1,607,751

3² × 178639

1,607,751 factors as 3^2 × 178639. Its 6 positive divisors give a proper-divisor sum of 714,569, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3^2 × 178639

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 2,322,320

Proper Divisor Sum 714,569

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1607747 ← → #1607773

Radix Representation

Decimal	1607751
Binary	110001000100001000111 (21 bits)
Octal	0o6104107
Hexadecimal	0x188847

Divisor Catalog (6)

1 3 9 178,639 535,917 1,607,751

Collatz Trajectory (145 steps to reach 1)

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

1,607,751 4,823,254 2,411,627 7,234,882 3,617,441 10,852,324 5,426,162 2,713,081 8,139,244 4,069,622 2,034,811 6,104,434 3,052,217 9,156,652 4,578,326 2,289,163 6,867,490 3,433,745 10,301,236 5,150,618 2,575,309 7,725,928 3,862,964 1,931,482 965,741 2,897,224 1,448,612 724,306 362,153 1,086,460 543,230 271,615 814,846 407,423 1,222,270 611,135 1,833,406 916,703 2,750,110 1,375,055 4,125,166 2,062,583 6,187,750 3,093,875 9,281,626 4,640,813 13,922,440 6,961,220 3,480,610 1,740,305 5,220,916 2,610,458 1,305,229 3,915,688 1,957,844 978,922 489,461 1,468,384 734,192 367,096

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