2,436,588

2² × 3³ × 7 × 11 × 293

2,436,588 factors as 2^2 × 3^3 × 7 × 11 × 293. Its 96 positive divisors give a proper-divisor sum of 5,466,132, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 11 × 293

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 7,902,720

Proper Divisor Sum 5,466,132

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2436571 ← → #2436601

Radix Representation

Decimal	2436588
Binary	1001010010110111101100 (22 bits)
Octal	0o11226754
Hexadecimal	0x252DEC

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 293 297 308 378 396 462 586 594 693 756 879 924 1,172 1,188 1,386 1,758 2,051 2,079 2,637 2,772 3,223 3,516 4,102 4,158 5,274 6,153 6,446

Collatz Trajectory (197 steps to reach 1)

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

2,436,588 1,218,294 609,147 1,827,442 913,721 2,741,164 1,370,582 685,291 2,055,874 1,027,937 3,083,812 1,541,906 770,953 2,312,860 1,156,430 578,215 1,734,646 867,323 2,601,970 1,300,985 3,902,956 1,951,478 975,739 2,927,218 1,463,609 4,390,828 2,195,414 1,097,707 3,293,122 1,646,561 4,939,684 2,469,842 1,234,921 3,704,764 1,852,382 926,191 2,778,574 1,389,287 4,167,862 2,083,931 6,251,794 3,125,897 9,377,692 4,688,846 2,344,423 7,033,270 3,516,635 10,549,906 5,274,953 15,824,860 7,912,430 3,956,215 11,868,646 5,934,323 17,802,970 8,901,485 26,704,456 13,352,228 6,676,114 3,338,057

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