4,715,082

2 × 3² × 41 × 6389

4,715,082 has digital root 9. The neighboring primes are 4715077 and 4715089; its proper-divisor sum differs from the starting integer by 1,036,656.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 6389

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,466,820

Proper Divisor Sum 5,751,738

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4715077 ← → #4715089

Radix Representation

Decimal	4715082
Binary	10001111111001001001010 (23 bits)
Octal	0o21771112
Hexadecimal	0x47F24A

Divisor Catalog (24)

1 2 3 6 9 18 41 82 123 246 369 738 6,389 12,778 19,167 38,334 57,501 115,002 261,949 523,898 785,847 1,571,694 2,357,541 4,715,082

Collatz Trajectory (131 steps to reach 1)

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

4,715,082 2,357,541 7,072,624 3,536,312 1,768,156 884,078 442,039 1,326,118 663,059 1,989,178 994,589 2,983,768 1,491,884 745,942 372,971 1,118,914 559,457 1,678,372 839,186 419,593 1,258,780 629,390 314,695 944,086 472,043 1,416,130 708,065 2,124,196 1,062,098 531,049 1,593,148 796,574 398,287 1,194,862 597,431 1,792,294 896,147 2,688,442 1,344,221 4,032,664 2,016,332 1,008,166 504,083 1,512,250 756,125 2,268,376 1,134,188 567,094 283,547 850,642 425,321 1,275,964 637,982 318,991 956,974 478,487 1,435,462 717,731 2,153,194 1,076,597

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