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Atlas › Integer Profiles › Node 8,215,744

8,215,744

26 × 31 × 41 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 31 × 41 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 17,410,176
Proper Divisor Sum 9,194,432
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8215717 ← → #8215783

Radix Representation

Decimal 8215744
Binary 11111010101110011000000 (23 bits)
Octal 0o37256300
Hexadecimal 0x7D5CC0

Divisor Catalog (56)

1 2 4 8 16 31 32 41 62 64 82 101 124 164 202 248 328 404 496 656 808 992 1,271 1,312 1,616 1,984 2,542 2,624 3,131 3,232 4,141 5,084 6,262 6,464 8,282 10,168 12,524 16,564 20,336 25,048 33,128 40,672 50,096 66,256 81,344 100,192 128,371 132,512 200,384 256,742 265,024 513,484 1,026,968 2,053,936 4,107,872 8,215,744

Collatz Trajectory (62 steps to reach 1)

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

8,215,744 4,107,872 2,053,936 1,026,968 513,484 256,742 128,371 385,114 192,557 577,672 288,836 144,418 72,209 216,628 108,314 54,157 162,472 81,236 40,618 20,309 60,928 30,464 15,232 7,616 3,808 1,904 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8

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