7,742,068

2² × 1935517

7,742,068 factors as 2^2 × 1935517. Its 6 positive divisors give a proper-divisor sum of 5,806,558, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^2 × 1935517

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 13,548,626

Proper Divisor Sum 5,806,558

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #7742041 ← → #7742069

Radix Representation

Decimal	7742068
Binary	11101100010001001110100 (23 bits)
Octal	0o35421164
Hexadecimal	0x762274

Divisor Catalog (6)

1 2 4 1,935,517 3,871,034 7,742,068

Collatz Trajectory (98 steps to reach 1)

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

7,742,068 3,871,034 1,935,517 5,806,552 2,903,276 1,451,638 725,819 2,177,458 1,088,729 3,266,188 1,633,094 816,547 2,449,642 1,224,821 3,674,464 1,837,232 918,616 459,308 229,654 114,827 344,482 172,241 516,724 258,362 129,181 387,544 193,772 96,886 48,443 145,330 72,665 217,996 108,998 54,499 163,498 81,749 245,248 122,624 61,312 30,656 15,328 7,664 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367

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