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Atlas › Integer Profiles › Node 5,906,296

5,906,296

23 × 11 × 41 × 1637
Abundant Even Composite

5,906,296 factors as 2^3 × 11 × 41 × 1637. Its 32 positive divisors give a proper-divisor sum of 6,476,984, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^3 × 11 × 41 × 1637
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,383,280
Proper Divisor Sum 6,476,984
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5906291 ← → #5906297

Radix Representation

Decimal 5906296
Binary 10110100001111101111000 (23 bits)
Octal 0o26417570
Hexadecimal 0x5A1F78

Divisor Catalog (32)

1 2 4 8 11 22 41 44 82 88 164 328 451 902 1,637 1,804 3,274 3,608 6,548 13,096 18,007 36,014 67,117 72,028 134,234 144,056 268,468 536,936 738,287 1,476,574 2,953,148 5,906,296

Collatz Trajectory (144 steps to reach 1)

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

5,906,296 2,953,148 1,476,574 738,287 2,214,862 1,107,431 3,322,294 1,661,147 4,983,442 2,491,721 7,475,164 3,737,582 1,868,791 5,606,374 2,803,187 8,409,562 4,204,781 12,614,344 6,307,172 3,153,586 1,576,793 4,730,380 2,365,190 1,182,595 3,547,786 1,773,893 5,321,680 2,660,840 1,330,420 665,210 332,605 997,816 498,908 249,454 124,727 374,182 187,091 561,274 280,637 841,912 420,956 210,478 105,239 315,718 157,859 473,578 236,789 710,368 355,184 177,592 88,796 44,398 22,199 66,598 33,299 99,898 49,949 149,848 74,924 37,462

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