7,710,384

2⁴ × 3 × 11 × 17 × 859

Starting at 7,710,384, the Collatz iteration reaches 1 after 124 steps. The first transition is 3855192; the starting value is even with 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 17 × 859

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 23,034,240

Proper Divisor Sum 15,323,856

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #7710377 ← → #7710421

Radix Representation

Decimal	7710384
Binary	11101011010011010110000 (23 bits)
Octal	0o35323260
Hexadecimal	0x75A6B0

Divisor Catalog (60 of 80)

1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 859 1,122 1,496 1,718 2,244 2,577 2,992 3,436 4,488 5,154 6,872 8,976 9,449 10,308 13,744 14,603 18,898 20,616 28,347 29,206 37,796 41,232 43,809 56,694 58,412 75,592

Collatz Trajectory (124 steps to reach 1)

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

7,710,384 3,855,192 1,927,596 963,798 481,899 1,445,698 722,849 2,168,548 1,084,274 542,137 1,626,412 813,206 406,603 1,219,810 609,905 1,829,716 914,858 457,429 1,372,288 686,144 343,072 171,536 85,768 42,884 21,442 10,721 32,164 16,082 8,041 24,124 12,062 6,031 18,094 9,047 27,142 13,571 40,714 20,357 61,072 30,536 15,268 7,634 3,817 11,452 5,726 2,863 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156

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