6,677,865

3² × 5 × 31 × 4787

Starting at 6,677,865, the Collatz iteration reaches 1 after 191 steps. The first transition is 20033596; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 31 × 4787

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,950,848

Proper Divisor Sum 5,272,983

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #6677861 ← → #6677887

Radix Representation

Decimal	6677865
Binary	11001011110010101101001 (23 bits)
Octal	0o31362551
Hexadecimal	0x65E569

Divisor Catalog (24)

1 3 5 9 15 31 45 93 155 279 465 1,395 4,787 14,361 23,935 43,083 71,805 148,397 215,415 445,191 741,985 1,335,573 2,225,955 6,677,865

Collatz Trajectory (191 steps to reach 1)

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

6,677,865 20,033,596 10,016,798 5,008,399 15,025,198 7,512,599 22,537,798 11,268,899 33,806,698 16,903,349 50,710,048 25,355,024 12,677,512 6,338,756 3,169,378 1,584,689 4,754,068 2,377,034 1,188,517 3,565,552 1,782,776 891,388 445,694 222,847 668,542 334,271 1,002,814 501,407 1,504,222 752,111 2,256,334 1,128,167 3,384,502 1,692,251 5,076,754 2,538,377 7,615,132 3,807,566 1,903,783 5,711,350 2,855,675 8,567,026 4,283,513 12,850,540 6,425,270 3,212,635 9,637,906 4,818,953 14,456,860 7,228,430 3,614,215 10,842,646 5,421,323 16,263,970 8,131,985 24,395,956 12,197,978 6,098,989 18,296,968 9,148,484

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