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Atlas › Integer Profiles › Node 17,512,125

17,512,125

3 × 53 × 17 × 41 × 67
Deficient Odd Composite

17,512,125 factors as 3 × 5^3 × 17 × 41 × 67. Its 64 positive divisors give a proper-divisor sum of 14,566,467, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3 × 5^3 × 17 × 41 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 32,078,592
Proper Divisor Sum 14,566,467
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #17512111 ← → #17512127

Radix Representation

Decimal 17512125
Binary 1000010110011011010111101 (25 bits)
Octal 0o102633275
Hexadecimal 0x10B36BD

Divisor Catalog (60 of 64)

1 3 5 15 17 25 41 51 67 75 85 123 125 201 205 255 335 375 425 615 697 1,005 1,025 1,139 1,275 1,675 2,091 2,125 2,747 3,075 3,417 3,485 5,025 5,125 5,695 6,375 8,241 8,375 10,455 13,735 15,375 17,085 17,425 25,125 28,475 41,205 46,699 52,275 68,675 85,425 87,125 140,097 142,375 206,025 233,495 261,375 343,375 427,125 700,485 1,030,125

Collatz Trajectory (200 steps to reach 1)

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

17,512,125 52,536,376 26,268,188 13,134,094 6,567,047 19,701,142 9,850,571 29,551,714 14,775,857 44,327,572 22,163,786 11,081,893 33,245,680 16,622,840 8,311,420 4,155,710 2,077,855 6,233,566 3,116,783 9,350,350 4,675,175 14,025,526 7,012,763 21,038,290 10,519,145 31,557,436 15,778,718 7,889,359 23,668,078 11,834,039 35,502,118 17,751,059 53,253,178 26,626,589 79,879,768 39,939,884 19,969,942 9,984,971 29,954,914 14,977,457 44,932,372 22,466,186 11,233,093 33,699,280 16,849,640 8,424,820 4,212,410 2,106,205 6,318,616 3,159,308 1,579,654 789,827 2,369,482 1,184,741 3,554,224 1,777,112 888,556 444,278 222,139 666,418

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