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Atlas › Integer Profiles › Node 1,490,322

1,490,322

2 × 3 × 17 × 19 × 769
Abundant Even Composite

1,490,322 factors as 2 × 3 × 17 × 19 × 769. Its 32 positive divisors give a proper-divisor sum of 1,836,078, so this integer is abundant. The Collatz stopping time is 119 steps.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 19 × 769
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,326,400
Proper Divisor Sum 1,836,078
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1490317 ← → #1490327

Radix Representation

Decimal 1490322
Binary 101101011110110010010 (21 bits)
Octal 0o5536622
Hexadecimal 0x16BD92

Divisor Catalog (32)

1 2 3 6 17 19 34 38 51 57 102 114 323 646 769 969 1,538 1,938 2,307 4,614 13,073 14,611 26,146 29,222 39,219 43,833 78,438 87,666 248,387 496,774 745,161 1,490,322

Collatz Trajectory (119 steps to reach 1)

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

1,490,322 745,161 2,235,484 1,117,742 558,871 1,676,614 838,307 2,514,922 1,257,461 3,772,384 1,886,192 943,096 471,548 235,774 117,887 353,662 176,831 530,494 265,247 795,742 397,871 1,193,614 596,807 1,790,422 895,211 2,685,634 1,342,817 4,028,452 2,014,226 1,007,113 3,021,340 1,510,670 755,335 2,266,006 1,133,003 3,399,010 1,699,505 5,098,516 2,549,258 1,274,629 3,823,888 1,911,944 955,972 477,986 238,993 716,980 358,490 179,245 537,736 268,868 134,434 67,217 201,652 100,826 50,413 151,240 75,620 37,810 18,905 56,716

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