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Atlas › Integer Profiles › Node 56,063,744

56,063,744

28 × 11 × 43 × 463
Abundant Even Composite

56,063,744 factors as 2^8 × 11 × 43 × 463. Its 72 positive divisors give a proper-divisor sum of 69,127,168, so this integer is abundant. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^8 × 11 × 43 × 463
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 125,190,912
Proper Divisor Sum 69,127,168
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #56063743 ← → #56063753

Radix Representation

Decimal 56063744
Binary 11010101110111011100000000 (26 bits)
Octal 0o325673400
Hexadecimal 0x3577700

Divisor Catalog (60 of 72)

1 2 4 8 11 16 22 32 43 44 64 86 88 128 172 176 256 344 352 463 473 688 704 926 946 1,376 1,408 1,852 1,892 2,752 2,816 3,704 3,784 5,093 5,504 7,408 7,568 10,186 11,008 14,816 15,136 19,909 20,372 29,632 30,272 39,818 40,744 59,264 60,544 79,636 81,488 118,528 121,088 159,272 162,976 218,999 318,544 325,952 437,998 637,088

Collatz Trajectory (75 steps to reach 1)

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

56,063,744 28,031,872 14,015,936 7,007,968 3,503,984 1,751,992 875,996 437,998 218,999 656,998 328,499 985,498 492,749 1,478,248 739,124 369,562 184,781 554,344 277,172 138,586 69,293 207,880 103,940 51,970 25,985 77,956 38,978 19,489 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46

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