λ
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Atlas › Integer Profiles › Node 723,920

723,920

24 × 5 × 9049
Abundant Even Composite

723,920 factors as 2^4 × 5 × 9049. Its 20 positive divisors give a proper-divisor sum of 959,380, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 9049
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,683,300
Proper Divisor Sum 959,380
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #723917 ← → #723923

Radix Representation

Decimal 723920
Binary 10110000101111010000 (20 bits)
Octal 0o2605720
Hexadecimal 0xB0BD0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 9,049 18,098 36,196 45,245 72,392 90,490 144,784 180,980 361,960 723,920

Collatz Trajectory (92 steps to reach 1)

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

723,920 361,960 180,980 90,490 45,245 135,736 67,868 33,934 16,967 50,902 25,451 76,354 38,177 114,532 57,266 28,633 85,900 42,950 21,475 64,426 32,213 96,640 48,320 24,160 12,080 6,040 3,020 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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