7,697,763

3² × 855307

Starting at 7,697,763, the Collatz iteration reaches 1 after 217 steps. The first transition is 23093290; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 855307

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 11,119,004

Proper Divisor Sum 3,421,241

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #7697761 ← → #7697771

Radix Representation

Decimal	7697763
Binary	11101010111010101100011 (23 bits)
Octal	0o35272543
Hexadecimal	0x757563

Divisor Catalog (6)

1 3 9 855,307 2,565,921 7,697,763

Collatz Trajectory (217 steps to reach 1)

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

7,697,763 23,093,290 11,546,645 34,639,936 17,319,968 8,659,984 4,329,992 2,164,996 1,082,498 541,249 1,623,748 811,874 405,937 1,217,812 608,906 304,453 913,360 456,680 228,340 114,170 57,085 171,256 85,628 42,814 21,407 64,222 32,111 96,334 48,167 144,502 72,251 216,754 108,377 325,132 162,566 81,283 243,850 121,925 365,776 182,888 91,444 45,722 22,861 68,584 34,292 17,146 8,573 25,720 12,860 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140

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