5,340,735

3⁴ × 5 × 13187

5,340,735 factors as 3^4 × 5 × 13187. Its 20 positive divisors give a proper-divisor sum of 4,233,753, so this integer is deficient. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 3^4 × 5 × 13187

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 9,574,488

Proper Divisor Sum 4,233,753

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5340707 ← → #5340743

Radix Representation

Decimal	5340735
Binary	10100010111111000111111 (23 bits)
Octal	0o24277077
Hexadecimal	0x517E3F

Divisor Catalog (20)

Collatz Trajectory (263 steps to reach 1)

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

5,340,735 16,022,206 8,011,103 24,033,310 12,016,655 36,049,966 18,024,983 54,074,950 27,037,475 81,112,426 40,556,213 121,668,640 60,834,320 30,417,160 15,208,580 7,604,290 3,802,145 11,406,436 5,703,218 2,851,609 8,554,828 4,277,414 2,138,707 6,416,122 3,208,061 9,624,184 4,812,092 2,406,046 1,203,023 3,609,070 1,804,535 5,413,606 2,706,803 8,120,410 4,060,205 12,180,616 6,090,308 3,045,154 1,522,577 4,567,732 2,283,866 1,141,933 3,425,800 1,712,900 856,450 428,225 1,284,676 642,338 321,169 963,508 481,754 240,877 722,632 361,316 180,658 90,329 270,988 135,494 67,747 203,242

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