7,177,578

2 × 3 × 53 × 22571

Starting at 7,177,578, the Collatz iteration reaches 1 after 98 steps. The first transition is 3588789; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 53 × 22571

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,626,656

Proper Divisor Sum 7,449,078

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #7177537 ← → #7177601

Radix Representation

Decimal	7177578
Binary	11011011000010101101010 (23 bits)
Octal	0o33302552
Hexadecimal	0x6D856A

Divisor Catalog (16)

1 2 3 6 53 106 159 318 22,571 45,142 67,713 135,426 1,196,263 2,392,526 3,588,789 7,177,578

Collatz Trajectory (98 steps to reach 1)

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

7,177,578 3,588,789 10,766,368 5,383,184 2,691,592 1,345,796 672,898 336,449 1,009,348 504,674 252,337 757,012 378,506 189,253 567,760 283,880 141,940 70,970 35,485 106,456 53,228 26,614 13,307 39,922 19,961 59,884 29,942 14,971 44,914 22,457 67,372 33,686 16,843 50,530 25,265 75,796 37,898 18,949 56,848 28,424 14,212 7,106 3,553 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594

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