λ
Harmonic Matrix

5,998,736

24 × 37 × 10133
Deficient Even Composite

5,998,736 has digital root 2. The neighboring primes are 5998723 and 5998757; its proper-divisor sum differs from the starting integer by -59,620.

Prime Factor Structure

Factorization String 2^4 × 37 × 10133
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,937,852
Proper Divisor Sum 5,939,116
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #5998723 ← → #5998757

Radix Representation

Decimal 5998736
Binary 10110111000100010010000 (23 bits)
Octal 0o26704220
Hexadecimal 0x5B8890

Divisor Catalog (20)

1 2 4 8 16 37 74 148 296 592 10,133 20,266 40,532 81,064 162,128 374,921 749,842 1,499,684 2,999,368 5,998,736

Collatz Trajectory (139 steps to reach 1)

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

5,998,736 2,999,368 1,499,684 749,842 374,921 1,124,764 562,382 281,191 843,574 421,787 1,265,362 632,681 1,898,044 949,022 474,511 1,423,534 711,767 2,135,302 1,067,651 3,202,954 1,601,477 4,804,432 2,402,216 1,201,108 600,554 300,277 900,832 450,416 225,208 112,604 56,302 28,151 84,454 42,227 126,682 63,341 190,024 95,012 47,506 23,753 71,260 35,630 17,815 53,446 26,723 80,170 40,085 120,256 60,128 30,064 15,032 7,516 3,758 1,879 5,638 2,819 8,458 4,229 12,688 6,344

More profiles

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