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Atlas › Integer Profiles › Node 4,580,268

4,580,268

22 × 3 × 7 × 11 × 4957
Abundant Even Composite

4,580,268 factors as 2^2 × 3 × 7 × 11 × 4957. Its 48 positive divisors give a proper-divisor sum of 8,746,836, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 11 × 4957
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,327,104
Proper Divisor Sum 8,746,836
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4580227 ← → #4580269

Radix Representation

Decimal 4580268
Binary 10001011110001110101100 (23 bits)
Octal 0o21361654
Hexadecimal 0x45E3AC

Divisor Catalog (48)

1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 462 924 4,957 9,914 14,871 19,828 29,742 34,699 54,527 59,484 69,398 104,097 109,054 138,796 163,581 208,194 218,108 327,162 381,689 416,388 654,324 763,378 1,145,067 1,526,756 2,290,134 4,580,268

Collatz Trajectory (131 steps to reach 1)

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

4,580,268 2,290,134 1,145,067 3,435,202 1,717,601 5,152,804 2,576,402 1,288,201 3,864,604 1,932,302 966,151 2,898,454 1,449,227 4,347,682 2,173,841 6,521,524 3,260,762 1,630,381 4,891,144 2,445,572 1,222,786 611,393 1,834,180 917,090 458,545 1,375,636 687,818 343,909 1,031,728 515,864 257,932 128,966 64,483 193,450 96,725 290,176 145,088 72,544 36,272 18,136 9,068 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846

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