λ
Harmonic Matrix

1,415,493

32 × 157277
Deficient Odd Composite

1,415,493 has digital root 9. The neighboring primes are 1415473 and 1415497; its proper-divisor sum differs from the starting integer by -786,372.

Prime Factor Structure

Factorization String 3^2 × 157277
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 2,044,614
Proper Divisor Sum 629,121
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1415473 ← → #1415497

Radix Representation

Decimal 1415493
Binary 101011001100101000101 (21 bits)
Octal 0o5314505
Hexadecimal 0x159945

Divisor Catalog (6)

1 3 9 157,277 471,831 1,415,493

Collatz Trajectory (137 steps to reach 1)

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

1,415,493 4,246,480 2,123,240 1,061,620 530,810 265,405 796,216 398,108 199,054 99,527 298,582 149,291 447,874 223,937 671,812 335,906 167,953 503,860 251,930 125,965 377,896 188,948 94,474 47,237 141,712 70,856 35,428 17,714 8,857 26,572 13,286 6,643 19,930 9,965 29,896 14,948 7,474 3,737 11,212 5,606 2,803 8,410 4,205 12,616 6,308 3,154 1,577 4,732 2,366 1,183 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990

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