λ
Harmonic Matrix

1,478,228

22 × 369557
Deficient Even Composite

1,478,228 has digital root 5. The neighboring primes are 1478209 and 1478231; its proper-divisor sum differs from the starting integer by -369,550.

Prime Factor Structure

Factorization String 2^2 × 369557
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,586,906
Proper Divisor Sum 1,108,678
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1478209 ← → #1478231

Radix Representation

Decimal 1478228
Binary 101101000111001010100 (21 bits)
Octal 0o5507124
Hexadecimal 0x168E54

Divisor Catalog (6)

1 2 4 369,557 739,114 1,478,228

Collatz Trajectory (62 steps to reach 1)

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

1,478,228 739,114 369,557 1,108,672 554,336 277,168 138,584 69,292 34,646 17,323 51,970 25,985 77,956 38,978 19,489 58,468 29,234 14,617 43,852 21,926 10,963 32,890 16,445 49,336 24,668 12,334 6,167 18,502 9,251 27,754 13,877 41,632 20,816 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8

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