λ
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Atlas › Integer Profiles › Node 8,250,822

8,250,822

2 × 36 × 5659
Abundant Even Composite

Starting at 8,250,822, the Collatz iteration reaches 1 after 137 steps. The first transition is 4125411; the starting value is even with 28 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^6 × 5659
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 18,559,140
Proper Divisor Sum 10,308,318
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8250817 ← → #8250833

Radix Representation

Decimal 8250822
Binary 11111011110010111000110 (23 bits)
Octal 0o37362706
Hexadecimal 0x7DE5C6

Divisor Catalog (28)

1 2 3 6 9 18 27 54 81 162 243 486 729 1,458 5,659 11,318 16,977 33,954 50,931 101,862 152,793 305,586 458,379 916,758 1,375,137 2,750,274 4,125,411 8,250,822

Collatz Trajectory (137 steps to reach 1)

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

8,250,822 4,125,411 12,376,234 6,188,117 18,564,352 9,282,176 4,641,088 2,320,544 1,160,272 580,136 290,068 145,034 72,517 217,552 108,776 54,388 27,194 13,597 40,792 20,396 10,198 5,099 15,298 7,649 22,948 11,474 5,737 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546 23,273 69,820 34,910 17,455 52,366

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