λ
Harmonic Matrix

973,419

3 × 324473
Deficient Odd Composite

973,419 has digital root 6. The neighboring primes are 973411 and 973421; its proper-divisor sum differs from the starting integer by -648,942.

Prime Factor Structure

Factorization String 3 × 324473
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,297,896
Proper Divisor Sum 324,477
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #973411 ← → #973421

Radix Representation

Decimal 973419
Binary 11101101101001101011 (20 bits)
Octal 0o3555153
Hexadecimal 0xEDA6B

Divisor Catalog (4)

1 3 324,473 973,419

Collatz Trajectory (64 steps to reach 1)

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

973,419 2,920,258 1,460,129 4,380,388 2,190,194 1,095,097 3,285,292 1,642,646 821,323 2,463,970 1,231,985 3,695,956 1,847,978 923,989 2,771,968 1,385,984 692,992 346,496 173,248 86,624 43,312 21,656 10,828 5,414 2,707 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5

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