λ
Ratio Atlas
Atlas › Integer Profiles › Node 726,912

726,912

27 × 32 × 631
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3^2 × 631
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,095,080
Proper Divisor Sum 1,368,168
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #726911 ← → #726917

Radix Representation

Decimal 726912
Binary 10110001011110000000 (20 bits)
Octal 0o2613600
Hexadecimal 0xB1780

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 631 1,152 1,262 1,893 2,524 3,786 5,048 5,679 7,572 10,096 11,358 15,144 20,192 22,716 30,288 40,384 45,432 60,576 80,768 90,864 121,152 181,728 242,304 363,456 726,912

Collatz Trajectory (167 steps to reach 1)

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

726,912 363,456 181,728 90,864 45,432 22,716 11,358 5,679 17,038 8,519 25,558 12,779 38,338 19,169 57,508 28,754 14,377 43,132 21,566 10,783 32,350 16,175 48,526 24,263 72,790 36,395 109,186 54,593 163,780 81,890 40,945 122,836 61,418 30,709 92,128 46,064 23,032 11,516 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #726,911 Browse Full Index Next Integer #726,913 →