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Atlas › Integer Profiles › Node 57,767,340

57,767,340

22 × 3 × 5 × 962789
Abundant Even Composite

57,767,340 factors as 2^2 × 3 × 5 × 962789. Its 24 positive divisors give a proper-divisor sum of 103,981,380, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 962789
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 161,748,720
Proper Divisor Sum 103,981,380
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #57767327 ← → #57767341

Radix Representation

Decimal 57767340
Binary 11011100010111010110101100 (26 bits)
Octal 0o334272654
Hexadecimal 0x37175AC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 962,789 1,925,578 2,888,367 3,851,156 4,813,945 5,776,734 9,627,890 11,553,468 14,441,835 19,255,780 28,883,670 57,767,340

Collatz Trajectory (194 steps to reach 1)

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

57,767,340 28,883,670 14,441,835 43,325,506 21,662,753 64,988,260 32,494,130 16,247,065 48,741,196 24,370,598 12,185,299 36,555,898 18,277,949 54,833,848 27,416,924 13,708,462 6,854,231 20,562,694 10,281,347 30,844,042 15,422,021 46,266,064 23,133,032 11,566,516 5,783,258 2,891,629 8,674,888 4,337,444 2,168,722 1,084,361 3,253,084 1,626,542 813,271 2,439,814 1,219,907 3,659,722 1,829,861 5,489,584 2,744,792 1,372,396 686,198 343,099 1,029,298 514,649 1,543,948 771,974 385,987 1,157,962 578,981 1,736,944 868,472 434,236 217,118 108,559 325,678 162,839 488,518 244,259 732,778 366,389

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