6,746,976

2⁵ × 3⁴ × 19 × 137

For 6,746,976, the 120 positive divisors have a total of 21,039,480. Removing 6,746,976 leaves 14,292,504, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^5 × 3^4 × 19 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 21,039,480

Proper Divisor Sum 14,292,504

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6746969 ← → #6746983

Radix Representation

Decimal	6746976
Binary	11001101111001101100000 (23 bits)
Octal	0o31571540
Hexadecimal	0x66F360

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 137 144 152 162 171 216 228 274 288 304 324 342 411 432 456 513 548 608 648 684 822 864 912 1,026 1,096 1,233 1,296 1,368 1,539 1,644 1,824 2,052 2,192 2,466 2,592

Collatz Trajectory (134 steps to reach 1)

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

6,746,976 3,373,488 1,686,744 843,372 421,686 210,843 632,530 316,265 948,796 474,398 237,199 711,598 355,799 1,067,398 533,699 1,601,098 800,549 2,401,648 1,200,824 600,412 300,206 150,103 450,310 225,155 675,466 337,733 1,013,200 506,600 253,300 126,650 63,325 189,976 94,988 47,494 23,747 71,242 35,621 106,864 53,432 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190

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