λ
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Atlas › Integer Profiles › Node 56,044,072

56,044,072

23 × 7 × 19 × 52673
Abundant Even Composite

56,044,072 factors as 2^3 × 7 × 19 × 52673. Its 32 positive divisors give a proper-divisor sum of 70,373,528, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 19 × 52673
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 126,417,600
Proper Divisor Sum 70,373,528
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #56044039 ← → #56044073

Radix Representation

Decimal 56044072
Binary 11010101110010101000101000 (26 bits)
Octal 0o325625050
Hexadecimal 0x3572A28

Divisor Catalog (32)

1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1,064 52,673 105,346 210,692 368,711 421,384 737,422 1,000,787 1,474,844 2,001,574 2,949,688 4,003,148 7,005,509 8,006,296 14,011,018 28,022,036 56,044,072

Collatz Trajectory (119 steps to reach 1)

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

56,044,072 28,022,036 14,011,018 7,005,509 21,016,528 10,508,264 5,254,132 2,627,066 1,313,533 3,940,600 1,970,300 985,150 492,575 1,477,726 738,863 2,216,590 1,108,295 3,324,886 1,662,443 4,987,330 2,493,665 7,480,996 3,740,498 1,870,249 5,610,748 2,805,374 1,402,687 4,208,062 2,104,031 6,312,094 3,156,047 9,468,142 4,734,071 14,202,214 7,101,107 21,303,322 10,651,661 31,954,984 15,977,492 7,988,746 3,994,373 11,983,120 5,991,560 2,995,780 1,497,890 748,945 2,246,836 1,123,418 561,709 1,685,128 842,564 421,282 210,641 631,924 315,962 157,981 473,944 236,972 118,486 59,243

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