λ
Harmonic Matrix

3,707,202

2 × 3 × 43 × 14369
Abundant Even Composite

3,707,202 has digital root 3. The neighboring primes are 3707189 and 3707203; its proper-divisor sum differs from the starting integer by 172,956.

Prime Factor Structure

Factorization String 2 × 3 × 43 × 14369
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,587,360
Proper Divisor Sum 3,880,158
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3707189 ← → #3707203

Radix Representation

Decimal 3707202
Binary 1110001001000101000010 (22 bits)
Octal 0o16110502
Hexadecimal 0x389142

Divisor Catalog (16)

1 2 3 6 43 86 129 258 14,369 28,738 43,107 86,214 617,867 1,235,734 1,853,601 3,707,202

Collatz Trajectory (159 steps to reach 1)

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

3,707,202 1,853,601 5,560,804 2,780,402 1,390,201 4,170,604 2,085,302 1,042,651 3,127,954 1,563,977 4,691,932 2,345,966 1,172,983 3,518,950 1,759,475 5,278,426 2,639,213 7,917,640 3,958,820 1,979,410 989,705 2,969,116 1,484,558 742,279 2,226,838 1,113,419 3,340,258 1,670,129 5,010,388 2,505,194 1,252,597 3,757,792 1,878,896 939,448 469,724 234,862 117,431 352,294 176,147 528,442 264,221 792,664 396,332 198,166 99,083 297,250 148,625 445,876 222,938 111,469 334,408 167,204 83,602 41,801 125,404 62,702 31,351 94,054 47,027 141,082

More profiles

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