8,295,548

2² × 23 × 37 × 2437

Starting at 8,295,548, the Collatz iteration reaches 1 after 199 steps. The first transition is 4147774; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 23 × 37 × 2437

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,564,192

Proper Divisor Sum 7,268,644

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #8295527 ← → #8295557

Radix Representation

Decimal	8295548
Binary	11111101001010001111100 (23 bits)
Octal	0o37512174
Hexadecimal	0x7E947C

Divisor Catalog (24)

1 2 4 23 37 46 74 92 148 851 1,702 2,437 3,404 4,874 9,748 56,051 90,169 112,102 180,338 224,204 360,676 2,073,887 4,147,774 8,295,548

Collatz Trajectory (199 steps to reach 1)

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

8,295,548 4,147,774 2,073,887 6,221,662 3,110,831 9,332,494 4,666,247 13,998,742 6,999,371 20,998,114 10,499,057 31,497,172 15,748,586 7,874,293 23,622,880 11,811,440 5,905,720 2,952,860 1,476,430 738,215 2,214,646 1,107,323 3,321,970 1,660,985 4,982,956 2,491,478 1,245,739 3,737,218 1,868,609 5,605,828 2,802,914 1,401,457 4,204,372 2,102,186 1,051,093 3,153,280 1,576,640 788,320 394,160 197,080 98,540 49,270 24,635 73,906 36,953 110,860 55,430 27,715 83,146 41,573 124,720 62,360 31,180 15,590 7,795 23,386 11,693 35,080 17,540 8,770

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