λ
Harmonic Matrix

4,058,179

31 × 109 × 1201
Deficient Odd Composite

4,058,179 has digital root 7. The neighboring primes are 4058167 and 4058209; its proper-divisor sum differs from the starting integer by -3,885,318.

Prime Factor Structure

Factorization String 31 × 109 × 1201
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,231,040
Proper Divisor Sum 172,861
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4058167 ← → #4058209

Radix Representation

Decimal 4058179
Binary 1111011110110001000011 (22 bits)
Octal 0o17366103
Hexadecimal 0x3DEC43

Divisor Catalog (8)

1 31 109 1,201 3,379 37,231 130,909 4,058,179

Collatz Trajectory (84 steps to reach 1)

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

4,058,179 12,174,538 6,087,269 18,261,808 9,130,904 4,565,452 2,282,726 1,141,363 3,424,090 1,712,045 5,136,136 2,568,068 1,284,034 642,017 1,926,052 963,026 481,513 1,444,540 722,270 361,135 1,083,406 541,703 1,625,110 812,555 2,437,666 1,218,833 3,656,500 1,828,250 914,125 2,742,376 1,371,188 685,594 342,797 1,028,392 514,196 257,098 128,549 385,648 192,824 96,412 48,206 24,103 72,310 36,155 108,466 54,233 162,700 81,350 40,675 122,026 61,013 183,040 91,520 45,760 22,880 11,440 5,720 2,860 1,430 715

More profiles

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