5,209,701

3 × 7 × 17 × 14593

5,209,701 factors as 3 × 7 × 17 × 14593. Its 16 positive divisors give a proper-divisor sum of 3,196,443, so this integer is deficient. The Collatz stopping time is 188 steps.

Prime Factor Structure

Factorization String 3 × 7 × 17 × 14593

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 8,406,144

Proper Divisor Sum 3,196,443

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #5209679 ← → #5209709

Radix Representation

Decimal	5209701
Binary	10011110111111001100101 (23 bits)
Octal	0o23677145
Hexadecimal	0x4F7E65

Divisor Catalog (16)

1 3 7 17 21 51 119 357 14,593 43,779 102,151 248,081 306,453 744,243 1,736,567 5,209,701

Collatz Trajectory (188 steps to reach 1)

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

5,209,701 15,629,104 7,814,552 3,907,276 1,953,638 976,819 2,930,458 1,465,229 4,395,688 2,197,844 1,098,922 549,461 1,648,384 824,192 412,096 206,048 103,024 51,512 25,756 12,878 6,439 19,318 9,659 28,978 14,489 43,468 21,734 10,867 32,602 16,301 48,904 24,452 12,226 6,113 18,340 9,170 4,585 13,756 6,878 3,439 10,318 5,159 15,478 7,739 23,218 11,609 34,828 17,414 8,707 26,122 13,061 39,184 19,592 9,796 4,898 2,449 7,348 3,674 1,837 5,512

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