λ
Sequence Observatory

9,002,623

72 × 269 × 683
Deficient Odd Composite

Starting at 9,002,623, the Collatz iteration reaches 1 after 168 steps. The first transition is 27007870; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 269 × 683
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,526,760
Proper Divisor Sum 1,524,137
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #9002621 ← → #9002629

Radix Representation

Decimal 9002623
Binary 100010010101111001111111 (24 bits)
Octal 0o42257177
Hexadecimal 0x895E7F

Divisor Catalog (12)

1 7 49 269 683 1,883 4,781 13,181 33,467 183,727 1,286,089 9,002,623

Collatz Trajectory (168 steps to reach 1)

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

9,002,623 27,007,870 13,503,935 40,511,806 20,255,903 60,767,710 30,383,855 91,151,566 45,575,783 136,727,350 68,363,675 205,091,026 102,545,513 307,636,540 153,818,270 76,909,135 230,727,406 115,363,703 346,091,110 173,045,555 519,136,666 259,568,333 778,705,000 389,352,500 194,676,250 97,338,125 292,014,376 146,007,188 73,003,594 36,501,797 109,505,392 54,752,696 27,376,348 13,688,174 6,844,087 20,532,262 10,266,131 30,798,394 15,399,197 46,197,592 23,098,796 11,549,398 5,774,699 17,324,098 8,662,049 25,986,148 12,993,074 6,496,537 19,489,612 9,744,806 4,872,403 14,617,210 7,308,605 21,925,816 10,962,908 5,481,454 2,740,727 8,222,182 4,111,091 12,333,274

More profiles

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