5,200,741

7 × 13 × 67 × 853

5,200,741 factors as 7 × 13 × 67 × 853. Its 16 positive divisors give a proper-divisor sum of 1,303,323, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 7 × 13 × 67 × 853

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,504,064

Proper Divisor Sum 1,303,323

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #5200729 ← → #5200751

Radix Representation

Decimal	5200741
Binary	10011110101101101100101 (23 bits)
Octal	0o23655545
Hexadecimal	0x4F5B65

Divisor Catalog (16)

1 7 13 67 91 469 853 871 5,971 6,097 11,089 57,151 77,623 400,057 742,963 5,200,741

Collatz Trajectory (157 steps to reach 1)

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

5,200,741 15,602,224 7,801,112 3,900,556 1,950,278 975,139 2,925,418 1,462,709 4,388,128 2,194,064 1,097,032 548,516 274,258 137,129 411,388 205,694 102,847 308,542 154,271 462,814 231,407 694,222 347,111 1,041,334 520,667 1,562,002 781,001 2,343,004 1,171,502 585,751 1,757,254 878,627 2,635,882 1,317,941 3,953,824 1,976,912 988,456 494,228 247,114 123,557 370,672 185,336 92,668 46,334 23,167 69,502 34,751 104,254 52,127 156,382 78,191 234,574 117,287 351,862 175,931 527,794 263,897 791,692 395,846 197,923

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