8,217,761

131 × 62731

Starting at 8,217,761, the Collatz iteration reaches 1 after 155 steps. The first transition is 24653284; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 131 × 62731

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,280,624

Proper Divisor Sum 62,863

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8217757 ← → #8217767

Radix Representation

Decimal	8217761
Binary	11111010110010010100001 (23 bits)
Octal	0o37262241
Hexadecimal	0x7D64A1

Divisor Catalog (4)

1 131 62,731 8,217,761

Collatz Trajectory (155 steps to reach 1)

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

8,217,761 24,653,284 12,326,642 6,163,321 18,489,964 9,244,982 4,622,491 13,867,474 6,933,737 20,801,212 10,400,606 5,200,303 15,600,910 7,800,455 23,401,366 11,700,683 35,102,050 17,551,025 52,653,076 26,326,538 13,163,269 39,489,808 19,744,904 9,872,452 4,936,226 2,468,113 7,404,340 3,702,170 1,851,085 5,553,256 2,776,628 1,388,314 694,157 2,082,472 1,041,236 520,618 260,309 780,928 390,464 195,232 97,616 48,808 24,404 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456

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