1,002,159

3³ × 37117

1,002,159 factors as 3^3 × 37117. Its 8 positive divisors give a proper-divisor sum of 482,561, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 3^3 × 37117

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 1,484,720

Proper Divisor Sum 482,561

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1002151 ← → #1002173

Radix Representation

Decimal	1002159
Binary	11110100101010101111 (20 bits)
Octal	0o3645257
Hexadecimal	0xF4AAF

Divisor Catalog (8)

1 3 9 27 37,117 111,351 334,053 1,002,159

Collatz Trajectory (139 steps to reach 1)

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

1,002,159 3,006,478 1,503,239 4,509,718 2,254,859 6,764,578 3,382,289 10,146,868 5,073,434 2,536,717 7,610,152 3,805,076 1,902,538 951,269 2,853,808 1,426,904 713,452 356,726 178,363 535,090 267,545 802,636 401,318 200,659 601,978 300,989 902,968 451,484 225,742 112,871 338,614 169,307 507,922 253,961 761,884 380,942 190,471 571,414 285,707 857,122 428,561 1,285,684 642,842 321,421 964,264 482,132 241,066 120,533 361,600 180,800 90,400 45,200 22,600 11,300 5,650 2,825 8,476 4,238 2,119 6,358

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