1,792,968

2³ × 3 × 74707

1,792,968 factors as 2^3 × 3 × 74707. Its 16 positive divisors give a proper-divisor sum of 2,689,512, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 74707

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,482,480

Proper Divisor Sum 2,689,512

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #1792957 ← → #1792979

Radix Representation

Decimal	1792968
Binary	110110101101111001000 (21 bits)
Octal	0o6655710
Hexadecimal	0x1B5BC8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 74,707 149,414 224,121 298,828 448,242 597,656 896,484 1,792,968

Collatz Trajectory (127 steps to reach 1)

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

1,792,968 896,484 448,242 224,121 672,364 336,182 168,091 504,274 252,137 756,412 378,206 189,103 567,310 283,655 850,966 425,483 1,276,450 638,225 1,914,676 957,338 478,669 1,436,008 718,004 359,002 179,501 538,504 269,252 134,626 67,313 201,940 100,970 50,485 151,456 75,728 37,864 18,932 9,466 4,733 14,200 7,100 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380

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