λ
Harmonic Matrix

3,197,457

32 × 47 × 7559
Deficient Odd Composite

3,197,457 has digital root 9. The neighboring primes are 3197449 and 3197461; its proper-divisor sum differs from the starting integer by -1,677,474.

Prime Factor Structure

Factorization String 3^2 × 47 × 7559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,717,440
Proper Divisor Sum 1,519,983
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3197449 ← → #3197461

Radix Representation

Decimal 3197457
Binary 1100001100101000010001 (22 bits)
Octal 0o14145021
Hexadecimal 0x30CA11

Divisor Catalog (12)

1 3 9 47 141 423 7,559 22,677 68,031 355,273 1,065,819 3,197,457

Collatz Trajectory (71 steps to reach 1)

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

3,197,457 9,592,372 4,796,186 2,398,093 7,194,280 3,597,140 1,798,570 899,285 2,697,856 1,348,928 674,464 337,232 168,616 84,308 42,154 21,077 63,232 31,616 15,808 7,904 3,952 1,976 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17

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