λ
Ratio Atlas

9,952,821

33 × 61 × 6043
Deficient Odd Composite

9,952,821 factors as 3^3 × 61 × 6043. Its 16 positive divisors give a proper-divisor sum of 5,036,299, so this integer is deficient. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 3^3 × 61 × 6043
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,989,120
Proper Divisor Sum 5,036,299
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9952799 ← → #9952847

Radix Representation

Decimal 9952821
Binary 100101111101111000110101 (24 bits)
Octal 0o45757065
Hexadecimal 0x97DE35

Divisor Catalog (16)

1 3 9 27 61 183 549 1,647 6,043 18,129 54,387 163,161 368,623 1,105,869 3,317,607 9,952,821

Collatz Trajectory (132 steps to reach 1)

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

9,952,821 29,858,464 14,929,232 7,464,616 3,732,308 1,866,154 933,077 2,799,232 1,399,616 699,808 349,904 174,952 87,476 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780

More profiles

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