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Atlas › Integer Profiles › Node 5,676,088

5,676,088

23 × 11 × 53 × 1217
Abundant Even Composite

5,676,088 factors as 2^3 × 11 × 53 × 1217. Its 32 positive divisors give a proper-divisor sum of 6,162,872, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 53 × 1217
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,838,960
Proper Divisor Sum 6,162,872
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #5676067 ← → #5676089

Radix Representation

Decimal 5676088
Binary 10101101001110000111000 (23 bits)
Octal 0o25516070
Hexadecimal 0x569C38

Divisor Catalog (32)

1 2 4 8 11 22 44 53 88 106 212 424 583 1,166 1,217 2,332 2,434 4,664 4,868 9,736 13,387 26,774 53,548 64,501 107,096 129,002 258,004 516,008 709,511 1,419,022 2,838,044 5,676,088

Collatz Trajectory (201 steps to reach 1)

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

5,676,088 2,838,044 1,419,022 709,511 2,128,534 1,064,267 3,192,802 1,596,401 4,789,204 2,394,602 1,197,301 3,591,904 1,795,952 897,976 448,988 224,494 112,247 336,742 168,371 505,114 252,557 757,672 378,836 189,418 94,709 284,128 142,064 71,032 35,516 17,758 8,879 26,638 13,319 39,958 19,979 59,938 29,969 89,908 44,954 22,477 67,432 33,716 16,858 8,429 25,288 12,644 6,322 3,161 9,484 4,742 2,371 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001

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