5,311,188

2² × 3² × 43 × 47 × 73

5,311,188 has digital root 9. The neighboring primes are 5311171 and 5311217; its proper-divisor sum differs from the starting integer by 3,599,832.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 43 × 47 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 14,222,208

Proper Divisor Sum 8,911,020

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5311171 ← → #5311217

Radix Representation

Decimal	5311188
Binary	10100010000101011010100 (23 bits)
Octal	0o24205324
Hexadecimal	0x510AD4

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 18 36 43 47 73 86 94 129 141 146 172 188 219 258 282 292 387 423 438 516 564 657 774 846 876 1,314 1,548 1,692 2,021 2,628 3,139 3,431 4,042 6,063 6,278 6,862 8,084 9,417 10,293 12,126 12,556 13,724 18,189 18,834 20,586 24,252 28,251 30,879 36,378 37,668 41,172 56,502 61,758

Collatz Trajectory (95 steps to reach 1)

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

5,311,188 2,655,594 1,327,797 3,983,392 1,991,696 995,848 497,924 248,962 124,481 373,444 186,722 93,361 280,084 140,042 70,021 210,064 105,032 52,516 26,258 13,129 39,388 19,694 9,847 29,542 14,771 44,314 22,157 66,472 33,236 16,618 8,309 24,928 12,464 6,232 3,116 1,558 779 2,338 1,169 3,508 1,754 877 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157

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