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Atlas › Integer Profiles › Node 56,537,586

56,537,586

2 × 32 × 7 × 563 × 797
Abundant Even Composite

56,537,586 factors as 2 × 3^2 × 7 × 563 × 797. Its 48 positive divisors give a proper-divisor sum of 83,884,878, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 563 × 797
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 140,422,464
Proper Divisor Sum 83,884,878
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #56537549 ← → #56537599

Radix Representation

Decimal 56537586
Binary 11010111101011000111110010 (26 bits)
Octal 0o327530762
Hexadecimal 0x35EB1F2

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 126 563 797 1,126 1,594 1,689 2,391 3,378 3,941 4,782 5,067 5,579 7,173 7,882 10,134 11,158 11,823 14,346 16,737 23,646 33,474 35,469 50,211 70,938 100,422 448,711 897,422 1,346,133 2,692,266 3,140,977 4,038,399 6,281,954 8,076,798 9,422,931 18,845,862 28,268,793 56,537,586

Collatz Trajectory (225 steps to reach 1)

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

56,537,586 28,268,793 84,806,380 42,403,190 21,201,595 63,604,786 31,802,393 95,407,180 47,703,590 23,851,795 71,555,386 35,777,693 107,333,080 53,666,540 26,833,270 13,416,635 40,249,906 20,124,953 60,374,860 30,187,430 15,093,715 45,281,146 22,640,573 67,921,720 33,960,860 16,980,430 8,490,215 25,470,646 12,735,323 38,205,970 19,102,985 57,308,956 28,654,478 14,327,239 42,981,718 21,490,859 64,472,578 32,236,289 96,708,868 48,354,434 24,177,217 72,531,652 36,265,826 18,132,913 54,398,740 27,199,370 13,599,685 40,799,056 20,399,528 10,199,764 5,099,882 2,549,941 7,649,824 3,824,912 1,912,456 956,228 478,114 239,057 717,172 358,586

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