λ
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Atlas › Integer Profiles › Node 31,244,920

31,244,920

23 × 5 × 7 × 151 × 739
Abundant Even Composite

31,244,920 factors as 2^3 × 5 × 7 × 151 × 739. Its 64 positive divisors give a proper-divisor sum of 49,740,680, so this integer is abundant. The Collatz stopping time is 250 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 151 × 739
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 80,985,600
Proper Divisor Sum 49,740,680
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #31244897 ← → #31244933

Radix Representation

Decimal 31244920
Binary 1110111001100001001111000 (25 bits)
Octal 0o167141170
Hexadecimal 0x1DCC278

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 151 280 302 604 739 755 1,057 1,208 1,478 1,510 2,114 2,956 3,020 3,695 4,228 5,173 5,285 5,912 6,040 7,390 8,456 10,346 10,570 14,780 20,692 21,140 25,865 29,560 41,384 42,280 51,730 103,460 111,589 206,920 223,178 446,356 557,945 781,123 892,712 1,115,890 1,562,246 2,231,780 3,124,492 3,905,615 4,463,560

Collatz Trajectory (250 steps to reach 1)

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

31,244,920 15,622,460 7,811,230 3,905,615 11,716,846 5,858,423 17,575,270 8,787,635 26,362,906 13,181,453 39,544,360 19,772,180 9,886,090 4,943,045 14,829,136 7,414,568 3,707,284 1,853,642 926,821 2,780,464 1,390,232 695,116 347,558 173,779 521,338 260,669 782,008 391,004 195,502 97,751 293,254 146,627 439,882 219,941 659,824 329,912 164,956 82,478 41,239 123,718 61,859 185,578 92,789 278,368 139,184 69,592 34,796 17,398 8,699 26,098 13,049 39,148 19,574 9,787 29,362 14,681 44,044 22,022 11,011 33,034

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