7,769,702

2 × 103 × 37717

Starting at 7,769,702, the Collatz iteration reaches 1 after 155 steps. The first transition is 3884851; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 103 × 37717

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 11,768,016

Proper Divisor Sum 3,998,314

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7769701 ← → #7769717

Radix Representation

Decimal	7769702
Binary	11101101000111001100110 (23 bits)
Octal	0o35507146
Hexadecimal	0x768E66

Divisor Catalog (8)

1 2 103 206 37,717 75,434 3,884,851 7,769,702

Collatz Trajectory (155 steps to reach 1)

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

7,769,702 3,884,851 11,654,554 5,827,277 17,481,832 8,740,916 4,370,458 2,185,229 6,555,688 3,277,844 1,638,922 819,461 2,458,384 1,229,192 614,596 307,298 153,649 460,948 230,474 115,237 345,712 172,856 86,428 43,214 21,607 64,822 32,411 97,234 48,617 145,852 72,926 36,463 109,390 54,695 164,086 82,043 246,130 123,065 369,196 184,598 92,299 276,898 138,449 415,348 207,674 103,837 311,512 155,756 77,878 38,939 116,818 58,409 175,228 87,614 43,807 131,422 65,711 197,134 98,567 295,702

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