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Atlas › Integer Profiles › Node 5,776,792

5,776,792

23 × 7 × 43 × 2399
Abundant Even Composite

5,776,792 factors as 2^3 × 7 × 43 × 2399. Its 32 positive divisors give a proper-divisor sum of 6,895,208, so this integer is abundant. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 43 × 2399
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,672,000
Proper Divisor Sum 6,895,208
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5776783 ← → #5776811

Radix Representation

Decimal 5776792
Binary 10110000010010110011000 (23 bits)
Octal 0o26022630
Hexadecimal 0x582598

Divisor Catalog (32)

1 2 4 7 8 14 28 43 56 86 172 301 344 602 1,204 2,399 2,408 4,798 9,596 16,793 19,192 33,586 67,172 103,157 134,344 206,314 412,628 722,099 825,256 1,444,198 2,888,396 5,776,792

Collatz Trajectory (121 steps to reach 1)

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

5,776,792 2,888,396 1,444,198 722,099 2,166,298 1,083,149 3,249,448 1,624,724 812,362 406,181 1,218,544 609,272 304,636 152,318 76,159 228,478 114,239 342,718 171,359 514,078 257,039 771,118 385,559 1,156,678 578,339 1,735,018 867,509 2,602,528 1,301,264 650,632 325,316 162,658 81,329 243,988 121,994 60,997 182,992 91,496 45,748 22,874 11,437 34,312 17,156 8,578 4,289 12,868 6,434 3,217 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019

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