1,746,437

7 × 11 × 37 × 613

1,746,437 factors as 7 × 11 × 37 × 613. Its 16 positive divisors give a proper-divisor sum of 493,435, so this integer is deficient. The Collatz stopping time is 70 steps.

Prime Factor Structure

Factorization String 7 × 11 × 37 × 613

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,239,872

Proper Divisor Sum 493,435

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1746421 ← → #1746439

Radix Representation

Decimal	1746437
Binary	110101010011000000101 (21 bits)
Octal	0o6523005
Hexadecimal	0x1AA605

Divisor Catalog (16)

1 7 11 37 77 259 407 613 2,849 4,291 6,743 22,681 47,201 158,767 249,491 1,746,437

Collatz Trajectory (70 steps to reach 1)

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

1,746,437 5,239,312 2,619,656 1,309,828 654,914 327,457 982,372 491,186 245,593 736,780 368,390 184,195 552,586 276,293 828,880 414,440 207,220 103,610 51,805 155,416 77,708 38,854 19,427 58,282 29,141 87,424 43,712 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53

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