7,759,791

3² × 13 × 29 × 2287

Starting at 7,759,791, the Collatz iteration reaches 1 after 230 steps. The first transition is 23279374; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 29 × 2287

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,492,480

Proper Divisor Sum 4,732,689

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7759789 ← → #7759811

Radix Representation

Decimal	7759791
Binary	11101100110011110101111 (23 bits)
Octal	0o35463657
Hexadecimal	0x7667AF

Divisor Catalog (24)

1 3 9 13 29 39 87 117 261 377 1,131 2,287 3,393 6,861 20,583 29,731 66,323 89,193 198,969 267,579 596,907 862,199 2,586,597 7,759,791

Collatz Trajectory (230 steps to reach 1)

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

7,759,791 23,279,374 11,639,687 34,919,062 17,459,531 52,378,594 26,189,297 78,567,892 39,283,946 19,641,973 58,925,920 29,462,960 14,731,480 7,365,740 3,682,870 1,841,435 5,524,306 2,762,153 8,286,460 4,143,230 2,071,615 6,214,846 3,107,423 9,322,270 4,661,135 13,983,406 6,991,703 20,975,110 10,487,555 31,462,666 15,731,333 47,194,000 23,597,000 11,798,500 5,899,250 2,949,625 8,848,876 4,424,438 2,212,219 6,636,658 3,318,329 9,954,988 4,977,494 2,488,747 7,466,242 3,733,121 11,199,364 5,599,682 2,799,841 8,399,524 4,199,762 2,099,881 6,299,644 3,149,822 1,574,911 4,724,734 2,362,367 7,087,102 3,543,551 10,630,654

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