979,352

2³ × 11 × 31 × 359

979,352 has the prime decomposition 2^3 × 11 × 31 × 359. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 11 × 31 × 359

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 2,073,600

Proper Divisor Sum 1,094,248

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #979343 ← → #979361

Radix Representation

Decimal	979352
Binary	11101111000110011000 (20 bits)
Octal	0o3570630
Hexadecimal	0xEF198

Divisor Catalog (32)

1 2 4 8 11 22 31 44 62 88 124 248 341 359 682 718 1,364 1,436 2,728 2,872 3,949 7,898 11,129 15,796 22,258 31,592 44,516 89,032 122,419 244,838 489,676 979,352

Collatz Trajectory (183 steps to reach 1)

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

979,352 489,676 244,838 122,419 367,258 183,629 550,888 275,444 137,722 68,861 206,584 103,292 51,646 25,823 77,470 38,735 116,206 58,103 174,310 87,155 261,466 130,733 392,200 196,100 98,050 49,025 147,076 73,538 36,769 110,308 55,154 27,577 82,732 41,366 20,683 62,050 31,025 93,076 46,538 23,269 69,808 34,904 17,452 8,726 4,363 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036

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