8,288,131

61 × 83 × 1637

Starting at 8,288,131, the Collatz iteration reaches 1 after 137 steps. The first transition is 24864394; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 61 × 83 × 1637

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 8,530,704

Proper Divisor Sum 242,573

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8288107 ← → #8288141

Radix Representation

Decimal	8288131
Binary	11111100111011110000011 (23 bits)
Octal	0o37473603
Hexadecimal	0x7E7783

Divisor Catalog (8)

1 61 83 1,637 5,063 99,857 135,871 8,288,131

Collatz Trajectory (137 steps to reach 1)

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

8,288,131 24,864,394 12,432,197 37,296,592 18,648,296 9,324,148 4,662,074 2,331,037 6,993,112 3,496,556 1,748,278 874,139 2,622,418 1,311,209 3,933,628 1,966,814 983,407 2,950,222 1,475,111 4,425,334 2,212,667 6,638,002 3,319,001 9,957,004 4,978,502 2,489,251 7,467,754 3,733,877 11,201,632 5,600,816 2,800,408 1,400,204 700,102 350,051 1,050,154 525,077 1,575,232 787,616 393,808 196,904 98,452 49,226 24,613 73,840 36,920 18,460 9,230 4,615 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764

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