7,502,428

2² × 71 × 26417

For 7,502,428, the 12 positive divisors have a total of 13,314,672. Removing 7,502,428 leaves 5,812,244, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 71 × 26417

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 13,314,672

Proper Divisor Sum 5,812,244

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7502413 ← → #7502431

Radix Representation

Decimal	7502428
Binary	11100100111101001011100 (23 bits)
Octal	0o34475134
Hexadecimal	0x727A5C

Divisor Catalog (12)

1 2 4 71 142 284 26,417 52,834 105,668 1,875,607 3,751,214 7,502,428

Collatz Trajectory (54 steps to reach 1)

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

7,502,428 3,751,214 1,875,607 5,626,822 2,813,411 8,440,234 4,220,117 12,660,352 6,330,176 3,165,088 1,582,544 791,272 395,636 197,818 98,909 296,728 148,364 74,182 37,091 111,274 55,637 166,912 83,456 41,728 20,864 10,432 5,216 2,608 1,304 652 326 163 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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