λ
Harmonic Matrix

3,052,093

11 × 37 × 7499
Deficient Odd Composite

3,052,093 has digital root 4. The neighboring primes are 3052079 and 3052099; its proper-divisor sum differs from the starting integer by -2,684,186.

Prime Factor Structure

Factorization String 11 × 37 × 7499
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,420,000
Proper Divisor Sum 367,907
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3052079 ← → #3052099

Radix Representation

Decimal 3052093
Binary 1011101001001000111101 (22 bits)
Octal 0o13511075
Hexadecimal 0x2E923D

Divisor Catalog (8)

1 11 37 407 7,499 82,489 277,463 3,052,093

Collatz Trajectory (164 steps to reach 1)

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

3,052,093 9,156,280 4,578,140 2,289,070 1,144,535 3,433,606 1,716,803 5,150,410 2,575,205 7,725,616 3,862,808 1,931,404 965,702 482,851 1,448,554 724,277 2,172,832 1,086,416 543,208 271,604 135,802 67,901 203,704 101,852 50,926 25,463 76,390 38,195 114,586 57,293 171,880 85,940 42,970 21,485 64,456 32,228 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366

More profiles

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