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Atlas › Integer Profiles › Node 57,358,912

57,358,912

26 × 13 × 71 × 971
Abundant Even Composite

57,358,912 factors as 2^6 × 13 × 71 × 971. Its 56 positive divisors give a proper-divisor sum of 67,072,640, so this integer is abundant. The Collatz stopping time is 238 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 71 × 971
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 124,431,552
Proper Divisor Sum 67,072,640
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #57358883 ← → #57358933

Radix Representation

Decimal 57358912
Binary 11011010110011101001000000 (26 bits)
Octal 0o332635100
Hexadecimal 0x36B3A40

Divisor Catalog (56)

1 2 4 8 13 16 26 32 52 64 71 104 142 208 284 416 568 832 923 971 1,136 1,846 1,942 2,272 3,692 3,884 4,544 7,384 7,768 12,623 14,768 15,536 25,246 29,536 31,072 50,492 59,072 62,144 68,941 100,984 137,882 201,968 275,764 403,936 551,528 807,872 896,233 1,103,056 1,792,466 2,206,112 3,584,932 4,412,224 7,169,864 14,339,728 28,679,456 57,358,912

Collatz Trajectory (238 steps to reach 1)

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

57,358,912 28,679,456 14,339,728 7,169,864 3,584,932 1,792,466 896,233 2,688,700 1,344,350 672,175 2,016,526 1,008,263 3,024,790 1,512,395 4,537,186 2,268,593 6,805,780 3,402,890 1,701,445 5,104,336 2,552,168 1,276,084 638,042 319,021 957,064 478,532 239,266 119,633 358,900 179,450 89,725 269,176 134,588 67,294 33,647 100,942 50,471 151,414 75,707 227,122 113,561 340,684 170,342 85,171 255,514 127,757 383,272 191,636 95,818 47,909 143,728 71,864 35,932 17,966 8,983 26,950 13,475 40,426 20,213 60,640

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