31,270,656 15,635,328 7,817,664 3,908,832 1,954,416 977,208 488,604 244,302 122,151 366,454 183,227 549,682 274,841 824,524 412,262 206,131 618,394 309,197 927,592 463,796 231,898 115,949 347,848 173,924 86,962 43,481 130,444 65,222 32,611 97,834 48,917 146,752 73,376 36,688 18,344 9,172 4,586 2,293 6,880 3,440 1,720 860 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155

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