7,740,109

13 × 151 × 3943

Starting at 7,740,109, the Collatz iteration reaches 1 after 98 steps. The first transition is 23220328; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 151 × 3943

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,392,832

Proper Divisor Sum 652,723

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7740097 ← → #7740119

Radix Representation

Decimal	7740109
Binary	11101100001101011001101 (23 bits)
Octal	0o35415315
Hexadecimal	0x761ACD

Divisor Catalog (8)

1 13 151 1,963 3,943 51,259 595,393 7,740,109

Collatz Trajectory (98 steps to reach 1)

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

7,740,109 23,220,328 11,610,164 5,805,082 2,902,541 8,707,624 4,353,812 2,176,906 1,088,453 3,265,360 1,632,680 816,340 408,170 204,085 612,256 306,128 153,064 76,532 38,266 19,133 57,400 28,700 14,350 7,175 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366

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