756,345

3 × 5 × 50423

756,345 factors as 3 × 5 × 50423. Its 8 positive divisors give a proper-divisor sum of 453,831, so this integer is deficient. The Collatz stopping time is 224 steps.

Prime Factor Structure

Factorization String 3 × 5 × 50423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,210,176

Proper Divisor Sum 453,831

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #756331 ← → #756373

Radix Representation

Decimal	756345
Binary	10111000101001111001 (20 bits)
Octal	0o2705171
Hexadecimal	0xB8A79

Divisor Catalog (8)

1 3 5 15 50,423 151,269 252,115 756,345

Collatz Trajectory (224 steps to reach 1)

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

756,345 2,269,036 1,134,518 567,259 1,701,778 850,889 2,552,668 1,276,334 638,167 1,914,502 957,251 2,871,754 1,435,877 4,307,632 2,153,816 1,076,908 538,454 269,227 807,682 403,841 1,211,524 605,762 302,881 908,644 454,322 227,161 681,484 340,742 170,371 511,114 255,557 766,672 383,336 191,668 95,834 47,917 143,752 71,876 35,938 17,969 53,908 26,954 13,477 40,432 20,216 10,108 5,054 2,527 7,582 3,791 11,374 5,687 17,062 8,531 25,594 12,797 38,392 19,196 9,598 4,799

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