λ
Harmonic Matrix

5,334,767

73 × 73079
Deficient Odd Composite

5,334,767 has digital root 8. The neighboring primes are 5334761 and 5334773; its proper-divisor sum differs from the starting integer by -5,261,614.

Prime Factor Structure

Factorization String 73 × 73079
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,407,920
Proper Divisor Sum 73,153
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5334761 ← → #5334773

Radix Representation

Decimal 5334767
Binary 10100010110011011101111 (23 bits)
Octal 0o24263357
Hexadecimal 0x5166EF

Divisor Catalog (4)

1 73 73,079 5,334,767

Collatz Trajectory (144 steps to reach 1)

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

5,334,767 16,004,302 8,002,151 24,006,454 12,003,227 36,009,682 18,004,841 54,014,524 27,007,262 13,503,631 40,510,894 20,255,447 60,766,342 30,383,171 91,149,514 45,574,757 136,724,272 68,362,136 34,181,068 17,090,534 8,545,267 25,635,802 12,817,901 38,453,704 19,226,852 9,613,426 4,806,713 14,420,140 7,210,070 3,605,035 10,815,106 5,407,553 16,222,660 8,111,330 4,055,665 12,166,996 6,083,498 3,041,749 9,125,248 4,562,624 2,281,312 1,140,656 570,328 285,164 142,582 71,291 213,874 106,937 320,812 160,406 80,203 240,610 120,305 360,916 180,458 90,229 270,688 135,344 67,672 33,836

More profiles

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