λ
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Atlas › Integer Profiles › Node 56,044,053

56,044,053

32 × 13 × 17 × 19 × 1483
Deficient Odd Composite

56,044,053 factors as 3^2 × 13 × 17 × 19 × 1483. Its 48 positive divisors give a proper-divisor sum of 41,187,627, so this integer is deficient. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 3^2 × 13 × 17 × 19 × 1483
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 97,231,680
Proper Divisor Sum 41,187,627
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #56044039 ← → #56044073

Radix Representation

Decimal 56044053
Binary 11010101110010101000010101 (26 bits)
Octal 0o325625025
Hexadecimal 0x3572A15

Divisor Catalog (48)

1 3 9 13 17 19 39 51 57 117 153 171 221 247 323 663 741 969 1,483 1,989 2,223 2,907 4,199 4,449 12,597 13,347 19,279 25,211 28,177 37,791 57,837 75,633 84,531 173,511 226,899 253,593 327,743 366,301 479,009 983,229 1,098,903 1,437,027 2,949,687 3,296,709 4,311,081 6,227,117 18,681,351 56,044,053

Collatz Trajectory (119 steps to reach 1)

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

56,044,053 168,132,160 84,066,080 42,033,040 21,016,520 10,508,260 5,254,130 2,627,065 7,881,196 3,940,598 1,970,299 5,910,898 2,955,449 8,866,348 4,433,174 2,216,587 6,649,762 3,324,881 9,974,644 4,987,322 2,493,661 7,480,984 3,740,492 1,870,246 935,123 2,805,370 1,402,685 4,208,056 2,104,028 1,052,014 526,007 1,578,022 789,011 2,367,034 1,183,517 3,550,552 1,775,276 887,638 443,819 1,331,458 665,729 1,997,188 998,594 499,297 1,497,892 748,946 374,473 1,123,420 561,710 280,855 842,566 421,283 1,263,850 631,925 1,895,776 947,888 473,944 236,972 118,486 59,243

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