λ
Harmonic Matrix

5,846,572

22 × 17 × 127 × 677
Deficient Even Composite

5,846,572 has digital root 1. The neighboring primes are 5846567 and 5846573; its proper-divisor sum differs from the starting integer by -758,360.

Prime Factor Structure

Factorization String 2^2 × 17 × 127 × 677
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,934,784
Proper Divisor Sum 5,088,212
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5846567 ← → #5846573

Radix Representation

Decimal 5846572
Binary 10110010011011000101100 (23 bits)
Octal 0o26233054
Hexadecimal 0x59362C

Divisor Catalog (24)

1 2 4 17 34 68 127 254 508 677 1,354 2,159 2,708 4,318 8,636 11,509 23,018 46,036 85,979 171,958 343,916 1,461,643 2,923,286 5,846,572

Collatz Trajectory (152 steps to reach 1)

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

5,846,572 2,923,286 1,461,643 4,384,930 2,192,465 6,577,396 3,288,698 1,644,349 4,933,048 2,466,524 1,233,262 616,631 1,849,894 924,947 2,774,842 1,387,421 4,162,264 2,081,132 1,040,566 520,283 1,560,850 780,425 2,341,276 1,170,638 585,319 1,755,958 877,979 2,633,938 1,316,969 3,950,908 1,975,454 987,727 2,963,182 1,481,591 4,444,774 2,222,387 6,667,162 3,333,581 10,000,744 5,000,372 2,500,186 1,250,093 3,750,280 1,875,140 937,570 468,785 1,406,356 703,178 351,589 1,054,768 527,384 263,692 131,846 65,923 197,770 98,885 296,656 148,328 74,164 37,082

More profiles

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