λ
Harmonic Matrix

4,586,396

22 × 17 × 67447
Deficient Even Composite

4,586,396 has digital root 5. The neighboring primes are 4586377 and 4586411; its proper-divisor sum differs from the starting integer by -674,344.

Prime Factor Structure

Factorization String 2^2 × 17 × 67447
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,498,448
Proper Divisor Sum 3,912,052
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #4586377 ← → #4586411

Radix Representation

Decimal 4586396
Binary 10001011111101110011100 (23 bits)
Octal 0o21375634
Hexadecimal 0x45FB9C

Divisor Catalog (12)

1 2 4 17 34 68 67,447 134,894 269,788 1,146,599 2,293,198 4,586,396

Collatz Trajectory (193 steps to reach 1)

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

4,586,396 2,293,198 1,146,599 3,439,798 1,719,899 5,159,698 2,579,849 7,739,548 3,869,774 1,934,887 5,804,662 2,902,331 8,706,994 4,353,497 13,060,492 6,530,246 3,265,123 9,795,370 4,897,685 14,693,056 7,346,528 3,673,264 1,836,632 918,316 459,158 229,579 688,738 344,369 1,033,108 516,554 258,277 774,832 387,416 193,708 96,854 48,427 145,282 72,641 217,924 108,962 54,481 163,444 81,722 40,861 122,584 61,292 30,646 15,323 45,970 22,985 68,956 34,478 17,239 51,718 25,859 77,578 38,789 116,368 58,184 29,092

More profiles

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