λ
Harmonic Matrix

5,834,436

22 × 3 × 486203
Abundant Even Composite

5,834,436 has digital root 6. The neighboring primes are 5834431 and 5834441; its proper-divisor sum differs from the starting integer by 1,944,840.

Prime Factor Structure

Factorization String 2^2 × 3 × 486203
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,613,712
Proper Divisor Sum 7,779,276
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5834431 ← → #5834441

Radix Representation

Decimal 5834436
Binary 10110010000011011000100 (23 bits)
Octal 0o26203304
Hexadecimal 0x5906C4

Divisor Catalog (12)

1 2 3 4 6 12 486,203 972,406 1,458,609 1,944,812 2,917,218 5,834,436

Collatz Trajectory (183 steps to reach 1)

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

5,834,436 2,917,218 1,458,609 4,375,828 2,187,914 1,093,957 3,281,872 1,640,936 820,468 410,234 205,117 615,352 307,676 153,838 76,919 230,758 115,379 346,138 173,069 519,208 259,604 129,802 64,901 194,704 97,352 48,676 24,338 12,169 36,508 18,254 9,127 27,382 13,691 41,074 20,537 61,612 30,806 15,403 46,210 23,105 69,316 34,658 17,329 51,988 25,994 12,997 38,992 19,496 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372 686 343 1,030

More profiles

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