7,345,442

2 × 13 × 47 × 6011

7,345,442 factors as 2 × 13 × 47 × 6011. Its 16 positive divisors give a proper-divisor sum of 4,774,750, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 2 × 13 × 47 × 6011

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,120,192

Proper Divisor Sum 4,774,750

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #7345433 ← → #7345451

Radix Representation

Decimal	7345442
Binary	11100000001010100100010 (23 bits)
Octal	0o34012442
Hexadecimal	0x701522

Divisor Catalog (16)

1 2 13 26 47 94 611 1,222 6,011 12,022 78,143 156,286 282,517 565,034 3,672,721 7,345,442

Collatz Trajectory (111 steps to reach 1)

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

7,345,442 3,672,721 11,018,164 5,509,082 2,754,541 8,263,624 4,131,812 2,065,906 1,032,953 3,098,860 1,549,430 774,715 2,324,146 1,162,073 3,486,220 1,743,110 871,555 2,614,666 1,307,333 3,922,000 1,961,000 980,500 490,250 245,125 735,376 367,688 183,844 91,922 45,961 137,884 68,942 34,471 103,414 51,707 155,122 77,561 232,684 116,342 58,171 174,514 87,257 261,772 130,886 65,443 196,330 98,165 294,496 147,248 73,624 36,812 18,406 9,203 27,610 13,805 41,416 20,708 10,354 5,177 15,532 7,766

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