7,433,745

3 × 5 × 11 × 45053

7,433,745 factors as 3 × 5 × 11 × 45053. Its 16 positive divisors give a proper-divisor sum of 5,541,807, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11 × 45053

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,975,552

Proper Divisor Sum 5,541,807

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7433737 ← → #7433747

Radix Representation

Decimal	7433745
Binary	11100010110111000010001 (23 bits)
Octal	0o34267021
Hexadecimal	0x716E11

Divisor Catalog (16)

1 3 5 11 15 33 55 165 45,053 135,159 225,265 495,583 675,795 1,486,749 2,477,915 7,433,745

Collatz Trajectory (80 steps to reach 1)

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

7,433,745 22,301,236 11,150,618 5,575,309 16,725,928 8,362,964 4,181,482 2,090,741 6,272,224 3,136,112 1,568,056 784,028 392,014 196,007 588,022 294,011 882,034 441,017 1,323,052 661,526 330,763 992,290 496,145 1,488,436 744,218 372,109 1,116,328 558,164 279,082 139,541 418,624 209,312 104,656 52,328 26,164 13,082 6,541 19,624 9,812 4,906 2,453 7,360 3,680 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37

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