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Atlas › Integer Profiles › Node 4,584,696

4,584,696

23 × 3 × 172 × 661
Abundant Even Composite

4,584,696 factors as 2^3 × 3 × 17^2 × 661. Its 48 positive divisors give a proper-divisor sum of 7,609,344, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 17^2 × 661
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,194,040
Proper Divisor Sum 7,609,344
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #4584691 ← → #4584721

Radix Representation

Decimal 4584696
Binary 10001011111010011111000 (23 bits)
Octal 0o21372370
Hexadecimal 0x45F4F8

Divisor Catalog (48)

1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 289 408 578 661 867 1,156 1,322 1,734 1,983 2,312 2,644 3,468 3,966 5,288 6,936 7,932 11,237 15,864 22,474 33,711 44,948 67,422 89,896 134,844 191,029 269,688 382,058 573,087 764,116 1,146,174 1,528,232 2,292,348 4,584,696

Collatz Trajectory (224 steps to reach 1)

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

4,584,696 2,292,348 1,146,174 573,087 1,719,262 859,631 2,578,894 1,289,447 3,868,342 1,934,171 5,802,514 2,901,257 8,703,772 4,351,886 2,175,943 6,527,830 3,263,915 9,791,746 4,895,873 14,687,620 7,343,810 3,671,905 11,015,716 5,507,858 2,753,929 8,261,788 4,130,894 2,065,447 6,196,342 3,098,171 9,294,514 4,647,257 13,941,772 6,970,886 3,485,443 10,456,330 5,228,165 15,684,496 7,842,248 3,921,124 1,960,562 980,281 2,940,844 1,470,422 735,211 2,205,634 1,102,817 3,308,452 1,654,226 827,113 2,481,340 1,240,670 620,335 1,861,006 930,503 2,791,510 1,395,755 4,187,266 2,093,633 6,280,900

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