851,967

3² × 181 × 523

Starting at 851,967, the Collatz iteration reaches 1 after 131 steps. The first transition is 2555902; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 181 × 523

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,239,784

Proper Divisor Sum 387,817

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #851957 ← → #851971

Radix Representation

Decimal	851967
Binary	11001111111111111111 (20 bits)
Octal	0o3177777
Hexadecimal	0xCFFFF

Divisor Catalog (12)

1 3 9 181 523 543 1,569 1,629 4,707 94,663 283,989 851,967

Collatz Trajectory (131 steps to reach 1)

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

851,967 2,555,902 1,277,951 3,833,854 1,916,927 5,750,782 2,875,391 8,626,174 4,313,087 12,939,262 6,469,631 19,408,894 9,704,447 29,113,342 14,556,671 43,670,014 21,835,007 65,505,022 32,752,511 98,257,534 49,128,767 147,386,302 73,693,151 221,079,454 110,539,727 331,619,182 165,809,591 497,428,774 248,714,387 746,143,162 373,071,581 1,119,214,744 559,607,372 279,803,686 139,901,843 419,705,530 209,852,765 629,558,296 314,779,148 157,389,574 78,694,787 236,084,362 118,042,181 354,126,544 177,063,272 88,531,636 44,265,818 22,132,909 66,398,728 33,199,364 16,599,682 8,299,841 24,899,524 12,449,762 6,224,881 18,674,644 9,337,322 4,668,661 14,005,984 7,002,992

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