744,512

2⁶ × 11633

744,512 factors as 2^6 × 11633. Its 14 positive divisors give a proper-divisor sum of 733,006, so this integer is deficient. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^6 × 11633

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 14

Divisor Sum (σ) 1,477,518

Proper Divisor Sum 733,006

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #744511 ← → #744539

Radix Representation

Decimal	744512
Binary	10110101110001000000 (20 bits)
Octal	0o2656100
Hexadecimal	0xB5C40

Divisor Catalog (14)

1 2 4 8 16 32 64 11,633 23,266 46,532 93,064 186,128 372,256 744,512

Collatz Trajectory (56 steps to reach 1)

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

744,512 372,256 186,128 93,064 46,532 23,266 11,633 34,900 17,450 8,725 26,176 13,088 6,544 3,272 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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