9,082,003

7² × 73 × 2539

9,082,003 factors as 7^2 × 73 × 2539. Its 12 positive divisors give a proper-divisor sum of 1,631,717, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 7^2 × 73 × 2539

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 10,713,720

Proper Divisor Sum 1,631,717

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #9081991 ← → #9082049

Radix Representation

Decimal	9082003
Binary	100010101001010010010011 (24 bits)
Octal	0o42512223
Hexadecimal	0x8A9493

Divisor Catalog (12)

1 7 49 73 511 2,539 3,577 17,773 124,411 185,347 1,297,429 9,082,003

Collatz Trajectory (256 steps to reach 1)

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

9,082,003 27,246,010 13,623,005 40,869,016 20,434,508 10,217,254 5,108,627 15,325,882 7,662,941 22,988,824 11,494,412 5,747,206 2,873,603 8,620,810 4,310,405 12,931,216 6,465,608 3,232,804 1,616,402 808,201 2,424,604 1,212,302 606,151 1,818,454 909,227 2,727,682 1,363,841 4,091,524 2,045,762 1,022,881 3,068,644 1,534,322 767,161 2,301,484 1,150,742 575,371 1,726,114 863,057 2,589,172 1,294,586 647,293 1,941,880 970,940 485,470 242,735 728,206 364,103 1,092,310 546,155 1,638,466 819,233 2,457,700 1,228,850 614,425 1,843,276 921,638 460,819 1,382,458 691,229 2,073,688

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