1,322,056

2³ × 17 × 9721

1,322,056 factors as 2^3 × 17 × 9721. Its 16 positive divisors give a proper-divisor sum of 1,302,884, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 9721

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 2,624,940

Proper Divisor Sum 1,302,884

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1322033 ← → #1322089

Radix Representation

Decimal	1322056
Binary	101000010110001001000 (21 bits)
Octal	0o5026110
Hexadecimal	0x142C48

Divisor Catalog (16)

1 2 4 8 17 34 68 136 9,721 19,442 38,884 77,768 165,257 330,514 661,028 1,322,056

Collatz Trajectory (186 steps to reach 1)

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

1,322,056 661,028 330,514 165,257 495,772 247,886 123,943 371,830 185,915 557,746 278,873 836,620 418,310 209,155 627,466 313,733 941,200 470,600 235,300 117,650 58,825 176,476 88,238 44,119 132,358 66,179 198,538 99,269 297,808 148,904 74,452 37,226 18,613 55,840 27,920 13,960 6,980 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403

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