λ
Harmonic Matrix

4,946,678

2 × 11 × 37 × 59 × 103
Deficient Even Composite

4,946,678 has digital root 8. The neighboring primes are 4946671 and 4946681; its proper-divisor sum differs from the starting integer by -1,357,036.

Prime Factor Structure

Factorization String 2 × 11 × 37 × 59 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,536,320
Proper Divisor Sum 3,589,642
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4946671 ← → #4946681

Radix Representation

Decimal 4946678
Binary 10010110111101011110110 (23 bits)
Octal 0o22675366
Hexadecimal 0x4B7AF6

Divisor Catalog (32)

1 2 11 22 37 59 74 103 118 206 407 649 814 1,133 1,298 2,183 2,266 3,811 4,366 6,077 7,622 12,154 24,013 41,921 48,026 66,847 83,842 133,694 224,849 449,698 2,473,339 4,946,678

Collatz Trajectory (206 steps to reach 1)

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

4,946,678 2,473,339 7,420,018 3,710,009 11,130,028 5,565,014 2,782,507 8,347,522 4,173,761 12,521,284 6,260,642 3,130,321 9,390,964 4,695,482 2,347,741 7,043,224 3,521,612 1,760,806 880,403 2,641,210 1,320,605 3,961,816 1,980,908 990,454 495,227 1,485,682 742,841 2,228,524 1,114,262 557,131 1,671,394 835,697 2,507,092 1,253,546 626,773 1,880,320 940,160 470,080 235,040 117,520 58,760 29,380 14,690 7,345 22,036 11,018 5,509 16,528 8,264 4,132 2,066 1,033 3,100 1,550 775 2,326 1,163 3,490 1,745 5,236

More profiles

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