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Atlas › Integer Profiles › Node 1,734,005

1,734,005

5 × 7 × 13 × 37 × 103
Deficient Odd Composite

1,734,005 factors as 5 × 7 × 13 × 37 × 103. Its 32 positive divisors give a proper-divisor sum of 921,739, so this integer is deficient. The Collatz stopping time is 189 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 37 × 103
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,655,744
Proper Divisor Sum 921,739
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1733999 ← → #1734011

Radix Representation

Decimal 1734005
Binary 110100111010101110101 (21 bits)
Octal 0o6472565
Hexadecimal 0x1A7575

Divisor Catalog (32)

1 5 7 13 35 37 65 91 103 185 259 455 481 515 721 1,295 1,339 2,405 3,367 3,605 3,811 6,695 9,373 16,835 19,055 26,677 46,865 49,543 133,385 247,715 346,801 1,734,005

Collatz Trajectory (189 steps to reach 1)

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

1,734,005 5,202,016 2,601,008 1,300,504 650,252 325,126 162,563 487,690 243,845 731,536 365,768 182,884 91,442 45,721 137,164 68,582 34,291 102,874 51,437 154,312 77,156 38,578 19,289 57,868 28,934 14,467 43,402 21,701 65,104 32,552 16,276 8,138 4,069 12,208 6,104 3,052 1,526 763 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838

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