λ
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Atlas › Integer Profiles › Node 56,069,332

56,069,332

22 × 11 × 17 × 74959
Abundant Even Composite

56,069,332 factors as 2^2 × 11 × 17 × 74959. Its 24 positive divisors give a proper-divisor sum of 57,270,188, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 74959
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 113,339,520
Proper Divisor Sum 57,270,188
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #56069327 ← → #56069333

Radix Representation

Decimal 56069332
Binary 11010101111000110011010100 (26 bits)
Octal 0o325706324
Hexadecimal 0x3578CD4

Divisor Catalog (24)

1 2 4 11 17 22 34 44 68 187 374 748 74,959 149,918 299,836 824,549 1,274,303 1,649,098 2,548,606 3,298,196 5,097,212 14,017,333 28,034,666 56,069,332

Collatz Trajectory (225 steps to reach 1)

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

56,069,332 28,034,666 14,017,333 42,052,000 21,026,000 10,513,000 5,256,500 2,628,250 1,314,125 3,942,376 1,971,188 985,594 492,797 1,478,392 739,196 369,598 184,799 554,398 277,199 831,598 415,799 1,247,398 623,699 1,871,098 935,549 2,806,648 1,403,324 701,662 350,831 1,052,494 526,247 1,578,742 789,371 2,368,114 1,184,057 3,552,172 1,776,086 888,043 2,664,130 1,332,065 3,996,196 1,998,098 999,049 2,997,148 1,498,574 749,287 2,247,862 1,123,931 3,371,794 1,685,897 5,057,692 2,528,846 1,264,423 3,793,270 1,896,635 5,689,906 2,844,953 8,534,860 4,267,430 2,133,715

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