λ
Harmonic Matrix

3,756,190

2 × 5 × 101 × 3719
Deficient Even Composite

3,756,190 has digital root 4. The neighboring primes are 3756173 and 3756209; its proper-divisor sum differs from the starting integer by -682,460.

Prime Factor Structure

Factorization String 2 × 5 × 101 × 3719
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,829,920
Proper Divisor Sum 3,073,730
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3756173 ← → #3756209

Radix Representation

Decimal 3756190
Binary 1110010101000010011110 (22 bits)
Octal 0o16250236
Hexadecimal 0x39509E

Divisor Catalog (16)

1 2 5 10 101 202 505 1,010 3,719 7,438 18,595 37,190 375,619 751,238 1,878,095 3,756,190

Collatz Trajectory (84 steps to reach 1)

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

3,756,190 1,878,095 5,634,286 2,817,143 8,451,430 4,225,715 12,677,146 6,338,573 19,015,720 9,507,860 4,753,930 2,376,965 7,130,896 3,565,448 1,782,724 891,362 445,681 1,337,044 668,522 334,261 1,002,784 501,392 250,696 125,348 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662

More profiles

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