6,617,973

3 × 31 × 71161

Starting at 6,617,973, the Collatz iteration reaches 1 after 178 steps. The first transition is 19853920; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 31 × 71161

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 9,108,736

Proper Divisor Sum 2,490,763

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #6617969 ← → #6617983

Radix Representation

Decimal	6617973
Binary	11001001111101101110101 (23 bits)
Octal	0o31175565
Hexadecimal	0x64FB75

Divisor Catalog (8)

1 3 31 93 71,161 213,483 2,205,991 6,617,973

Collatz Trajectory (178 steps to reach 1)

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

6,617,973 19,853,920 9,926,960 4,963,480 2,481,740 1,240,870 620,435 1,861,306 930,653 2,791,960 1,395,980 697,990 348,995 1,046,986 523,493 1,570,480 785,240 392,620 196,310 98,155 294,466 147,233 441,700 220,850 110,425 331,276 165,638 82,819 248,458 124,229 372,688 186,344 93,172 46,586 23,293 69,880 34,940 17,470 8,735 26,206 13,103 39,310 19,655 58,966 29,483 88,450 44,225 132,676 66,338 33,169 99,508 49,754 24,877 74,632 37,316 18,658 9,329 27,988 13,994 6,997

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