λ
Prime Ledger

8,045,217

33 × 297971
Deficient Odd Composite

8,045,217 has the prime decomposition 3^3 × 297971. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 297971
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,918,880
Proper Divisor Sum 3,873,663
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8045207 ← → #8045221

Radix Representation

Decimal 8045217
Binary 11110101100001010100001 (23 bits)
Octal 0o36541241
Hexadecimal 0x7AC2A1

Divisor Catalog (8)

1 3 9 27 297,971 893,913 2,681,739 8,045,217

Collatz Trajectory (230 steps to reach 1)

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

8,045,217 24,135,652 12,067,826 6,033,913 18,101,740 9,050,870 4,525,435 13,576,306 6,788,153 20,364,460 10,182,230 5,091,115 15,273,346 7,636,673 22,910,020 11,455,010 5,727,505 17,182,516 8,591,258 4,295,629 12,886,888 6,443,444 3,221,722 1,610,861 4,832,584 2,416,292 1,208,146 604,073 1,812,220 906,110 453,055 1,359,166 679,583 2,038,750 1,019,375 3,058,126 1,529,063 4,587,190 2,293,595 6,880,786 3,440,393 10,321,180 5,160,590 2,580,295 7,740,886 3,870,443 11,611,330 5,805,665 17,416,996 8,708,498 4,354,249 13,062,748 6,531,374 3,265,687 9,797,062 4,898,531 14,695,594 7,347,797 22,043,392 11,021,696

More profiles

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