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Atlas › Integer Profiles › Node 4,391,496

4,391,496

23 × 37 × 251
Abundant Even Composite

4,391,496 factors as 2^3 × 3^7 × 251. Its 64 positive divisors give a proper-divisor sum of 8,006,904, so this integer is abundant. The Collatz stopping time is 286 steps.

Prime Factor Structure

Factorization String 2^3 × 3^7 × 251
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,398,400
Proper Divisor Sum 8,006,904
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4391483 ← → #4391503

Radix Representation

Decimal 4391496
Binary 10000110000001001001000 (23 bits)
Octal 0o20601110
Hexadecimal 0x430248

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 251 324 486 502 648 729 753 972 1,004 1,458 1,506 1,944 2,008 2,187 2,259 2,916 3,012 4,374 4,518 5,832 6,024 6,777 8,748 9,036 13,554 17,496 18,072 20,331 27,108 40,662 54,216 60,993 81,324 121,986 162,648 182,979 243,972 365,958 487,944 548,937 731,916

Collatz Trajectory (286 steps to reach 1)

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

4,391,496 2,195,748 1,097,874 548,937 1,646,812 823,406 411,703 1,235,110 617,555 1,852,666 926,333 2,779,000 1,389,500 694,750 347,375 1,042,126 521,063 1,563,190 781,595 2,344,786 1,172,393 3,517,180 1,758,590 879,295 2,637,886 1,318,943 3,956,830 1,978,415 5,935,246 2,967,623 8,902,870 4,451,435 13,354,306 6,677,153 20,031,460 10,015,730 5,007,865 15,023,596 7,511,798 3,755,899 11,267,698 5,633,849 16,901,548 8,450,774 4,225,387 12,676,162 6,338,081 19,014,244 9,507,122 4,753,561 14,260,684 7,130,342 3,565,171 10,695,514 5,347,757 16,043,272 8,021,636 4,010,818 2,005,409 6,016,228

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