λ
Harmonic Matrix

3,602,342

2 × 41 × 197 × 223
Deficient Even Composite

3,602,342 has digital root 2. The neighboring primes are 3602309 and 3602353; its proper-divisor sum differs from the starting integer by -1,616,332.

Prime Factor Structure

Factorization String 2 × 41 × 197 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,588,352
Proper Divisor Sum 1,986,010
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3602309 ← → #3602353

Radix Representation

Decimal 3602342
Binary 1101101111011110100110 (22 bits)
Octal 0o15573646
Hexadecimal 0x36F7A6

Divisor Catalog (16)

1 2 41 82 197 223 394 446 8,077 9,143 16,154 18,286 43,931 87,862 1,801,171 3,602,342

Collatz Trajectory (203 steps to reach 1)

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

3,602,342 1,801,171 5,403,514 2,701,757 8,105,272 4,052,636 2,026,318 1,013,159 3,039,478 1,519,739 4,559,218 2,279,609 6,838,828 3,419,414 1,709,707 5,129,122 2,564,561 7,693,684 3,846,842 1,923,421 5,770,264 2,885,132 1,442,566 721,283 2,163,850 1,081,925 3,245,776 1,622,888 811,444 405,722 202,861 608,584 304,292 152,146 76,073 228,220 114,110 57,055 171,166 85,583 256,750 128,375 385,126 192,563 577,690 288,845 866,536 433,268 216,634 108,317 324,952 162,476 81,238 40,619 121,858 60,929 182,788 91,394 45,697 137,092

More profiles

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