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57,719,896

23 × 13 × 17 × 32647
Abundant Even Composite

57,719,896 factors as 2^3 × 13 × 17 × 32647. Its 32 positive divisors give a proper-divisor sum of 65,689,544, so this integer is abundant. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 17 × 32647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 123,409,440
Proper Divisor Sum 65,689,544
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #57719873 ← → #57719911

Radix Representation

Decimal 57719896
Binary 11011100001011110001011000 (26 bits)
Octal 0o334136130
Hexadecimal 0x370BC58

Divisor Catalog (32)

1 2 4 8 13 17 26 34 52 68 104 136 221 442 884 1,768 32,647 65,294 130,588 261,176 424,411 554,999 848,822 1,109,998 1,697,644 2,219,996 3,395,288 4,439,992 7,214,987 14,429,974 28,859,948 57,719,896

Collatz Trajectory (145 steps to reach 1)

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

57,719,896 28,859,948 14,429,974 7,214,987 21,644,962 10,822,481 32,467,444 16,233,722 8,116,861 24,350,584 12,175,292 6,087,646 3,043,823 9,131,470 4,565,735 13,697,206 6,848,603 20,545,810 10,272,905 30,818,716 15,409,358 7,704,679 23,114,038 11,557,019 34,671,058 17,335,529 52,006,588 26,003,294 13,001,647 39,004,942 19,502,471 58,507,414 29,253,707 87,761,122 43,880,561 131,641,684 65,820,842 32,910,421 98,731,264 49,365,632 24,682,816 12,341,408 6,170,704 3,085,352 1,542,676 771,338 385,669 1,157,008 578,504 289,252 144,626 72,313 216,940 108,470 54,235 162,706 81,353 244,060 122,030 61,015

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