6,761,088

2⁷ × 3² × 5869

6,761,088 has the prime decomposition 2^7 × 3^2 × 5869. Its 3 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^7 × 3^2 × 5869

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 19,459,050

Proper Divisor Sum 12,697,962

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6761059 ← → #6761101

Radix Representation

Decimal	6761088
Binary	11001110010101010000000 (23 bits)
Octal	0o31625200
Hexadecimal	0x672A80

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1,152 5,869 11,738 17,607 23,476 35,214 46,952 52,821 70,428 93,904 105,642 140,856 187,808 211,284 281,712 375,616 422,568 563,424 751,232 845,136 1,126,848 1,690,272 2,253,696 3,380,544 6,761,088

Collatz Trajectory (147 steps to reach 1)

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

6,761,088 3,380,544 1,690,272 845,136 422,568 211,284 105,642 52,821 158,464 79,232 39,616 19,808 9,904 4,952 2,476 1,238 619 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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