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Atlas › Integer Profiles › Node 7,307,968

7,307,968

26 × 89 × 1283
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 89 × 1283
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 14,676,120
Proper Divisor Sum 7,368,152
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #7307941 ← → #7307969

Radix Representation

Decimal 7307968
Binary 11011111000001011000000 (23 bits)
Octal 0o33701300
Hexadecimal 0x6F82C0

Divisor Catalog (28)

1 2 4 8 16 32 64 89 178 356 712 1,283 1,424 2,566 2,848 5,132 5,696 10,264 20,528 41,056 82,112 114,187 228,374 456,748 913,496 1,826,992 3,653,984 7,307,968

Collatz Trajectory (67 steps to reach 1)

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

7,307,968 3,653,984 1,826,992 913,496 456,748 228,374 114,187 342,562 171,281 513,844 256,922 128,461 385,384 192,692 96,346 48,173 144,520 72,260 36,130 18,065 54,196 27,098 13,549 40,648 20,324 10,162 5,081 15,244 7,622 3,811 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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