λ
Prime Ledger

9,082,287

34 × 31 × 3617
Deficient Odd Composite

9,082,287 has the prime decomposition 3^4 × 31 × 3617. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 3^4 × 31 × 3617
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 14,008,896
Proper Divisor Sum 4,926,609
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9082277 ← → #9082289

Radix Representation

Decimal 9082287
Binary 100010101001010110101111 (24 bits)
Octal 0o42512657
Hexadecimal 0x8A95AF

Divisor Catalog (20)

1 3 9 27 31 81 93 279 837 2,511 3,617 10,851 32,553 97,659 112,127 292,977 336,381 1,009,143 3,027,429 9,082,287

Collatz Trajectory (181 steps to reach 1)

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

9,082,287 27,246,862 13,623,431 40,870,294 20,435,147 61,305,442 30,652,721 91,958,164 45,979,082 22,989,541 68,968,624 34,484,312 17,242,156 8,621,078 4,310,539 12,931,618 6,465,809 19,397,428 9,698,714 4,849,357 14,548,072 7,274,036 3,637,018 1,818,509 5,455,528 2,727,764 1,363,882 681,941 2,045,824 1,022,912 511,456 255,728 127,864 63,932 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602

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