λ
Harmonic Matrix

5,618,809

7 × 193 × 4159
Deficient Odd Composite

5,618,809 has digital root 1. The neighboring primes are 5618777 and 5618819; its proper-divisor sum differs from the starting integer by -4,781,298.

Prime Factor Structure

Factorization String 7 × 193 × 4159
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,456,320
Proper Divisor Sum 837,511
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5618777 ← → #5618819

Radix Representation

Decimal 5618809
Binary 10101011011110001111001 (23 bits)
Octal 0o25336171
Hexadecimal 0x55BC79

Divisor Catalog (8)

1 7 193 1,351 4,159 29,113 802,687 5,618,809

Collatz Trajectory (157 steps to reach 1)

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

5,618,809 16,856,428 8,428,214 4,214,107 12,642,322 6,321,161 18,963,484 9,481,742 4,740,871 14,222,614 7,111,307 21,333,922 10,666,961 32,000,884 16,000,442 8,000,221 24,000,664 12,000,332 6,000,166 3,000,083 9,000,250 4,500,125 13,500,376 6,750,188 3,375,094 1,687,547 5,062,642 2,531,321 7,593,964 3,796,982 1,898,491 5,695,474 2,847,737 8,543,212 4,271,606 2,135,803 6,407,410 3,203,705 9,611,116 4,805,558 2,402,779 7,208,338 3,604,169 10,812,508 5,406,254 2,703,127 8,109,382 4,054,691 12,164,074 6,082,037 18,246,112 9,123,056 4,561,528 2,280,764 1,140,382 570,191 1,710,574 855,287 2,565,862 1,282,931

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