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Atlas › Integer Profiles › Node 1,963,458

1,963,458

2 × 32 × 7 × 15583
Abundant Even Composite

1,963,458 factors as 2 × 3^2 × 7 × 15583. Its 24 positive divisors give a proper-divisor sum of 2,898,750, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 15583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,862,208
Proper Divisor Sum 2,898,750
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1963457 ← → #1963459

Radix Representation

Decimal 1963458
Binary 111011111010111000010 (21 bits)
Octal 0o7372702
Hexadecimal 0x1DF5C2

Divisor Catalog (24)

1 2 3 6 7 9 14 18 21 42 63 126 15,583 31,166 46,749 93,498 109,081 140,247 218,162 280,494 327,243 654,486 981,729 1,963,458

Collatz Trajectory (184 steps to reach 1)

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

1,963,458 981,729 2,945,188 1,472,594 736,297 2,208,892 1,104,446 552,223 1,656,670 828,335 2,485,006 1,242,503 3,727,510 1,863,755 5,591,266 2,795,633 8,386,900 4,193,450 2,096,725 6,290,176 3,145,088 1,572,544 786,272 393,136 196,568 98,284 49,142 24,571 73,714 36,857 110,572 55,286 27,643 82,930 41,465 124,396 62,198 31,099 93,298 46,649 139,948 69,974 34,987 104,962 52,481 157,444 78,722 39,361 118,084 59,042 29,521 88,564 44,282 22,141 66,424 33,212 16,606 8,303 24,910 12,455

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