1,739,075

5² × 13 × 5351

Starting at 1,739,075, the Collatz iteration reaches 1 after 220 steps. The first transition is 5217226; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 13 × 5351

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,322,768

Proper Divisor Sum 583,693

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1739063 ← → #1739147

Radix Representation

Decimal	1739075
Binary	110101000100101000011 (21 bits)
Octal	0o6504503
Hexadecimal	0x1A8943

Divisor Catalog (12)

1 5 13 25 65 325 5,351 26,755 69,563 133,775 347,815 1,739,075

Collatz Trajectory (220 steps to reach 1)

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

1,739,075 5,217,226 2,608,613 7,825,840 3,912,920 1,956,460 978,230 489,115 1,467,346 733,673 2,201,020 1,100,510 550,255 1,650,766 825,383 2,476,150 1,238,075 3,714,226 1,857,113 5,571,340 2,785,670 1,392,835 4,178,506 2,089,253 6,267,760 3,133,880 1,566,940 783,470 391,735 1,175,206 587,603 1,762,810 881,405 2,644,216 1,322,108 661,054 330,527 991,582 495,791 1,487,374 743,687 2,231,062 1,115,531 3,346,594 1,673,297 5,019,892 2,509,946 1,254,973 3,764,920 1,882,460 941,230 470,615 1,411,846 705,923 2,117,770 1,058,885 3,176,656 1,588,328 794,164 397,082

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