1,456,574

2 × 7² × 89 × 167

For 1,456,574, the 24 positive divisors have a total of 2,585,520. Removing 1,456,574 leaves 1,128,946, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 7^2 × 89 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,585,520

Proper Divisor Sum 1,128,946

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #1456561 ← → #1456603

Radix Representation

Decimal	1456574
Binary	101100011100110111110 (21 bits)
Octal	0o5434676
Hexadecimal	0x1639BE

Divisor Catalog (24)

1 2 7 14 49 89 98 167 178 334 623 1,169 1,246 2,338 4,361 8,183 8,722 14,863 16,366 29,726 104,041 208,082 728,287 1,456,574

Collatz Trajectory (212 steps to reach 1)

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

1,456,574 728,287 2,184,862 1,092,431 3,277,294 1,638,647 4,915,942 2,457,971 7,373,914 3,686,957 11,060,872 5,530,436 2,765,218 1,382,609 4,147,828 2,073,914 1,036,957 3,110,872 1,555,436 777,718 388,859 1,166,578 583,289 1,749,868 874,934 437,467 1,312,402 656,201 1,968,604 984,302 492,151 1,476,454 738,227 2,214,682 1,107,341 3,322,024 1,661,012 830,506 415,253 1,245,760 622,880 311,440 155,720 77,860 38,930 19,465 58,396 29,198 14,599 43,798 21,899 65,698 32,849 98,548 49,274 24,637 73,912 36,956 18,478 9,239

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