1,735,442

2 × 23 × 31 × 1217

1,735,442 factors as 2 × 23 × 31 × 1217. Its 16 positive divisors give a proper-divisor sum of 1,070,830, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 2 × 23 × 31 × 1217

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,806,272

Proper Divisor Sum 1,070,830

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #1735423 ← → #1735463

Radix Representation

Decimal	1735442
Binary	110100111101100010010 (21 bits)
Octal	0o6475422
Hexadecimal	0x1A7B12

Divisor Catalog (16)

1 2 23 31 46 62 713 1,217 1,426 2,434 27,991 37,727 55,982 75,454 867,721 1,735,442

Collatz Trajectory (70 steps to reach 1)

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

1,735,442 867,721 2,603,164 1,301,582 650,791 1,952,374 976,187 2,928,562 1,464,281 4,392,844 2,196,422 1,098,211 3,294,634 1,647,317 4,941,952 2,470,976 1,235,488 617,744 308,872 154,436 77,218 38,609 115,828 57,914 28,957 86,872 43,436 21,718 10,859 32,578 16,289 48,868 24,434 12,217 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732 3,866 1,933 5,800 2,900 1,450 725 2,176 1,088 544 272 136 68 34 17 52

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