765,221

17 × 45013

For 765,221, the 4 positive divisors have a total of 810,252. Removing 765,221 leaves 45,031, which gives the deficient classification.

Prime Factor Structure

Factorization String 17 × 45013

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 810,252

Proper Divisor Sum 45,031

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #765211 ← → #765227

Radix Representation

Decimal	765221
Binary	10111010110100100101 (20 bits)
Octal	0o2726445
Hexadecimal	0xBAD25

Divisor Catalog (4)

1 17 45,013 765,221

Collatz Trajectory (180 steps to reach 1)

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

765,221 2,295,664 1,147,832 573,916 286,958 143,479 430,438 215,219 645,658 322,829 968,488 484,244 242,122 121,061 363,184 181,592 90,796 45,398 22,699 68,098 34,049 102,148 51,074 25,537 76,612 38,306 19,153 57,460 28,730 14,365 43,096 21,548 10,774 5,387 16,162 8,081 24,244 12,122 6,061 18,184 9,092 4,546 2,273 6,820 3,410 1,705 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158

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