λ
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Atlas › Integer Profiles › Node 57,166,256

57,166,256

24 × 7 × 127 × 4019
Abundant Even Composite

57,166,256 factors as 2^4 × 7 × 127 × 4019. Its 40 positive divisors give a proper-divisor sum of 70,444,624, so this integer is abundant. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 127 × 4019
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 127,610,880
Proper Divisor Sum 70,444,624
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57166229 ← → #57166261

Radix Representation

Decimal 57166256
Binary 11011010000100100110110000 (26 bits)
Octal 0o332044660
Hexadecimal 0x36849B0

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 127 254 508 889 1,016 1,778 2,032 3,556 4,019 7,112 8,038 14,224 16,076 28,133 32,152 56,266 64,304 112,532 225,064 450,128 510,413 1,020,826 2,041,652 3,572,891 4,083,304 7,145,782 8,166,608 14,291,564 28,583,128 57,166,256

Collatz Trajectory (194 steps to reach 1)

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

57,166,256 28,583,128 14,291,564 7,145,782 3,572,891 10,718,674 5,359,337 16,078,012 8,039,006 4,019,503 12,058,510 6,029,255 18,087,766 9,043,883 27,131,650 13,565,825 40,697,476 20,348,738 10,174,369 30,523,108 15,261,554 7,630,777 22,892,332 11,446,166 5,723,083 17,169,250 8,584,625 25,753,876 12,876,938 6,438,469 19,315,408 9,657,704 4,828,852 2,414,426 1,207,213 3,621,640 1,810,820 905,410 452,705 1,358,116 679,058 339,529 1,018,588 509,294 254,647 763,942 381,971 1,145,914 572,957 1,718,872 859,436 429,718 214,859 644,578 322,289 966,868 483,434 241,717 725,152 362,576

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