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Atlas › Integer Profiles › Node 17,512,210

17,512,210

2 × 5 × 17 × 31 × 3323
Deficient Even Composite

17,512,210 factors as 2 × 5 × 17 × 31 × 3323. Its 32 positive divisors give a proper-divisor sum of 16,951,022, so this integer is deficient. The Collatz stopping time is 244 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 31 × 3323
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 34,463,232
Proper Divisor Sum 16,951,022
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #17512151 ← → #17512213

Radix Representation

Decimal 17512210
Binary 1000010110011011100010010 (25 bits)
Octal 0o102633422
Hexadecimal 0x10B3712

Divisor Catalog (32)

1 2 5 10 17 31 34 62 85 155 170 310 527 1,054 2,635 3,323 5,270 6,646 16,615 33,230 56,491 103,013 112,982 206,026 282,455 515,065 564,910 1,030,130 1,751,221 3,502,442 8,756,105 17,512,210

Collatz Trajectory (244 steps to reach 1)

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

17,512,210 8,756,105 26,268,316 13,134,158 6,567,079 19,701,238 9,850,619 29,551,858 14,775,929 44,327,788 22,163,894 11,081,947 33,245,842 16,622,921 49,868,764 24,934,382 12,467,191 37,401,574 18,700,787 56,102,362 28,051,181 84,153,544 42,076,772 21,038,386 10,519,193 31,557,580 15,778,790 7,889,395 23,668,186 11,834,093 35,502,280 17,751,140 8,875,570 4,437,785 13,313,356 6,656,678 3,328,339 9,985,018 4,992,509 14,977,528 7,488,764 3,744,382 1,872,191 5,616,574 2,808,287 8,424,862 4,212,431 12,637,294 6,318,647 18,955,942 9,477,971 28,433,914 14,216,957 42,650,872 21,325,436 10,662,718 5,331,359 15,994,078 7,997,039 23,991,118

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