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Atlas › Integer Profiles › Node 17,501,812

17,501,812

22 × 19 × 421 × 547
Deficient Even Composite

17,501,812 factors as 2^2 × 19 × 421 × 547. Its 24 positive divisors give a proper-divisor sum of 14,874,028, so this integer is deficient. The Collatz stopping time is 89 steps.

Prime Factor Structure

Factorization String 2^2 × 19 × 421 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 32,375,840
Proper Divisor Sum 14,874,028
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #17501797 ← → #17501821

Radix Representation

Decimal 17501812
Binary 1000010110000111001110100 (25 bits)
Octal 0o102607164
Hexadecimal 0x10B0E74

Divisor Catalog (24)

1 2 4 19 38 76 421 547 842 1,094 1,684 2,188 7,999 10,393 15,998 20,786 31,996 41,572 230,287 460,574 921,148 4,375,453 8,750,906 17,501,812

Collatz Trajectory (89 steps to reach 1)

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

17,501,812 8,750,906 4,375,453 13,126,360 6,563,180 3,281,590 1,640,795 4,922,386 2,461,193 7,383,580 3,691,790 1,845,895 5,537,686 2,768,843 8,306,530 4,153,265 12,459,796 6,229,898 3,114,949 9,344,848 4,672,424 2,336,212 1,168,106 584,053 1,752,160 876,080 438,040 219,020 109,510 54,755 164,266 82,133 246,400 123,200 61,600 30,800 15,400 7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86

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