981,799

7 × 13 × 10789

Starting at 981,799, the Collatz iteration reaches 1 after 152 steps. The first transition is 2945398; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 7 × 13 × 10789

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,208,480

Proper Divisor Sum 226,681

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #981797 ← → #981809

Radix Representation

Decimal	981799
Binary	11101111101100100111 (20 bits)
Octal	0o3575447
Hexadecimal	0xEFB27

Divisor Catalog (8)

1 7 13 91 10,789 75,523 140,257 981,799

Collatz Trajectory (152 steps to reach 1)

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

981,799 2,945,398 1,472,699 4,418,098 2,209,049 6,627,148 3,313,574 1,656,787 4,970,362 2,485,181 7,455,544 3,727,772 1,863,886 931,943 2,795,830 1,397,915 4,193,746 2,096,873 6,290,620 3,145,310 1,572,655 4,717,966 2,358,983 7,076,950 3,538,475 10,615,426 5,307,713 15,923,140 7,961,570 3,980,785 11,942,356 5,971,178 2,985,589 8,956,768 4,478,384 2,239,192 1,119,596 559,798 279,899 839,698 419,849 1,259,548 629,774 314,887 944,662 472,331 1,416,994 708,497 2,125,492 1,062,746 531,373 1,594,120 797,060 398,530 199,265 597,796 298,898 149,449 448,348 224,174

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