454,329

3⁴ × 71 × 79

454,329 factors as 3^4 × 71 × 79. Its 20 positive divisors give a proper-divisor sum of 242,631, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 3^4 × 71 × 79

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 696,960

Proper Divisor Sum 242,631

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #454313 ← → #454331

Radix Representation

Decimal	454329
Binary	1101110111010111001 (19 bits)
Octal	0o1567271
Hexadecimal	0x6EEB9

Divisor Catalog (20)

1 3 9 27 71 79 81 213 237 639 711 1,917 2,133 5,609 5,751 6,399 16,827 50,481 151,443 454,329

Collatz Trajectory (107 steps to reach 1)

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

454,329 1,362,988 681,494 340,747 1,022,242 511,121 1,533,364 766,682 383,341 1,150,024 575,012 287,506 143,753 431,260 215,630 107,815 323,446 161,723 485,170 242,585 727,756 363,878 181,939 545,818 272,909 818,728 409,364 204,682 102,341 307,024 153,512 76,756 38,378 19,189 57,568 28,784 14,392 7,196 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481

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