λ
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Atlas › Integer Profiles › Node 31,141,960

31,141,960

23 × 5 × 17 × 41 × 1117
Abundant Even Composite

31,141,960 factors as 2^3 × 5 × 17 × 41 × 1117. Its 64 positive divisors give a proper-divisor sum of 44,926,760, so this integer is abundant. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 41 × 1117
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 76,068,720
Proper Divisor Sum 44,926,760
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #31141951 ← → #31141961

Radix Representation

Decimal 31141960
Binary 1110110110011000001001000 (25 bits)
Octal 0o166630110
Hexadecimal 0x1DB3048

Divisor Catalog (60 of 64)

1 2 4 5 8 10 17 20 34 40 41 68 82 85 136 164 170 205 328 340 410 680 697 820 1,117 1,394 1,640 2,234 2,788 3,485 4,468 5,576 5,585 6,970 8,936 11,170 13,940 18,989 22,340 27,880 37,978 44,680 45,797 75,956 91,594 94,945 151,912 183,188 189,890 228,985 366,376 379,780 457,970 759,560 778,549 915,940 1,557,098 1,831,880 3,114,196 3,892,745

Collatz Trajectory (188 steps to reach 1)

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

31,141,960 15,570,980 7,785,490 3,892,745 11,678,236 5,839,118 2,919,559 8,758,678 4,379,339 13,138,018 6,569,009 19,707,028 9,853,514 4,926,757 14,780,272 7,390,136 3,695,068 1,847,534 923,767 2,771,302 1,385,651 4,156,954 2,078,477 6,235,432 3,117,716 1,558,858 779,429 2,338,288 1,169,144 584,572 292,286 146,143 438,430 219,215 657,646 328,823 986,470 493,235 1,479,706 739,853 2,219,560 1,109,780 554,890 277,445 832,336 416,168 208,084 104,042 52,021 156,064 78,032 39,016 19,508 9,754 4,877 14,632 7,316 3,658 1,829 5,488

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