λ
Harmonic Matrix

5,773,095

32 × 5 × 128291
Deficient Odd Composite

5,773,095 has digital root 9. The neighboring primes are 5773067 and 5773109; its proper-divisor sum differs from the starting integer by -1,539,414.

Prime Factor Structure

Factorization String 3^2 × 5 × 128291
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,006,776
Proper Divisor Sum 4,233,681
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5773067 ← → #5773109

Radix Representation

Decimal 5773095
Binary 10110000001011100100111 (23 bits)
Octal 0o26013447
Hexadecimal 0x581727

Divisor Catalog (12)

1 3 5 9 15 45 128,291 384,873 641,455 1,154,619 1,924,365 5,773,095

Collatz Trajectory (121 steps to reach 1)

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

5,773,095 17,319,286 8,659,643 25,978,930 12,989,465 38,968,396 19,484,198 9,742,099 29,226,298 14,613,149 43,839,448 21,919,724 10,959,862 5,479,931 16,439,794 8,219,897 24,659,692 12,329,846 6,164,923 18,494,770 9,247,385 27,742,156 13,871,078 6,935,539 20,806,618 10,403,309 31,209,928 15,604,964 7,802,482 3,901,241 11,703,724 5,851,862 2,925,931 8,777,794 4,388,897 13,166,692 6,583,346 3,291,673 9,875,020 4,937,510 2,468,755 7,406,266 3,703,133 11,109,400 5,554,700 2,777,350 1,388,675 4,166,026 2,083,013 6,249,040 3,124,520 1,562,260 781,130 390,565 1,171,696 585,848 292,924 146,462 73,231 219,694

More profiles

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