λ
Harmonic Matrix

3,879,495

35 × 5 × 31 × 103
Deficient Odd Composite

3,879,495 has digital root 9. The neighboring primes are 3879437 and 3879509; its proper-divisor sum differs from the starting integer by -490,638.

Prime Factor Structure

Factorization String 3^5 × 5 × 31 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,268,352
Proper Divisor Sum 3,388,857
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3879437 ← → #3879509

Radix Representation

Decimal 3879495
Binary 1110110011001001000111 (22 bits)
Octal 0o16631107
Hexadecimal 0x3B3247

Divisor Catalog (48)

1 3 5 9 15 27 31 45 81 93 103 135 155 243 279 309 405 465 515 837 927 1,215 1,395 1,545 2,511 2,781 3,193 4,185 4,635 7,533 8,343 9,579 12,555 13,905 15,965 25,029 28,737 37,665 41,715 47,895 86,211 125,145 143,685 258,633 431,055 775,899 1,293,165 3,879,495

Collatz Trajectory (216 steps to reach 1)

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

3,879,495 11,638,486 5,819,243 17,457,730 8,728,865 26,186,596 13,093,298 6,546,649 19,639,948 9,819,974 4,909,987 14,729,962 7,364,981 22,094,944 11,047,472 5,523,736 2,761,868 1,380,934 690,467 2,071,402 1,035,701 3,107,104 1,553,552 776,776 388,388 194,194 97,097 291,292 145,646 72,823 218,470 109,235 327,706 163,853 491,560 245,780 122,890 61,445 184,336 92,168 46,084 23,042 11,521 34,564 17,282 8,641 25,924 12,962 6,481 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103

More profiles

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