4,291,065

3² × 5 × 167 × 571

4,291,065 has digital root 9. The neighboring primes are 4291061 and 4291073; its proper-divisor sum differs from the starting integer by -1,086,642.

Prime Factor Structure

Factorization String 3^2 × 5 × 167 × 571

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 7,495,488

Proper Divisor Sum 3,204,423

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4291061 ← → #4291073

Radix Representation

Decimal	4291065
Binary	10000010111100111111001 (23 bits)
Octal	0o20274771
Hexadecimal	0x4179F9

Divisor Catalog (24)

1 3 5 9 15 45 167 501 571 835 1,503 1,713 2,505 2,855 5,139 7,515 8,565 25,695 95,357 286,071 476,785 858,213 1,430,355 4,291,065

Collatz Trajectory (149 steps to reach 1)

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

4,291,065 12,873,196 6,436,598 3,218,299 9,654,898 4,827,449 14,482,348 7,241,174 3,620,587 10,861,762 5,430,881 16,292,644 8,146,322 4,073,161 12,219,484 6,109,742 3,054,871 9,164,614 4,582,307 13,746,922 6,873,461 20,620,384 10,310,192 5,155,096 2,577,548 1,288,774 644,387 1,933,162 966,581 2,899,744 1,449,872 724,936 362,468 181,234 90,617 271,852 135,926 67,963 203,890 101,945 305,836 152,918 76,459 229,378 114,689 344,068 172,034 86,017 258,052 129,026 64,513 193,540 96,770 48,385 145,156 72,578 36,289 108,868 54,434 27,217

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