720,744

2³ × 3 × 59 × 509

For 720,744, the 32 positive divisors have a total of 1,836,000. Removing 720,744 leaves 1,115,256, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^3 × 3 × 59 × 509

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,836,000

Proper Divisor Sum 1,115,256

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #720743 ← → #720763

Radix Representation

Decimal	720744
Binary	10101111111101101000 (20 bits)
Octal	0o2577550
Hexadecimal	0xAFF68

Divisor Catalog (32)

1 2 3 4 6 8 12 24 59 118 177 236 354 472 509 708 1,018 1,416 1,527 2,036 3,054 4,072 6,108 12,216 30,031 60,062 90,093 120,124 180,186 240,248 360,372 720,744

Collatz Trajectory (105 steps to reach 1)

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

720,744 360,372 180,186 90,093 270,280 135,140 67,570 33,785 101,356 50,678 25,339 76,018 38,009 114,028 57,014 28,507 85,522 42,761 128,284 64,142 32,071 96,214 48,107 144,322 72,161 216,484 108,242 54,121 162,364 81,182 40,591 121,774 60,887 182,662 91,331 273,994 136,997 410,992 205,496 102,748 51,374 25,687 77,062 38,531 115,594 57,797 173,392 86,696 43,348 21,674 10,837 32,512 16,256 8,128 4,064 2,032 1,016 508 254 127

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