λ
Harmonic Matrix

5,999,708

22 × 11 × 13 × 17 × 617
Abundant Even Composite

5,999,708 has digital root 2. The neighboring primes are 5999699 and 5999717; its proper-divisor sum differs from the starting integer by 1,082,408.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 17 × 617
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,081,824
Proper Divisor Sum 7,082,116
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #5999699 ← → #5999717

Radix Representation

Decimal 5999708
Binary 10110111000110001011100 (23 bits)
Octal 0o26706134
Hexadecimal 0x5B8C5C

Divisor Catalog (48)

1 2 4 11 13 17 22 26 34 44 52 68 143 187 221 286 374 442 572 617 748 884 1,234 2,431 2,468 4,862 6,787 8,021 9,724 10,489 13,574 16,042 20,978 27,148 32,084 41,956 88,231 115,379 136,357 176,462 230,758 272,714 352,924 461,516 545,428 1,499,927 2,999,854 5,999,708

Collatz Trajectory (139 steps to reach 1)

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

5,999,708 2,999,854 1,499,927 4,499,782 2,249,891 6,749,674 3,374,837 10,124,512 5,062,256 2,531,128 1,265,564 632,782 316,391 949,174 474,587 1,423,762 711,881 2,135,644 1,067,822 533,911 1,601,734 800,867 2,402,602 1,201,301 3,603,904 1,801,952 900,976 450,488 225,244 112,622 56,311 168,934 84,467 253,402 126,701 380,104 190,052 95,026 47,513 142,540 71,270 35,635 106,906 53,453 160,360 80,180 40,090 20,045 60,136 30,068 15,034 7,517 22,552 11,276 5,638 2,819 8,458 4,229 12,688 6,344

More profiles

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