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Atlas › Integer Profiles › Node 5,884,580

5,884,580

22 × 5 × 132 × 1741
Abundant Even Composite

5,884,580 factors as 2^2 × 5 × 13^2 × 1741. Its 36 positive divisors give a proper-divisor sum of 7,504,432, so this integer is abundant. The Collatz stopping time is 152 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13^2 × 1741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,389,012
Proper Divisor Sum 7,504,432
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #5884577 ← → #5884589

Radix Representation

Decimal 5884580
Binary 10110011100101010100100 (23 bits)
Octal 0o26345244
Hexadecimal 0x59CAA4

Divisor Catalog (36)

1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1,690 1,741 3,380 3,482 6,964 8,705 17,410 22,633 34,820 45,266 90,532 113,165 226,330 294,229 452,660 588,458 1,176,916 1,471,145 2,942,290 5,884,580

Collatz Trajectory (152 steps to reach 1)

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

5,884,580 2,942,290 1,471,145 4,413,436 2,206,718 1,103,359 3,310,078 1,655,039 4,965,118 2,482,559 7,447,678 3,723,839 11,171,518 5,585,759 16,757,278 8,378,639 25,135,918 12,567,959 37,703,878 18,851,939 56,555,818 28,277,909 84,833,728 42,416,864 21,208,432 10,604,216 5,302,108 2,651,054 1,325,527 3,976,582 1,988,291 5,964,874 2,982,437 8,947,312 4,473,656 2,236,828 1,118,414 559,207 1,677,622 838,811 2,516,434 1,258,217 3,774,652 1,887,326 943,663 2,830,990 1,415,495 4,246,486 2,123,243 6,369,730 3,184,865 9,554,596 4,777,298 2,388,649 7,165,948 3,582,974 1,791,487 5,374,462 2,687,231 8,061,694

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