4,688,367

3 × 409 × 3821

4,688,367 factors as 3 × 409 × 3821. Its 8 positive divisors give a proper-divisor sum of 1,579,713, so this integer is deficient. The Collatz stopping time is 317 steps.

Prime Factor Structure

Factorization String 3 × 409 × 3821

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,268,080

Proper Divisor Sum 1,579,713

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #4688357 ← → #4688371

Radix Representation

Decimal	4688367
Binary	10001111000100111101111 (23 bits)
Octal	0o21704757
Hexadecimal	0x4789EF

Divisor Catalog (8)

1 3 409 1,227 3,821 11,463 1,562,789 4,688,367

Collatz Trajectory (317 steps to reach 1)

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

4,688,367 14,065,102 7,032,551 21,097,654 10,548,827 31,646,482 15,823,241 47,469,724 23,734,862 11,867,431 35,602,294 17,801,147 53,403,442 26,701,721 80,105,164 40,052,582 20,026,291 60,078,874 30,039,437 90,118,312 45,059,156 22,529,578 11,264,789 33,794,368 16,897,184 8,448,592 4,224,296 2,112,148 1,056,074 528,037 1,584,112 792,056 396,028 198,014 99,007 297,022 148,511 445,534 222,767 668,302 334,151 1,002,454 501,227 1,503,682 751,841 2,255,524 1,127,762 563,881 1,691,644 845,822 422,911 1,268,734 634,367 1,903,102 951,551 2,854,654 1,427,327 4,281,982 2,140,991 6,422,974

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