4,516,371

3³ × 47 × 3559

4,516,371 factors as 3^3 × 47 × 3559. Its 16 positive divisors give a proper-divisor sum of 2,318,829, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 3^3 × 47 × 3559

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,835,200

Proper Divisor Sum 2,318,829

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4516367 ← → #4516387

Radix Representation

Decimal	4516371
Binary	10001001110101000010011 (23 bits)
Octal	0o21165023
Hexadecimal	0x44EA13

Divisor Catalog (16)

1 3 9 27 47 141 423 1,269 3,559 10,677 32,031 96,093 167,273 501,819 1,505,457 4,516,371

Collatz Trajectory (224 steps to reach 1)

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

4,516,371 13,549,114 6,774,557 20,323,672 10,161,836 5,080,918 2,540,459 7,621,378 3,810,689 11,432,068 5,716,034 2,858,017 8,574,052 4,287,026 2,143,513 6,430,540 3,215,270 1,607,635 4,822,906 2,411,453 7,234,360 3,617,180 1,808,590 904,295 2,712,886 1,356,443 4,069,330 2,034,665 6,103,996 3,051,998 1,525,999 4,577,998 2,288,999 6,866,998 3,433,499 10,300,498 5,150,249 15,450,748 7,725,374 3,862,687 11,588,062 5,794,031 17,382,094 8,691,047 26,073,142 13,036,571 39,109,714 19,554,857 58,664,572 29,332,286 14,666,143 43,998,430 21,999,215 65,997,646 32,998,823 98,996,470 49,498,235 148,494,706 74,247,353 222,742,060

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