λ
Harmonic Matrix

3,637,897

3637897
Deficient Odd Prime

3,637,897 has digital root 7. The neighboring primes are 3637891 and 3637901; its proper-divisor sum differs from the starting integer by -3,637,896.

Prime Factor Structure

Factorization String 3637897
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,637,898
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #3637891 ← → #3637901

Radix Representation

Decimal 3637897
Binary 1101111000001010001001 (22 bits)
Octal 0o15701211
Hexadecimal 0x378289

Divisor Catalog (2)

Collatz Trajectory (234 steps to reach 1)

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

3,637,897 10,913,692 5,456,846 2,728,423 8,185,270 4,092,635 12,277,906 6,138,953 18,416,860 9,208,430 4,604,215 13,812,646 6,906,323 20,718,970 10,359,485 31,078,456 15,539,228 7,769,614 3,884,807 11,654,422 5,827,211 17,481,634 8,740,817 26,222,452 13,111,226 6,555,613 19,666,840 9,833,420 4,916,710 2,458,355 7,375,066 3,687,533 11,062,600 5,531,300 2,765,650 1,382,825 4,148,476 2,074,238 1,037,119 3,111,358 1,555,679 4,667,038 2,333,519 7,000,558 3,500,279 10,500,838 5,250,419 15,751,258 7,875,629 23,626,888 11,813,444 5,906,722 2,953,361 8,860,084 4,430,042 2,215,021 6,645,064 3,322,532 1,661,266 830,633

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