1,024,335

3² × 5 × 13 × 17 × 103

Starting at 1,024,335, the Collatz iteration reaches 1 after 258 steps. The first transition is 3073006; the starting value is odd with 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 13 × 17 × 103

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 2,044,224

Proper Divisor Sum 1,019,889

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1024327 ← → #1024337

Radix Representation

Decimal	1024335
Binary	11111010000101001111 (20 bits)
Octal	0o3720517
Hexadecimal	0xFA14F

Divisor Catalog (48)

1 3 5 9 13 15 17 39 45 51 65 85 103 117 153 195 221 255 309 515 585 663 765 927 1,105 1,339 1,545 1,751 1,989 3,315 4,017 4,635 5,253 6,695 8,755 9,945 12,051 15,759 20,085 22,763 26,265 60,255 68,289 78,795 113,815 204,867 341,445 1,024,335

Collatz Trajectory (258 steps to reach 1)

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

1,024,335 3,073,006 1,536,503 4,609,510 2,304,755 6,914,266 3,457,133 10,371,400 5,185,700 2,592,850 1,296,425 3,889,276 1,944,638 972,319 2,916,958 1,458,479 4,375,438 2,187,719 6,563,158 3,281,579 9,844,738 4,922,369 14,767,108 7,383,554 3,691,777 11,075,332 5,537,666 2,768,833 8,306,500 4,153,250 2,076,625 6,229,876 3,114,938 1,557,469 4,672,408 2,336,204 1,168,102 584,051 1,752,154 876,077 2,628,232 1,314,116 657,058 328,529 985,588 492,794 246,397 739,192 369,596 184,798 92,399 277,198 138,599 415,798 207,899 623,698 311,849 935,548 467,774 233,887

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