711,344

2⁴ × 23 × 1933

711,344 factors as 2^4 × 23 × 1933. Its 20 positive divisors give a proper-divisor sum of 727,552, so this integer is abundant. The Collatz stopping time is 97 steps.

Prime Factor Structure

Factorization String 2^4 × 23 × 1933

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,438,896

Proper Divisor Sum 727,552

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #711329 ← → #711353

Radix Representation

Decimal	711344
Binary	10101101101010110000 (20 bits)
Octal	0o2555260
Hexadecimal	0xADAB0

Divisor Catalog (20)

Collatz Trajectory (97 steps to reach 1)

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

711,344 355,672 177,836 88,918 44,459 133,378 66,689 200,068 100,034 50,017 150,052 75,026 37,513 112,540 56,270 28,135 84,406 42,203 126,610 63,305 189,916 94,958 47,479 142,438 71,219 213,658 106,829 320,488 160,244 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #711,343 Browse Full Index Next Integer #711,345 →