7,506,285

3 × 5 × 109 × 4591

Starting at 7,506,285, the Collatz iteration reaches 1 after 186 steps. The first transition is 22518856; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 109 × 4591

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,122,880

Proper Divisor Sum 4,616,595

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7506281 ← → #7506287

Radix Representation

Decimal	7506285
Binary	11100101000100101101101 (23 bits)
Octal	0o34504555
Hexadecimal	0x72896D

Divisor Catalog (16)

1 3 5 15 109 327 545 1,635 4,591 13,773 22,955 68,865 500,419 1,501,257 2,502,095 7,506,285

Collatz Trajectory (186 steps to reach 1)

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

7,506,285 22,518,856 11,259,428 5,629,714 2,814,857 8,444,572 4,222,286 2,111,143 6,333,430 3,166,715 9,500,146 4,750,073 14,250,220 7,125,110 3,562,555 10,687,666 5,343,833 16,031,500 8,015,750 4,007,875 12,023,626 6,011,813 18,035,440 9,017,720 4,508,860 2,254,430 1,127,215 3,381,646 1,690,823 5,072,470 2,536,235 7,608,706 3,804,353 11,413,060 5,706,530 2,853,265 8,559,796 4,279,898 2,139,949 6,419,848 3,209,924 1,604,962 802,481 2,407,444 1,203,722 601,861 1,805,584 902,792 451,396 225,698 112,849 338,548 169,274 84,637 253,912 126,956 63,478 31,739 95,218 47,609

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