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Atlas › Integer Profiles › Node 1,259,615

1,259,615

5 × 7 × 17 × 29 × 73
Deficient Odd Composite

1,259,615 factors as 5 × 7 × 17 × 29 × 73. Its 32 positive divisors give a proper-divisor sum of 658,465, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 5 × 7 × 17 × 29 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 1,918,080
Proper Divisor Sum 658,465
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #1259603 ← → #1259627

Radix Representation

Decimal 1259615
Binary 100110011100001011111 (21 bits)
Octal 0o4634137
Hexadecimal 0x13385F

Divisor Catalog (32)

1 5 7 17 29 35 73 85 119 145 203 365 493 511 595 1,015 1,241 2,117 2,465 2,555 3,451 6,205 8,687 10,585 14,819 17,255 35,989 43,435 74,095 179,945 251,923 1,259,615

Collatz Trajectory (173 steps to reach 1)

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

1,259,615 3,778,846 1,889,423 5,668,270 2,834,135 8,502,406 4,251,203 12,753,610 6,376,805 19,130,416 9,565,208 4,782,604 2,391,302 1,195,651 3,586,954 1,793,477 5,380,432 2,690,216 1,345,108 672,554 336,277 1,008,832 504,416 252,208 126,104 63,052 31,526 15,763 47,290 23,645 70,936 35,468 17,734 8,867 26,602 13,301 39,904 19,952 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333

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