8,088,248

2³ × 7 × 97 × 1489

Starting at 8,088,248, the Collatz iteration reaches 1 after 186 steps. The first transition is 4044124; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 7 × 97 × 1489

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 17,522,400

Proper Divisor Sum 9,434,152

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #8088247 ← → #8088259

Radix Representation

Decimal	8088248
Binary	11110110110101010111000 (23 bits)
Octal	0o36665270
Hexadecimal	0x7B6AB8

Divisor Catalog (32)

1 2 4 7 8 14 28 56 97 194 388 679 776 1,358 1,489 2,716 2,978 5,432 5,956 10,423 11,912 20,846 41,692 83,384 144,433 288,866 577,732 1,011,031 1,155,464 2,022,062 4,044,124 8,088,248

Collatz Trajectory (186 steps to reach 1)

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

8,088,248 4,044,124 2,022,062 1,011,031 3,033,094 1,516,547 4,549,642 2,274,821 6,824,464 3,412,232 1,706,116 853,058 426,529 1,279,588 639,794 319,897 959,692 479,846 239,923 719,770 359,885 1,079,656 539,828 269,914 134,957 404,872 202,436 101,218 50,609 151,828 75,914 37,957 113,872 56,936 28,468 14,234 7,117 21,352 10,676 5,338 2,669 8,008 4,004 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566

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