λ
Harmonic Matrix

3,506,158

2 × 29 × 61 × 991
Deficient Even Composite

3,506,158 has digital root 1. The neighboring primes are 3506149 and 3506159; its proper-divisor sum differs from the starting integer by -1,476,956.

Prime Factor Structure

Factorization String 2 × 29 × 61 × 991
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,535,360
Proper Divisor Sum 2,029,202
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #3506149 ← → #3506159

Radix Representation

Decimal 3506158
Binary 1101010111111111101110 (22 bits)
Octal 0o15277756
Hexadecimal 0x357FEE

Divisor Catalog (16)

1 2 29 58 61 122 991 1,769 1,982 3,538 28,739 57,478 60,451 120,902 1,753,079 3,506,158

Collatz Trajectory (177 steps to reach 1)

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

3,506,158 1,753,079 5,259,238 2,629,619 7,888,858 3,944,429 11,833,288 5,916,644 2,958,322 1,479,161 4,437,484 2,218,742 1,109,371 3,328,114 1,664,057 4,992,172 2,496,086 1,248,043 3,744,130 1,872,065 5,616,196 2,808,098 1,404,049 4,212,148 2,106,074 1,053,037 3,159,112 1,579,556 789,778 394,889 1,184,668 592,334 296,167 888,502 444,251 1,332,754 666,377 1,999,132 999,566 499,783 1,499,350 749,675 2,249,026 1,124,513 3,373,540 1,686,770 843,385 2,530,156 1,265,078 632,539 1,897,618 948,809 2,846,428 1,423,214 711,607 2,134,822 1,067,411 3,202,234 1,601,117 4,803,352

More profiles

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