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Atlas › Integer Profiles › Node 1,479,984

1,479,984

24 × 3 × 11 × 2803
Abundant Even Composite

1,479,984 factors as 2^4 × 3 × 11 × 2803. Its 40 positive divisors give a proper-divisor sum of 2,692,368, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 2803
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,172,352
Proper Divisor Sum 2,692,368
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1479941 ← → #1479991

Radix Representation

Decimal 1479984
Binary 101101001010100110000 (21 bits)
Octal 0o5512460
Hexadecimal 0x169530

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 2,803 5,606 8,409 11,212 16,818 22,424 30,833 33,636 44,848 61,666 67,272 92,499 123,332 134,544 184,998 246,664 369,996 493,328 739,992 1,479,984

Collatz Trajectory (168 steps to reach 1)

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

1,479,984 739,992 369,996 184,998 92,499 277,498 138,749 416,248 208,124 104,062 52,031 156,094 78,047 234,142 117,071 351,214 175,607 526,822 263,411 790,234 395,117 1,185,352 592,676 296,338 148,169 444,508 222,254 111,127 333,382 166,691 500,074 250,037 750,112 375,056 187,528 93,764 46,882 23,441 70,324 35,162 17,581 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394

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