444,754

2 × 17 × 103 × 127

Starting at 444,754, the Collatz iteration reaches 1 after 262 steps. The first transition is 222377; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17 × 103 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 718,848

Proper Divisor Sum 274,094

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #444739 ← → #444767

Radix Representation

Decimal	444754
Binary	1101100100101010010 (19 bits)
Octal	0o1544522
Hexadecimal	0x6C952

Divisor Catalog (16)

1 2 17 34 103 127 206 254 1,751 2,159 3,502 4,318 13,081 26,162 222,377 444,754

Collatz Trajectory (262 steps to reach 1)

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

444,754 222,377 667,132 333,566 166,783 500,350 250,175 750,526 375,263 1,125,790 562,895 1,688,686 844,343 2,533,030 1,266,515 3,799,546 1,899,773 5,699,320 2,849,660 1,424,830 712,415 2,137,246 1,068,623 3,205,870 1,602,935 4,808,806 2,404,403 7,213,210 3,606,605 10,819,816 5,409,908 2,704,954 1,352,477 4,057,432 2,028,716 1,014,358 507,179 1,521,538 760,769 2,282,308 1,141,154 570,577 1,711,732 855,866 427,933 1,283,800 641,900 320,950 160,475 481,426 240,713 722,140 361,070 180,535 541,606 270,803 812,410 406,205 1,218,616 609,308

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