λ
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Atlas › Integer Profiles › Node 17,570,878

17,570,878

2 × 13 × 41 × 53 × 311
Deficient Even Composite

17,570,878 factors as 2 × 13 × 41 × 53 × 311. Its 32 positive divisors give a proper-divisor sum of 12,148,994, so this integer is deficient. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2 × 13 × 41 × 53 × 311
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,719,872
Proper Divisor Sum 12,148,994
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #17570857 ← → #17570879

Radix Representation

Decimal 17570878
Binary 1000011000001110000111110 (25 bits)
Octal 0o103016076
Hexadecimal 0x10C1C3E

Divisor Catalog (32)

1 2 13 26 41 53 82 106 311 533 622 689 1,066 1,378 2,173 4,043 4,346 8,086 12,751 16,483 25,502 28,249 32,966 56,498 165,763 214,279 331,526 428,558 675,803 1,351,606 8,785,439 17,570,878

Collatz Trajectory (125 steps to reach 1)

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

17,570,878 8,785,439 26,356,318 13,178,159 39,534,478 19,767,239 59,301,718 29,650,859 88,952,578 44,476,289 133,428,868 66,714,434 33,357,217 100,071,652 50,035,826 25,017,913 75,053,740 37,526,870 18,763,435 56,290,306 28,145,153 84,435,460 42,217,730 21,108,865 63,326,596 31,663,298 15,831,649 47,494,948 23,747,474 11,873,737 35,621,212 17,810,606 8,905,303 26,715,910 13,357,955 40,073,866 20,036,933 60,110,800 30,055,400 15,027,700 7,513,850 3,756,925 11,270,776 5,635,388 2,817,694 1,408,847 4,226,542 2,113,271 6,339,814 3,169,907 9,509,722 4,754,861 14,264,584 7,132,292 3,566,146 1,783,073 5,349,220 2,674,610 1,337,305 4,011,916

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