λ
Harmonic Matrix

6,174,555

3 × 5 × 411637
Deficient Odd Composite

6,174,555 has digital root 6. The neighboring primes are 6174547 and 6174569; its proper-divisor sum differs from the starting integer by -2,469,798.

Prime Factor Structure

Factorization String 3 × 5 × 411637
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,879,312
Proper Divisor Sum 3,704,757
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6174547 ← → #6174569

Radix Representation

Decimal 6174555
Binary 10111100011011101011011 (23 bits)
Octal 0o27433533
Hexadecimal 0x5E375B

Divisor Catalog (8)

1 3 5 15 411,637 1,234,911 2,058,185 6,174,555

Collatz Trajectory (439 steps to reach 1)

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

6,174,555 18,523,666 9,261,833 27,785,500 13,892,750 6,946,375 20,839,126 10,419,563 31,258,690 15,629,345 46,888,036 23,444,018 11,722,009 35,166,028 17,583,014 8,791,507 26,374,522 13,187,261 39,561,784 19,780,892 9,890,446 4,945,223 14,835,670 7,417,835 22,253,506 11,126,753 33,380,260 16,690,130 8,345,065 25,035,196 12,517,598 6,258,799 18,776,398 9,388,199 28,164,598 14,082,299 42,246,898 21,123,449 63,370,348 31,685,174 15,842,587 47,527,762 23,763,881 71,291,644 35,645,822 17,822,911 53,468,734 26,734,367 80,203,102 40,101,551 120,304,654 60,152,327 180,456,982 90,228,491 270,685,474 135,342,737 406,028,212 203,014,106 101,507,053 304,521,160

More profiles

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