1,322,912

2⁵ × 41341

For 1,322,912, the 12 positive divisors have a total of 2,604,546. Removing 1,322,912 leaves 1,281,634, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^5 × 41341

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,604,546

Proper Divisor Sum 1,281,634

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #1322903 ← → #1322917

Radix Representation

Decimal	1322912
Binary	101000010111110100000 (21 bits)
Octal	0o5027640
Hexadecimal	0x142FA0

Divisor Catalog (12)

1 2 4 8 16 32 41,341 82,682 165,364 330,728 661,456 1,322,912

Collatz Trajectory (186 steps to reach 1)

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

1,322,912 661,456 330,728 165,364 82,682 41,341 124,024 62,012 31,006 15,503 46,510 23,255 69,766 34,883 104,650 52,325 156,976 78,488 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258 18,629 55,888 27,944 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403

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