λ
Sequence Observatory

9,002,173

709 × 12697
Deficient Odd Composite

Starting at 9,002,173, the Collatz iteration reaches 1 after 111 steps. The first transition is 27006520; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 709 × 12697
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,015,580
Proper Divisor Sum 13,407
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9002171 ← → #9002233

Radix Representation

Decimal 9002173
Binary 100010010101110010111101 (24 bits)
Octal 0o42256275
Hexadecimal 0x895CBD

Divisor Catalog (4)

1 709 12,697 9,002,173

Collatz Trajectory (111 steps to reach 1)

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

9,002,173 27,006,520 13,503,260 6,751,630 3,375,815 10,127,446 5,063,723 15,191,170 7,595,585 22,786,756 11,393,378 5,696,689 17,090,068 8,545,034 4,272,517 12,817,552 6,408,776 3,204,388 1,602,194 801,097 2,403,292 1,201,646 600,823 1,802,470 901,235 2,703,706 1,351,853 4,055,560 2,027,780 1,013,890 506,945 1,520,836 760,418 380,209 1,140,628 570,314 285,157 855,472 427,736 213,868 106,934 53,467 160,402 80,201 240,604 120,302 60,151 180,454 90,227 270,682 135,341 406,024 203,012 101,506 50,753 152,260 76,130 38,065 114,196 57,098

More profiles

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