722,720

2⁵ × 5 × 4517

722,720 has the prime decomposition 2^5 × 5 × 4517. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 4517

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,707,804

Proper Divisor Sum 985,084

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #722713 ← → #722723

Radix Representation

Decimal	722720
Binary	10110000011100100000 (20 bits)
Octal	0o2603440
Hexadecimal	0xB0720

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 4,517 9,034 18,068 22,585 36,136 45,170 72,272 90,340 144,544 180,680 361,360 722,720

Collatz Trajectory (92 steps to reach 1)

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

722,720 361,360 180,680 90,340 45,170 22,585 67,756 33,878 16,939 50,818 25,409 76,228 38,114 19,057 57,172 28,586 14,293 42,880 21,440 10,720 5,360 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

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