λ
Harmonic Matrix

3,741,611

3741611
Deficient Odd Prime

3,741,611 has digital root 5. The neighboring primes are 3741599 and 3741653; its proper-divisor sum differs from the starting integer by -3,741,610.

Prime Factor Structure

Factorization String 3741611
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,741,612
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3741599 ← → #3741653

Radix Representation

Decimal 3741611
Binary 1110010001011110101011 (22 bits)
Octal 0o16213653
Hexadecimal 0x3917AB

Divisor Catalog (2)

1 3,741,611

Collatz Trajectory (270 steps to reach 1)

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

3,741,611 11,224,834 5,612,417 16,837,252 8,418,626 4,209,313 12,627,940 6,313,970 3,156,985 9,470,956 4,735,478 2,367,739 7,103,218 3,551,609 10,654,828 5,327,414 2,663,707 7,991,122 3,995,561 11,986,684 5,993,342 2,996,671 8,990,014 4,495,007 13,485,022 6,742,511 20,227,534 10,113,767 30,341,302 15,170,651 45,511,954 22,755,977 68,267,932 34,133,966 17,066,983 51,200,950 25,600,475 76,801,426 38,400,713 115,202,140 57,601,070 28,800,535 86,401,606 43,200,803 129,602,410 64,801,205 194,403,616 97,201,808 48,600,904 24,300,452 12,150,226 6,075,113 18,225,340 9,112,670 4,556,335 13,669,006 6,834,503 20,503,510 10,251,755 30,755,266

More profiles

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