6,753,356

2² × 41 × 41179

Starting at 6,753,356, the Collatz iteration reaches 1 after 85 steps. The first transition is 3376678; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 41 × 41179

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,106,920

Proper Divisor Sum 5,353,564

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #6753353 ← → #6753359

Radix Representation

Decimal	6753356
Binary	11001110000110001001100 (23 bits)
Octal	0o31606114
Hexadecimal	0x670C4C

Divisor Catalog (12)

1 2 4 41 82 164 41,179 82,358 164,716 1,688,339 3,376,678 6,753,356

Collatz Trajectory (85 steps to reach 1)

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

6,753,356 3,376,678 1,688,339 5,065,018 2,532,509 7,597,528 3,798,764 1,899,382 949,691 2,849,074 1,424,537 4,273,612 2,136,806 1,068,403 3,205,210 1,602,605 4,807,816 2,403,908 1,201,954 600,977 1,802,932 901,466 450,733 1,352,200 676,100 338,050 169,025 507,076 253,538 126,769 380,308 190,154 95,077 285,232 142,616 71,308 35,654 17,827 53,482 26,741 80,224 40,112 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192

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