λ
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Atlas › Integer Profiles › Node 18,075,004

18,075,004

22 × 19 × 29 × 59 × 139
Deficient Even Composite

18,075,004 factors as 2^2 × 19 × 29 × 59 × 139. Its 48 positive divisors give a proper-divisor sum of 17,204,996, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 29 × 59 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 35,280,000
Proper Divisor Sum 17,204,996
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #18074999 ← → #18075011

Radix Representation

Decimal 18075004
Binary 1000100111100110101111100 (25 bits)
Octal 0o104746574
Hexadecimal 0x113CD7C

Divisor Catalog (48)

1 2 4 19 29 38 58 59 76 116 118 139 236 278 551 556 1,102 1,121 1,711 2,204 2,242 2,641 3,422 4,031 4,484 5,282 6,844 8,062 8,201 10,564 16,124 16,402 32,509 32,804 65,018 76,589 130,036 153,178 155,819 237,829 306,356 311,638 475,658 623,276 951,316 4,518,751 9,037,502 18,075,004

Collatz Trajectory (164 steps to reach 1)

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

18,075,004 9,037,502 4,518,751 13,556,254 6,778,127 20,334,382 10,167,191 30,501,574 15,250,787 45,752,362 22,876,181 68,628,544 34,314,272 17,157,136 8,578,568 4,289,284 2,144,642 1,072,321 3,216,964 1,608,482 804,241 2,412,724 1,206,362 603,181 1,809,544 904,772 452,386 226,193 678,580 339,290 169,645 508,936 254,468 127,234 63,617 190,852 95,426 47,713 143,140 71,570 35,785 107,356 53,678 26,839 80,518 40,259 120,778 60,389 181,168 90,584 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218 19,109

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