7,667,740

2² × 5 × 23 × 79 × 211

Starting at 7,667,740, the Collatz iteration reaches 1 after 217 steps. The first transition is 3833870; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 79 × 211

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 17,095,680

Proper Divisor Sum 9,427,940

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #7667729 ← → #7667747

Radix Representation

Decimal	7667740
Binary	11101010000000000011100 (23 bits)
Octal	0o35200034
Hexadecimal	0x75001C

Divisor Catalog (48)

1 2 4 5 10 20 23 46 79 92 115 158 211 230 316 395 422 460 790 844 1,055 1,580 1,817 2,110 3,634 4,220 4,853 7,268 9,085 9,706 16,669 18,170 19,412 24,265 33,338 36,340 48,530 66,676 83,345 97,060 166,690 333,380 383,387 766,774 1,533,548 1,916,935 3,833,870 7,667,740

Collatz Trajectory (217 steps to reach 1)

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

7,667,740 3,833,870 1,916,935 5,750,806 2,875,403 8,626,210 4,313,105 12,939,316 6,469,658 3,234,829 9,704,488 4,852,244 2,426,122 1,213,061 3,639,184 1,819,592 909,796 454,898 227,449 682,348 341,174 170,587 511,762 255,881 767,644 383,822 191,911 575,734 287,867 863,602 431,801 1,295,404 647,702 323,851 971,554 485,777 1,457,332 728,666 364,333 1,093,000 546,500 273,250 136,625 409,876 204,938 102,469 307,408 153,704 76,852 38,426 19,213 57,640 28,820 14,410 7,205 21,616 10,808 5,404 2,702 1,351

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