7,587,750

2 × 3 × 5³ × 67 × 151

Starting at 7,587,750, the Collatz iteration reaches 1 after 173 steps. The first transition is 3793875; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 67 × 151

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 19,348,992

Proper Divisor Sum 11,761,242

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7587743 ← → #7587751

Radix Representation

Decimal	7587750
Binary	11100111100011110100110 (23 bits)
Octal	0o34743646
Hexadecimal	0x73C7A6

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 25 30 50 67 75 125 134 150 151 201 250 302 335 375 402 453 670 750 755 906 1,005 1,510 1,675 2,010 2,265 3,350 3,775 4,530 5,025 7,550 8,375 10,050 10,117 11,325 16,750 18,875 20,234 22,650 25,125 30,351 37,750 50,250 50,585 56,625 60,702 101,170 113,250 151,755 252,925 303,510 505,850 758,775 1,264,625

Collatz Trajectory (173 steps to reach 1)

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

7,587,750 3,793,875 11,381,626 5,690,813 17,072,440 8,536,220 4,268,110 2,134,055 6,402,166 3,201,083 9,603,250 4,801,625 14,404,876 7,202,438 3,601,219 10,803,658 5,401,829 16,205,488 8,102,744 4,051,372 2,025,686 1,012,843 3,038,530 1,519,265 4,557,796 2,278,898 1,139,449 3,418,348 1,709,174 854,587 2,563,762 1,281,881 3,845,644 1,922,822 961,411 2,884,234 1,442,117 4,326,352 2,163,176 1,081,588 540,794 270,397 811,192 405,596 202,798 101,399 304,198 152,099 456,298 228,149 684,448 342,224 171,112 85,556 42,778 21,389 64,168 32,084 16,042 8,021

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