λ
Harmonic Matrix

5,833,158

2 × 3 × 409 × 2377
Abundant Even Composite

5,833,158 has digital root 6. The neighboring primes are 5833109 and 5833169; its proper-divisor sum differs from the starting integer by 33,444.

Prime Factor Structure

Factorization String 2 × 3 × 409 × 2377
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,699,760
Proper Divisor Sum 5,866,602
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5833109 ← → #5833169

Radix Representation

Decimal 5833158
Binary 10110010000000111000110 (23 bits)
Octal 0o26200706
Hexadecimal 0x5901C6

Divisor Catalog (16)

1 2 3 6 409 818 1,227 2,377 2,454 4,754 7,131 14,262 972,193 1,944,386 2,916,579 5,833,158

Collatz Trajectory (77 steps to reach 1)

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

5,833,158 2,916,579 8,749,738 4,374,869 13,124,608 6,562,304 3,281,152 1,640,576 820,288 410,144 205,072 102,536 51,268 25,634 12,817 38,452 19,226 9,613 28,840 14,420 7,210 3,605 10,816 5,408 2,704 1,352 676 338 169 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29

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