λ
Math Directory

9,015,397

211 × 42727
Deficient Odd Composite

9,015,397 factors as 211 × 42727. Its 4 positive divisors give a proper-divisor sum of 42,939, so this integer is deficient. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 211 × 42727
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,058,336
Proper Divisor Sum 42,939
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9015371 ← → #9015421

Radix Representation

Decimal 9015397
Binary 100010011001000001100101 (24 bits)
Octal 0o42310145
Hexadecimal 0x899065

Divisor Catalog (4)

1 211 42,727 9,015,397

Collatz Trajectory (88 steps to reach 1)

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

9,015,397 27,046,192 13,523,096 6,761,548 3,380,774 1,690,387 5,071,162 2,535,581 7,606,744 3,803,372 1,901,686 950,843 2,852,530 1,426,265 4,278,796 2,139,398 1,069,699 3,209,098 1,604,549 4,813,648 2,406,824 1,203,412 601,706 300,853 902,560 451,280 225,640 112,820 56,410 28,205 84,616 42,308 21,154 10,577 31,732 15,866 7,933 23,800 11,900 5,950 2,975 8,926 4,463 13,390 6,695 20,086 10,043 30,130 15,065 45,196 22,598 11,299 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589

More profiles

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