λ
Harmonic Matrix

1,479,771

32 × 164419
Deficient Odd Composite

1,479,771 has digital root 9. The neighboring primes are 1479763 and 1479773; its proper-divisor sum differs from the starting integer by -822,082.

Prime Factor Structure

Factorization String 3^2 × 164419
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,137,460
Proper Divisor Sum 657,689
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1479763 ← → #1479773

Radix Representation

Decimal 1479771
Binary 101101001010001011011 (21 bits)
Octal 0o5512133
Hexadecimal 0x16945B

Divisor Catalog (6)

1 3 9 164,419 493,257 1,479,771

Collatz Trajectory (142 steps to reach 1)

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

1,479,771 4,439,314 2,219,657 6,658,972 3,329,486 1,664,743 4,994,230 2,497,115 7,491,346 3,745,673 11,237,020 5,618,510 2,809,255 8,427,766 4,213,883 12,641,650 6,320,825 18,962,476 9,481,238 4,740,619 14,221,858 7,110,929 21,332,788 10,666,394 5,333,197 15,999,592 7,999,796 3,999,898 1,999,949 5,999,848 2,999,924 1,499,962 749,981 2,249,944 1,124,972 562,486 281,243 843,730 421,865 1,265,596 632,798 316,399 949,198 474,599 1,423,798 711,899 2,135,698 1,067,849 3,203,548 1,601,774 800,887 2,402,662 1,201,331 3,603,994 1,801,997 5,405,992 2,702,996 1,351,498 675,749 2,027,248

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