744,385

5 × 53³

744,385 factors as 5 × 53^3. Its 8 positive divisors give a proper-divisor sum of 166,055, so this integer is deficient. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 5 × 53^3

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 910,440

Proper Divisor Sum 166,055

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #744377 ← → #744389

Radix Representation

Decimal	744385
Binary	10110101101111000001 (20 bits)
Octal	0o2655701
Hexadecimal	0xB5BC1

Divisor Catalog (8)

1 5 53 265 2,809 14,045 148,877 744,385

Collatz Trajectory (162 steps to reach 1)

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

744,385 2,233,156 1,116,578 558,289 1,674,868 837,434 418,717 1,256,152 628,076 314,038 157,019 471,058 235,529 706,588 353,294 176,647 529,942 264,971 794,914 397,457 1,192,372 596,186 298,093 894,280 447,140 223,570 111,785 335,356 167,678 83,839 251,518 125,759 377,278 188,639 565,918 282,959 848,878 424,439 1,273,318 636,659 1,909,978 954,989 2,864,968 1,432,484 716,242 358,121 1,074,364 537,182 268,591 805,774 402,887 1,208,662 604,331 1,812,994 906,497 2,719,492 1,359,746 679,873 2,039,620 1,019,810

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