8,090,972

2² × 2022743

8,090,972 factors as 2^2 × 2022743. Its 6 positive divisors give a proper-divisor sum of 6,068,236, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 2022743

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 14,159,208

Proper Divisor Sum 6,068,236

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8090939 ← → #8090989

Radix Representation

Decimal	8090972
Binary	11110110111010101011100 (23 bits)
Octal	0o36672534
Hexadecimal	0x7B755C

Divisor Catalog (6)

1 2 4 2,022,743 4,045,486 8,090,972

Collatz Trajectory (85 steps to reach 1)

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

8,090,972 4,045,486 2,022,743 6,068,230 3,034,115 9,102,346 4,551,173 13,653,520 6,826,760 3,413,380 1,706,690 853,345 2,560,036 1,280,018 640,009 1,920,028 960,014 480,007 1,440,022 720,011 2,160,034 1,080,017 3,240,052 1,620,026 810,013 2,430,040 1,215,020 607,510 303,755 911,266 455,633 1,366,900 683,450 341,725 1,025,176 512,588 256,294 128,147 384,442 192,221 576,664 288,332 144,166 72,083 216,250 108,125 324,376 162,188 81,094 40,547 121,642 60,821 182,464 91,232 45,616 22,808 11,404 5,702 2,851 8,554

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