λ
Math Directory

5,010,171

3 × 1670057
Deficient Odd Composite

5,010,171 factors as 3 × 1670057. Its 4 positive divisors give a proper-divisor sum of 1,670,061, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 3 × 1670057
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,680,232
Proper Divisor Sum 1,670,061
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #5010169 ← → #5010217

Radix Representation

Decimal 5010171
Binary 10011000111001011111011 (23 bits)
Octal 0o23071373
Hexadecimal 0x4C72FB

Divisor Catalog (4)

1 3 1,670,057 5,010,171

Collatz Trajectory (162 steps to reach 1)

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

5,010,171 15,030,514 7,515,257 22,545,772 11,272,886 5,636,443 16,909,330 8,454,665 25,363,996 12,681,998 6,340,999 19,022,998 9,511,499 28,534,498 14,267,249 42,801,748 21,400,874 10,700,437 32,101,312 16,050,656 8,025,328 4,012,664 2,006,332 1,003,166 501,583 1,504,750 752,375 2,257,126 1,128,563 3,385,690 1,692,845 5,078,536 2,539,268 1,269,634 634,817 1,904,452 952,226 476,113 1,428,340 714,170 357,085 1,071,256 535,628 267,814 133,907 401,722 200,861 602,584 301,292 150,646 75,323 225,970 112,985 338,956 169,478 84,739 254,218 127,109 381,328 190,664

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