997,009

13 × 271 × 283

Starting at 997,009, the Collatz iteration reaches 1 after 77 steps. The first transition is 2991028; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 13 × 271 × 283

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,081,472

Proper Divisor Sum 84,463

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #997001 ← → #997013

Radix Representation

Decimal	997009
Binary	11110011011010010001 (20 bits)
Octal	0o3633221
Hexadecimal	0xF3691

Divisor Catalog (8)

1 13 271 283 3,523 3,679 76,693 997,009

Collatz Trajectory (77 steps to reach 1)

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

997,009 2,991,028 1,495,514 747,757 2,243,272 1,121,636 560,818 280,409 841,228 420,614 210,307 630,922 315,461 946,384 473,192 236,596 118,298 59,149 177,448 88,724 44,362 22,181 66,544 33,272 16,636 8,318 4,159 12,478 6,239 18,718 9,359 28,078 14,039 42,118 21,059 63,178 31,589 94,768 47,384 23,692 11,846 5,923 17,770 8,885 26,656 13,328 6,664 3,332 1,666 833 2,500 1,250 625 1,876 938 469 1,408 704 352 176

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