8,290,618

2 × 7 × 691 × 857

Starting at 8,290,618, the Collatz iteration reaches 1 after 124 steps. The first transition is 4145309; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 691 × 857

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,249,664

Proper Divisor Sum 5,959,046

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8290613 ← → #8290619

Radix Representation

Decimal	8290618
Binary	11111101000000100111010 (23 bits)
Octal	0o37500472
Hexadecimal	0x7E813A

Divisor Catalog (16)

1 2 7 14 691 857 1,382 1,714 4,837 5,999 9,674 11,998 592,187 1,184,374 4,145,309 8,290,618

Collatz Trajectory (124 steps to reach 1)

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

8,290,618 4,145,309 12,435,928 6,217,964 3,108,982 1,554,491 4,663,474 2,331,737 6,995,212 3,497,606 1,748,803 5,246,410 2,623,205 7,869,616 3,934,808 1,967,404 983,702 491,851 1,475,554 737,777 2,213,332 1,106,666 553,333 1,660,000 830,000 415,000 207,500 103,750 51,875 155,626 77,813 233,440 116,720 58,360 29,180 14,590 7,295 21,886 10,943 32,830 16,415 49,246 24,623 73,870 36,935 110,806 55,403 166,210 83,105 249,316 124,658 62,329 186,988 93,494 46,747 140,242 70,121 210,364 105,182 52,591

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