18,005,002

2 × 9002501

18,005,002 factors as 2 × 9002501. Its 4 positive divisors give a proper-divisor sum of 9,002,504, so this integer is deficient. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2 × 9002501

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 27,007,506

Proper Divisor Sum 9,002,504

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #18004999 ← → #18005041

Radix Representation

Decimal	18005002
Binary	1000100101011110000001010 (25 bits)
Octal	0o104536012
Hexadecimal	0x112BC0A

Divisor Catalog (4)

1 2 9,002,501 18,005,002

Collatz Trajectory (112 steps to reach 1)

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

18,005,002 9,002,501 27,007,504 13,503,752 6,751,876 3,375,938 1,687,969 5,063,908 2,531,954 1,265,977 3,797,932 1,898,966 949,483 2,848,450 1,424,225 4,272,676 2,136,338 1,068,169 3,204,508 1,602,254 801,127 2,403,382 1,201,691 3,605,074 1,802,537 5,407,612 2,703,806 1,351,903 4,055,710 2,027,855 6,083,566 3,041,783 9,125,350 4,562,675 13,688,026 6,844,013 20,532,040 10,266,020 5,133,010 2,566,505 7,699,516 3,849,758 1,924,879 5,774,638 2,887,319 8,661,958 4,330,979 12,992,938 6,496,469 19,489,408 9,744,704 4,872,352 2,436,176 1,218,088 609,044 304,522 152,261 456,784 228,392 114,196

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