λ
Harmonic Matrix

3,761,389

3761389
Deficient Odd Prime

3,761,389 has digital root 1. The neighboring primes are 3761333 and 3761393; its proper-divisor sum differs from the starting integer by -3,761,388.

Prime Factor Structure

Factorization String 3761389
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,761,390
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3761333 ← → #3761393

Radix Representation

Decimal 3761389
Binary 1110010110010011101101 (22 bits)
Octal 0o16262355
Hexadecimal 0x3964ED

Divisor Catalog (2)

1 3,761,389

Collatz Trajectory (185 steps to reach 1)

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

3,761,389 11,284,168 5,642,084 2,821,042 1,410,521 4,231,564 2,115,782 1,057,891 3,173,674 1,586,837 4,760,512 2,380,256 1,190,128 595,064 297,532 148,766 74,383 223,150 111,575 334,726 167,363 502,090 251,045 753,136 376,568 188,284 94,142 47,071 141,214 70,607 211,822 105,911 317,734 158,867 476,602 238,301 714,904 357,452 178,726 89,363 268,090 134,045 402,136 201,068 100,534 50,267 150,802 75,401 226,204 113,102 56,551 169,654 84,827 254,482 127,241 381,724 190,862 95,431 286,294 143,147

More profiles

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