λ
Harmonic Matrix

5,760,745

5 × 1152149
Deficient Odd Composite

5,760,745 has digital root 7. The neighboring primes are 5760719 and 5760749; its proper-divisor sum differs from the starting integer by -4,608,590.

Prime Factor Structure

Factorization String 5 × 1152149
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,912,900
Proper Divisor Sum 1,152,155
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5760719 ← → #5760749

Radix Representation

Decimal 5760745
Binary 10101111110011011101001 (23 bits)
Octal 0o25763351
Hexadecimal 0x57E6E9

Divisor Catalog (4)

1 5 1,152,149 5,760,745

Collatz Trajectory (139 steps to reach 1)

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

5,760,745 17,282,236 8,641,118 4,320,559 12,961,678 6,480,839 19,442,518 9,721,259 29,163,778 14,581,889 43,745,668 21,872,834 10,936,417 32,809,252 16,404,626 8,202,313 24,606,940 12,303,470 6,151,735 18,455,206 9,227,603 27,682,810 13,841,405 41,524,216 20,762,108 10,381,054 5,190,527 15,571,582 7,785,791 23,357,374 11,678,687 35,036,062 17,518,031 52,554,094 26,277,047 78,831,142 39,415,571 118,246,714 59,123,357 177,370,072 88,685,036 44,342,518 22,171,259 66,513,778 33,256,889 99,770,668 49,885,334 24,942,667 74,828,002 37,414,001 112,242,004 56,121,002 28,060,501 84,181,504 42,090,752 21,045,376 10,522,688 5,261,344 2,630,672 1,315,336

More profiles

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