1,782,781

7 × 11 × 13² × 137

Starting at 1,782,781, the Collatz iteration reaches 1 after 171 steps. The first transition is 5348344; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 13^2 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,424,384

Proper Divisor Sum 641,603

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #1782769 ← → #1782791

Radix Representation

Decimal	1782781
Binary	110110011001111111101 (21 bits)
Octal	0o6631775
Hexadecimal	0x1B33FD

Divisor Catalog (24)

1 7 11 13 77 91 137 143 169 959 1,001 1,183 1,507 1,781 1,859 10,549 12,467 13,013 19,591 23,153 137,137 162,071 254,683 1,782,781

Collatz Trajectory (171 steps to reach 1)

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

1,782,781 5,348,344 2,674,172 1,337,086 668,543 2,005,630 1,002,815 3,008,446 1,504,223 4,512,670 2,256,335 6,769,006 3,384,503 10,153,510 5,076,755 15,230,266 7,615,133 22,845,400 11,422,700 5,711,350 2,855,675 8,567,026 4,283,513 12,850,540 6,425,270 3,212,635 9,637,906 4,818,953 14,456,860 7,228,430 3,614,215 10,842,646 5,421,323 16,263,970 8,131,985 24,395,956 12,197,978 6,098,989 18,296,968 9,148,484 4,574,242 2,287,121 6,861,364 3,430,682 1,715,341 5,146,024 2,573,012 1,286,506 643,253 1,929,760 964,880 482,440 241,220 120,610 60,305 180,916 90,458 45,229 135,688 67,844

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