491,953

7 × 11 × 6389

Starting at 491,953, the Collatz iteration reaches 1 after 63 steps. The first transition is 1475860; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 6389

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 613,440

Proper Divisor Sum 121,487

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #491951 ← → #491969

Radix Representation

Decimal	491953
Binary	1111000000110110001 (19 bits)
Octal	0o1700661
Hexadecimal	0x781B1

Divisor Catalog (8)

1 7 11 77 6,389 44,723 70,279 491,953

Collatz Trajectory (63 steps to reach 1)

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

491,953 1,475,860 737,930 368,965 1,106,896 553,448 276,724 138,362 69,181 207,544 103,772 51,886 25,943 77,830 38,915 116,746 58,373 175,120 87,560 43,780 21,890 10,945 32,836 16,418 8,209 24,628 12,314 6,157 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16

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