λ
Harmonic Matrix

6,762,939

3 × 73 × 30881
Deficient Odd Composite

6,762,939 has digital root 6. The neighboring primes are 6762901 and 6762941; its proper-divisor sum differs from the starting integer by -4,384,806.

Prime Factor Structure

Factorization String 3 × 73 × 30881
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,141,072
Proper Divisor Sum 2,378,133
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6762901 ← → #6762941

Radix Representation

Decimal 6762939
Binary 11001110011000110111011 (23 bits)
Octal 0o31630673
Hexadecimal 0x6731BB

Divisor Catalog (8)

1 3 73 219 30,881 92,643 2,254,313 6,762,939

Collatz Trajectory (253 steps to reach 1)

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

6,762,939 20,288,818 10,144,409 30,433,228 15,216,614 7,608,307 22,824,922 11,412,461 34,237,384 17,118,692 8,559,346 4,279,673 12,839,020 6,419,510 3,209,755 9,629,266 4,814,633 14,443,900 7,221,950 3,610,975 10,832,926 5,416,463 16,249,390 8,124,695 24,374,086 12,187,043 36,561,130 18,280,565 54,841,696 27,420,848 13,710,424 6,855,212 3,427,606 1,713,803 5,141,410 2,570,705 7,712,116 3,856,058 1,928,029 5,784,088 2,892,044 1,446,022 723,011 2,169,034 1,084,517 3,253,552 1,626,776 813,388 406,694 203,347 610,042 305,021 915,064 457,532 228,766 114,383 343,150 171,575 514,726 257,363

More profiles

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