720,313

11² × 5953

720,313 factors as 11^2 × 5953. Its 6 positive divisors give a proper-divisor sum of 71,569, so this integer is deficient. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 11^2 × 5953

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 791,882

Proper Divisor Sum 71,569

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #720311 ← → #720319

Radix Representation

Decimal	720313
Binary	10101111110110111001 (20 bits)
Octal	0o2576671
Hexadecimal	0xAFDB9

Divisor Catalog (6)

1 11 121 5,953 65,483 720,313

Collatz Trajectory (118 steps to reach 1)

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

720,313 2,160,940 1,080,470 540,235 1,620,706 810,353 2,431,060 1,215,530 607,765 1,823,296 911,648 455,824 227,912 113,956 56,978 28,489 85,468 42,734 21,367 64,102 32,051 96,154 48,077 144,232 72,116 36,058 18,029 54,088 27,044 13,522 6,761 20,284 10,142 5,071 15,214 7,607 22,822 11,411 34,234 17,117 51,352 25,676 12,838 6,419 19,258 9,629 28,888 14,444 7,222 3,611 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430

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