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Atlas › Integer Profiles › Node 6,945,136

6,945,136

24 × 11 × 39461
Abundant Even Composite

6,945,136 factors as 2^4 × 11 × 39461. Its 20 positive divisors give a proper-divisor sum of 7,734,728, so this integer is abundant. The Collatz stopping time is 46 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 39461
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,679,864
Proper Divisor Sum 7,734,728
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6945131 ← → #6945139

Radix Representation

Decimal 6945136
Binary 11010011111100101110000 (23 bits)
Octal 0o32374560
Hexadecimal 0x69F970

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 39,461 78,922 157,844 315,688 434,071 631,376 868,142 1,736,284 3,472,568 6,945,136

Collatz Trajectory (46 steps to reach 1)

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

6,945,136 3,472,568 1,736,284 868,142 434,071 1,302,214 651,107 1,953,322 976,661 2,929,984 1,464,992 732,496 366,248 183,124 91,562 45,781 137,344 68,672 34,336 17,168 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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