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Atlas › Integer Profiles › Node 4,584,546

4,584,546

2 × 33 × 73 × 1163
Abundant Even Composite

4,584,546 factors as 2 × 3^3 × 73 × 1163. Its 32 positive divisors give a proper-divisor sum of 5,751,774, so this integer is abundant. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 73 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,336,320
Proper Divisor Sum 5,751,774
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4584533 ← → #4584551

Radix Representation

Decimal 4584546
Binary 10001011111010001100010 (23 bits)
Octal 0o21372142
Hexadecimal 0x45F462

Divisor Catalog (32)

1 2 3 6 9 18 27 54 73 146 219 438 657 1,163 1,314 1,971 2,326 3,489 3,942 6,978 10,467 20,934 31,401 62,802 84,899 169,798 254,697 509,394 764,091 1,528,182 2,292,273 4,584,546

Collatz Trajectory (224 steps to reach 1)

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

4,584,546 2,292,273 6,876,820 3,438,410 1,719,205 5,157,616 2,578,808 1,289,404 644,702 322,351 967,054 483,527 1,450,582 725,291 2,175,874 1,087,937 3,263,812 1,631,906 815,953 2,447,860 1,223,930 611,965 1,835,896 917,948 458,974 229,487 688,462 344,231 1,032,694 516,347 1,549,042 774,521 2,323,564 1,161,782 580,891 1,742,674 871,337 2,614,012 1,307,006 653,503 1,960,510 980,255 2,940,766 1,470,383 4,411,150 2,205,575 6,616,726 3,308,363 9,925,090 4,962,545 14,887,636 7,443,818 3,721,909 11,165,728 5,582,864 2,791,432 1,395,716 697,858 348,929 1,046,788

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