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57,134,648

23 × 41 × 373 × 467
Deficient Even Composite

57,134,648 factors as 2^3 × 41 × 373 × 467. Its 32 positive divisors give a proper-divisor sum of 53,135,512, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 41 × 373 × 467
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 110,270,160
Proper Divisor Sum 53,135,512
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #57134647 ← → #57134677

Radix Representation

Decimal 57134648
Binary 11011001111100111000111000 (26 bits)
Octal 0o331747070
Hexadecimal 0x367CE38

Divisor Catalog (32)

1 2 4 8 41 82 164 328 373 467 746 934 1,492 1,868 2,984 3,736 15,293 19,147 30,586 38,294 61,172 76,588 122,344 153,176 174,191 348,382 696,764 1,393,528 7,141,831 14,283,662 28,567,324 57,134,648

Collatz Trajectory (145 steps to reach 1)

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

57,134,648 28,567,324 14,283,662 7,141,831 21,425,494 10,712,747 32,138,242 16,069,121 48,207,364 24,103,682 12,051,841 36,155,524 18,077,762 9,038,881 27,116,644 13,558,322 6,779,161 20,337,484 10,168,742 5,084,371 15,253,114 7,626,557 22,879,672 11,439,836 5,719,918 2,859,959 8,579,878 4,289,939 12,869,818 6,434,909 19,304,728 9,652,364 4,826,182 2,413,091 7,239,274 3,619,637 10,858,912 5,429,456 2,714,728 1,357,364 678,682 339,341 1,018,024 509,012 254,506 127,253 381,760 190,880 95,440 47,720 23,860 11,930 5,965 17,896 8,948 4,474 2,237 6,712 3,356 1,678

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