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Atlas › Integer Profiles › Node 1,199,502

1,199,502

2 × 33 × 97 × 229
Abundant Even Composite

1,199,502 factors as 2 × 3^3 × 97 × 229. Its 32 positive divisors give a proper-divisor sum of 1,505,298, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 97 × 229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,704,800
Proper Divisor Sum 1,505,298
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1199491 ← → #1199507

Radix Representation

Decimal 1199502
Binary 100100100110110001110 (21 bits)
Octal 0o4446616
Hexadecimal 0x124D8E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 97 194 229 291 458 582 687 873 1,374 1,746 2,061 2,619 4,122 5,238 6,183 12,366 22,213 44,426 66,639 133,278 199,917 399,834 599,751 1,199,502

Collatz Trajectory (90 steps to reach 1)

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

1,199,502 599,751 1,799,254 899,627 2,698,882 1,349,441 4,048,324 2,024,162 1,012,081 3,036,244 1,518,122 759,061 2,277,184 1,138,592 569,296 284,648 142,324 71,162 35,581 106,744 53,372 26,686 13,343 40,030 20,015 60,046 30,023 90,070 45,035 135,106 67,553 202,660 101,330 50,665 151,996 75,998 37,999 113,998 56,999 170,998 85,499 256,498 128,249 384,748 192,374 96,187 288,562 144,281 432,844 216,422 108,211 324,634 162,317 486,952 243,476 121,738 60,869 182,608 91,304 45,652

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