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Atlas › Integer Profiles › Node 4,040,320

4,040,320

27 × 5 × 59 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5 × 59 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,914,400
Proper Divisor Sum 5,874,080
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #4040317 ← → #4040327

Radix Representation

Decimal 4040320
Binary 1111011010011010000000 (22 bits)
Octal 0o17323200
Hexadecimal 0x3DA680

Divisor Catalog (60 of 64)

1 2 4 5 8 10 16 20 32 40 59 64 80 107 118 128 160 214 236 295 320 428 472 535 590 640 856 944 1,070 1,180 1,712 1,888 2,140 2,360 3,424 3,776 4,280 4,720 6,313 6,848 7,552 8,560 9,440 12,626 13,696 17,120 18,880 25,252 31,565 34,240 37,760 50,504 63,130 68,480 101,008 126,260 202,016 252,520 404,032 505,040

Collatz Trajectory (110 steps to reach 1)

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

4,040,320 2,020,160 1,010,080 505,040 252,520 126,260 63,130 31,565 94,696 47,348 23,674 11,837 35,512 17,756 8,878 4,439 13,318 6,659 19,978 9,989 29,968 14,984 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719

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