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Atlas › Integer Profiles › Node 6,508,096

6,508,096

26 × 7 × 73 × 199
Abundant Even Composite

6,508,096 factors as 2^6 × 7 × 73 × 199. Its 56 positive divisors give a proper-divisor sum of 8,528,704, so this integer is abundant. The Collatz stopping time is 116 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 73 × 199
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 15,036,800
Proper Divisor Sum 8,528,704
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6508091 ← → #6508097

Radix Representation

Decimal 6508096
Binary 11000110100111001000000 (23 bits)
Octal 0o30647100
Hexadecimal 0x634E40

Divisor Catalog (56)

1 2 4 7 8 14 16 28 32 56 64 73 112 146 199 224 292 398 448 511 584 796 1,022 1,168 1,393 1,592 2,044 2,336 2,786 3,184 4,088 4,672 5,572 6,368 8,176 11,144 12,736 14,527 16,352 22,288 29,054 32,704 44,576 58,108 89,152 101,689 116,216 203,378 232,432 406,756 464,864 813,512 929,728 1,627,024 3,254,048 6,508,096

Collatz Trajectory (116 steps to reach 1)

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

6,508,096 3,254,048 1,627,024 813,512 406,756 203,378 101,689 305,068 152,534 76,267 228,802 114,401 343,204 171,602 85,801 257,404 128,702 64,351 193,054 96,527 289,582 144,791 434,374 217,187 651,562 325,781 977,344 488,672 244,336 122,168 61,084 30,542 15,271 45,814 22,907 68,722 34,361 103,084 51,542 25,771 77,314 38,657 115,972 57,986 28,993 86,980 43,490 21,745 65,236 32,618 16,309 48,928 24,464 12,232 6,116 3,058 1,529 4,588 2,294 1,147

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