λ
Harmonic Matrix

3,045,657

3 × 31 × 32749
Deficient Odd Composite

3,045,657 has digital root 3. The neighboring primes are 3045631 and 3045661; its proper-divisor sum differs from the starting integer by -1,899,314.

Prime Factor Structure

Factorization String 3 × 31 × 32749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,192,000
Proper Divisor Sum 1,146,343
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3045631 ← → #3045661

Radix Representation

Decimal 3045657
Binary 1011100111100100011001 (22 bits)
Octal 0o13474431
Hexadecimal 0x2E7919

Divisor Catalog (8)

1 3 31 93 32,749 98,247 1,015,219 3,045,657

Collatz Trajectory (226 steps to reach 1)

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

3,045,657 9,136,972 4,568,486 2,284,243 6,852,730 3,426,365 10,279,096 5,139,548 2,569,774 1,284,887 3,854,662 1,927,331 5,781,994 2,890,997 8,672,992 4,336,496 2,168,248 1,084,124 542,062 271,031 813,094 406,547 1,219,642 609,821 1,829,464 914,732 457,366 228,683 686,050 343,025 1,029,076 514,538 257,269 771,808 385,904 192,952 96,476 48,238 24,119 72,358 36,179 108,538 54,269 162,808 81,404 40,702 20,351 61,054 30,527 91,582 45,791 137,374 68,687 206,062 103,031 309,094 154,547 463,642 231,821 695,464

More profiles

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