7,764,563

17² × 67 × 401

For 7,764,563, the 12 positive divisors have a total of 8,392,152. Removing 7,764,563 leaves 627,589, which gives the deficient classification.

Prime Factor Structure

Factorization String 17^2 × 67 × 401

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 8,392,152

Proper Divisor Sum 627,589

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #7764527 ← → #7764599

Radix Representation

Decimal	7764563
Binary	11101100111101001010011 (23 bits)
Octal	0o35475123
Hexadecimal	0x767A53

Divisor Catalog (12)

1 17 67 289 401 1,139 6,817 19,363 26,867 115,889 456,739 7,764,563

Collatz Trajectory (98 steps to reach 1)

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

7,764,563 23,293,690 11,646,845 34,940,536 17,470,268 8,735,134 4,367,567 13,102,702 6,551,351 19,654,054 9,827,027 29,481,082 14,740,541 44,221,624 22,110,812 11,055,406 5,527,703 16,583,110 8,291,555 24,874,666 12,437,333 37,312,000 18,656,000 9,328,000 4,664,000 2,332,000 1,166,000 583,000 291,500 145,750 72,875 218,626 109,313 327,940 163,970 81,985 245,956 122,978 61,489 184,468 92,234 46,117 138,352 69,176 34,588 17,294 8,647 25,942 12,971 38,914 19,457 58,372 29,186 14,593 43,780 21,890 10,945 32,836 16,418 8,209

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