279,227

13 × 47 × 457

Starting at 279,227, the Collatz iteration reaches 1 after 114 steps. The first transition is 837682; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 47 × 457

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 307,776

Proper Divisor Sum 28,549

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #279221 ← → #279269

Radix Representation

Decimal	279227
Binary	1000100001010111011 (19 bits)
Octal	0o1041273
Hexadecimal	0x442BB

Divisor Catalog (8)

1 13 47 457 611 5,941 21,479 279,227

Collatz Trajectory (114 steps to reach 1)

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

279,227 837,682 418,841 1,256,524 628,262 314,131 942,394 471,197 1,413,592 706,796 353,398 176,699 530,098 265,049 795,148 397,574 198,787 596,362 298,181 894,544 447,272 223,636 111,818 55,909 167,728 83,864 41,932 20,966 10,483 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631

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