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Atlas › Integer Profiles › Node 5,776,896

5,776,896

29 × 3 × 3761
Abundant Even Composite

5,776,896 factors as 2^9 × 3 × 3761. Its 40 positive divisors give a proper-divisor sum of 9,617,208, so this integer is abundant. The Collatz stopping time is 51 steps.

Prime Factor Structure

Factorization String 2^9 × 3 × 3761
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,394,104
Proper Divisor Sum 9,617,208
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #5776877 ← → #5776909

Radix Representation

Decimal 5776896
Binary 10110000010011000000000 (23 bits)
Octal 0o26023000
Hexadecimal 0x582600

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1,536 3,761 7,522 11,283 15,044 22,566 30,088 45,132 60,176 90,264 120,352 180,528 240,704 361,056 481,408 722,112 962,816 1,444,224 1,925,632 2,888,448 5,776,896

Collatz Trajectory (51 steps to reach 1)

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

5,776,896 2,888,448 1,444,224 722,112 361,056 180,528 90,264 45,132 22,566 11,283 33,850 16,925 50,776 25,388 12,694 6,347 19,042 9,521 28,564 14,282 7,141 21,424 10,712 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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