5,209,841

7 × 13 × 57251

5,209,841 factors as 7 × 13 × 57251. Its 8 positive divisors give a proper-divisor sum of 1,202,383, so this integer is deficient. The Collatz stopping time is 69 steps.

Prime Factor Structure

Factorization String 7 × 13 × 57251

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,412,224

Proper Divisor Sum 1,202,383

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #5209823 ← → #5209849

Radix Representation

Decimal	5209841
Binary	10011110111111011110001 (23 bits)
Octal	0o23677361
Hexadecimal	0x4F7EF1

Divisor Catalog (8)

1 7 13 91 57,251 400,757 744,263 5,209,841

Collatz Trajectory (69 steps to reach 1)

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

5,209,841 15,629,524 7,814,762 3,907,381 11,722,144 5,861,072 2,930,536 1,465,268 732,634 366,317 1,098,952 549,476 274,738 137,369 412,108 206,054 103,027 309,082 154,541 463,624 231,812 115,906 57,953 173,860 86,930 43,465 130,396 65,198 32,599 97,798 48,899 146,698 73,349 220,048 110,024 55,012 27,506 13,753 41,260 20,630 10,315 30,946 15,473 46,420 23,210 11,605 34,816 17,408 8,704 4,352 2,176 1,088 544 272 136 68 34 17 52 26

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