λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,601,434

1,601,434

2 × 17 × 19 × 37 × 67
Deficient Even Composite

1,601,434 factors as 2 × 17 × 19 × 37 × 67. Its 32 positive divisors give a proper-divisor sum of 1,189,286, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 17 × 19 × 37 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,790,720
Proper Divisor Sum 1,189,286
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1601423 ← → #1601441

Radix Representation

Decimal 1601434
Binary 110000110111110011010 (21 bits)
Octal 0o6067632
Hexadecimal 0x186F9A

Divisor Catalog (32)

1 2 17 19 34 37 38 67 74 134 323 629 646 703 1,139 1,258 1,273 1,406 2,278 2,479 2,546 4,958 11,951 21,641 23,902 42,143 43,282 47,101 84,286 94,202 800,717 1,601,434

Collatz Trajectory (163 steps to reach 1)

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

1,601,434 800,717 2,402,152 1,201,076 600,538 300,269 900,808 450,404 225,202 112,601 337,804 168,902 84,451 253,354 126,677 380,032 190,016 95,008 47,504 23,752 11,876 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #1,601,433 Browse Full Index Next Integer #1,601,435 →