λ
Harmonic Matrix

5,842,398

2 × 3 × 29 × 33577
Abundant Even Composite

5,842,398 has digital root 3. The neighboring primes are 5842393 and 5842399; its proper-divisor sum differs from the starting integer by 403,284.

Prime Factor Structure

Factorization String 2 × 3 × 29 × 33577
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,088,080
Proper Divisor Sum 6,245,682
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5842393 ← → #5842399

Radix Representation

Decimal 5842398
Binary 10110010010010111011110 (23 bits)
Octal 0o26222736
Hexadecimal 0x5925DE

Divisor Catalog (16)

1 2 3 6 29 58 87 174 33,577 67,154 100,731 201,462 973,733 1,947,466 2,921,199 5,842,398

Collatz Trajectory (175 steps to reach 1)

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

5,842,398 2,921,199 8,763,598 4,381,799 13,145,398 6,572,699 19,718,098 9,859,049 29,577,148 14,788,574 7,394,287 22,182,862 11,091,431 33,274,294 16,637,147 49,911,442 24,955,721 74,867,164 37,433,582 18,716,791 56,150,374 28,075,187 84,225,562 42,112,781 126,338,344 63,169,172 31,584,586 15,792,293 47,376,880 23,688,440 11,844,220 5,922,110 2,961,055 8,883,166 4,441,583 13,324,750 6,662,375 19,987,126 9,993,563 29,980,690 14,990,345 44,971,036 22,485,518 11,242,759 33,728,278 16,864,139 50,592,418 25,296,209 75,888,628 37,944,314 18,972,157 56,916,472 28,458,236 14,229,118 7,114,559 21,343,678 10,671,839 32,015,518 16,007,759 48,023,278

More profiles

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