λ
Harmonic Matrix

4,076,549

17 × 37 × 6481
Deficient Odd Composite

4,076,549 has digital root 8. The neighboring primes are 4076537 and 4076557; its proper-divisor sum differs from the starting integer by -3,719,410.

Prime Factor Structure

Factorization String 17 × 37 × 6481
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,433,688
Proper Divisor Sum 357,139
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #4076537 ← → #4076557

Radix Representation

Decimal 4076549
Binary 1111100011010000000101 (22 bits)
Octal 0o17432005
Hexadecimal 0x3E3405

Divisor Catalog (8)

1 17 37 629 6,481 110,177 239,797 4,076,549

Collatz Trajectory (198 steps to reach 1)

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

4,076,549 12,229,648 6,114,824 3,057,412 1,528,706 764,353 2,293,060 1,146,530 573,265 1,719,796 859,898 429,949 1,289,848 644,924 322,462 161,231 483,694 241,847 725,542 362,771 1,088,314 544,157 1,632,472 816,236 408,118 204,059 612,178 306,089 918,268 459,134 229,567 688,702 344,351 1,033,054 516,527 1,549,582 774,791 2,324,374 1,162,187 3,486,562 1,743,281 5,229,844 2,614,922 1,307,461 3,922,384 1,961,192 980,596 490,298 245,149 735,448 367,724 183,862 91,931 275,794 137,897 413,692 206,846 103,423 310,270 155,135

More profiles

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