17,512,075

5² × 7 × 100069

17,512,075 factors as 5^2 × 7 × 100069. Its 12 positive divisors give a proper-divisor sum of 7,305,285, so this integer is deficient. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 5^2 × 7 × 100069

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 24,817,360

Proper Divisor Sum 7,305,285

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #17512073 ← → #17512097

Radix Representation

Decimal	17512075
Binary	1000010110011011010001011 (25 bits)
Octal	0o102633213
Hexadecimal	0x10B368B

Divisor Catalog (12)

1 5 7 25 35 175 100,069 500,345 700,483 2,501,725 3,502,415 17,512,075

Collatz Trajectory (169 steps to reach 1)

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

17,512,075 52,536,226 26,268,113 78,804,340 39,402,170 19,701,085 59,103,256 29,551,628 14,775,814 7,387,907 22,163,722 11,081,861 33,245,584 16,622,792 8,311,396 4,155,698 2,077,849 6,233,548 3,116,774 1,558,387 4,675,162 2,337,581 7,012,744 3,506,372 1,753,186 876,593 2,629,780 1,314,890 657,445 1,972,336 986,168 493,084 246,542 123,271 369,814 184,907 554,722 277,361 832,084 416,042 208,021 624,064 312,032 156,016 78,008 39,004 19,502 9,751 29,254 14,627 43,882 21,941 65,824 32,912 16,456 8,228 4,114 2,057 6,172 3,086

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