λ
Harmonic Matrix

3,523,602

2 × 3 × 587267
Abundant Even Composite

3,523,602 has digital root 3. The neighboring primes are 3523589 and 3523603; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 587267
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,047,216
Proper Divisor Sum 3,523,614
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3523589 ← → #3523603

Radix Representation

Decimal 3523602
Binary 1101011100010000010010 (22 bits)
Octal 0o15342022
Hexadecimal 0x35C412

Divisor Catalog (8)

1 2 3 6 587,267 1,174,534 1,761,801 3,523,602

Collatz Trajectory (221 steps to reach 1)

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

3,523,602 1,761,801 5,285,404 2,642,702 1,321,351 3,964,054 1,982,027 5,946,082 2,973,041 8,919,124 4,459,562 2,229,781 6,689,344 3,344,672 1,672,336 836,168 418,084 209,042 104,521 313,564 156,782 78,391 235,174 117,587 352,762 176,381 529,144 264,572 132,286 66,143 198,430 99,215 297,646 148,823 446,470 223,235 669,706 334,853 1,004,560 502,280 251,140 125,570 62,785 188,356 94,178 47,089 141,268 70,634 35,317 105,952 52,976 26,488 13,244 6,622 3,311 9,934 4,967 14,902 7,451 22,354

More profiles

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