λ
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Atlas › Integer Profiles › Node 1,258,389

1,258,389

33 × 11 × 19 × 223
Deficient Odd Composite

1,258,389 factors as 3^3 × 11 × 19 × 223. Its 32 positive divisors give a proper-divisor sum of 892,011, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 19 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,150,400
Proper Divisor Sum 892,011
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1258373 ← → #1258403

Radix Representation

Decimal 1258389
Binary 100110011001110010101 (21 bits)
Octal 0o4631625
Hexadecimal 0x133395

Divisor Catalog (32)

1 3 9 11 19 27 33 57 99 171 209 223 297 513 627 669 1,881 2,007 2,453 4,237 5,643 6,021 7,359 12,711 22,077 38,133 46,607 66,231 114,399 139,821 419,463 1,258,389

Collatz Trajectory (173 steps to reach 1)

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

1,258,389 3,775,168 1,887,584 943,792 471,896 235,948 117,974 58,987 176,962 88,481 265,444 132,722 66,361 199,084 99,542 49,771 149,314 74,657 223,972 111,986 55,993 167,980 83,990 41,995 125,986 62,993 188,980 94,490 47,245 141,736 70,868 35,434 17,717 53,152 26,576 13,288 6,644 3,322 1,661 4,984 2,492 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333

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