λ
Harmonic Matrix

3,056,089

37 × 151 × 547
Deficient Odd Composite

3,056,089 has digital root 4. The neighboring primes are 3056083 and 3056111; its proper-divisor sum differs from the starting integer by -2,946,930.

Prime Factor Structure

Factorization String 37 × 151 × 547
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,165,248
Proper Divisor Sum 109,159
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3056083 ← → #3056111

Radix Representation

Decimal 3056089
Binary 1011101010000111011001 (22 bits)
Octal 0o13520731
Hexadecimal 0x2EA1D9

Divisor Catalog (8)

1 37 151 547 5,587 20,239 82,597 3,056,089

Collatz Trajectory (107 steps to reach 1)

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

3,056,089 9,168,268 4,584,134 2,292,067 6,876,202 3,438,101 10,314,304 5,157,152 2,578,576 1,289,288 644,644 322,322 161,161 483,484 241,742 120,871 362,614 181,307 543,922 271,961 815,884 407,942 203,971 611,914 305,957 917,872 458,936 229,468 114,734 57,367 172,102 86,051 258,154 129,077 387,232 193,616 96,808 48,404 24,202 12,101 36,304 18,152 9,076 4,538 2,269 6,808 3,404 1,702 851 2,554 1,277 3,832 1,916 958 479 1,438 719 2,158 1,079 3,238

More profiles

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