λ
Harmonic Matrix

601,399

61 × 9859
Deficient Odd Composite

601,399 has digital root 1. The neighboring primes are 601397 and 601411; its proper-divisor sum differs from the starting integer by -591,478.

Prime Factor Structure

Factorization String 61 × 9859
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 611,320
Proper Divisor Sum 9,921
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #601397 ← → #601411

Radix Representation

Decimal 601399
Binary 10010010110100110111 (20 bits)
Octal 0o2226467
Hexadecimal 0x92D37

Divisor Catalog (4)

1 61 9,859 601,399

Collatz Trajectory (66 steps to reach 1)

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

601,399 1,804,198 902,099 2,706,298 1,353,149 4,059,448 2,029,724 1,014,862 507,431 1,522,294 761,147 2,283,442 1,141,721 3,425,164 1,712,582 856,291 2,568,874 1,284,437 3,853,312 1,926,656 963,328 481,664 240,832 120,416 60,208 30,104 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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