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Atlas › Integer Profiles › Node 4,090,734

4,090,734

2 × 32 × 23 × 41 × 241
Abundant Even Composite

4,090,734 factors as 2 × 3^2 × 23 × 41 × 241. Its 48 positive divisors give a proper-divisor sum of 5,422,770, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 23 × 41 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,513,504
Proper Divisor Sum 5,422,770
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4090733 ← → #4090747

Radix Representation

Decimal 4090734
Binary 1111100110101101101110 (22 bits)
Octal 0o17465556
Hexadecimal 0x3E6B6E

Divisor Catalog (48)

1 2 3 6 9 18 23 41 46 69 82 123 138 207 241 246 369 414 482 723 738 943 1,446 1,886 2,169 2,829 4,338 5,543 5,658 8,487 9,881 11,086 16,629 16,974 19,762 29,643 33,258 49,887 59,286 88,929 99,774 177,858 227,263 454,526 681,789 1,363,578 2,045,367 4,090,734

Collatz Trajectory (154 steps to reach 1)

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

4,090,734 2,045,367 6,136,102 3,068,051 9,204,154 4,602,077 13,806,232 6,903,116 3,451,558 1,725,779 5,177,338 2,588,669 7,766,008 3,883,004 1,941,502 970,751 2,912,254 1,456,127 4,368,382 2,184,191 6,552,574 3,276,287 9,828,862 4,914,431 14,743,294 7,371,647 22,114,942 11,057,471 33,172,414 16,586,207 49,758,622 24,879,311 74,637,934 37,318,967 111,956,902 55,978,451 167,935,354 83,967,677 251,903,032 125,951,516 62,975,758 31,487,879 94,463,638 47,231,819 141,695,458 70,847,729 212,543,188 106,271,594 53,135,797 159,407,392 79,703,696 39,851,848 19,925,924 9,962,962 4,981,481 14,944,444 7,472,222 3,736,111 11,208,334 5,604,167

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