λ
Harmonic Matrix

3,776,950

2 × 52 × 75539
Deficient Even Composite

3,776,950 has digital root 1. The neighboring primes are 3776933 and 3776957; its proper-divisor sum differs from the starting integer by -528,680.

Prime Factor Structure

Factorization String 2 × 5^2 × 75539
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,025,220
Proper Divisor Sum 3,248,270
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3776933 ← → #3776957

Radix Representation

Decimal 3776950
Binary 1110011010000110110110 (22 bits)
Octal 0o16320666
Hexadecimal 0x39A1B6

Divisor Catalog (12)

1 2 5 10 25 50 75,539 151,078 377,695 755,390 1,888,475 3,776,950

Collatz Trajectory (110 steps to reach 1)

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

3,776,950 1,888,475 5,665,426 2,832,713 8,498,140 4,249,070 2,124,535 6,373,606 3,186,803 9,560,410 4,780,205 14,340,616 7,170,308 3,585,154 1,792,577 5,377,732 2,688,866 1,344,433 4,033,300 2,016,650 1,008,325 3,024,976 1,512,488 756,244 378,122 189,061 567,184 283,592 141,796 70,898 35,449 106,348 53,174 26,587 79,762 39,881 119,644 59,822 29,911 89,734 44,867 134,602 67,301 201,904 100,952 50,476 25,238 12,619 37,858 18,929 56,788 28,394 14,197 42,592 21,296 10,648 5,324 2,662 1,331 3,994

More profiles

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