λ
Ratio Atlas
Atlas › Integer Profiles › Node 894,642

894,642

2 × 3 × 72 × 17 × 179
Abundant Even Composite

894,642 factors as 2 × 3 × 7^2 × 17 × 179. Its 48 positive divisors give a proper-divisor sum of 1,321,518, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 17 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,216,160
Proper Divisor Sum 1,321,518
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #894637 ← → #894643

Radix Representation

Decimal 894642
Binary 11011010011010110010 (20 bits)
Octal 0o3323262
Hexadecimal 0xDA6B2

Divisor Catalog (48)

1 2 3 6 7 14 17 21 34 42 49 51 98 102 119 147 179 238 294 357 358 537 714 833 1,074 1,253 1,666 2,499 2,506 3,043 3,759 4,998 6,086 7,518 8,771 9,129 17,542 18,258 21,301 26,313 42,602 52,626 63,903 127,806 149,107 298,214 447,321 894,642

Collatz Trajectory (95 steps to reach 1)

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

894,642 447,321 1,341,964 670,982 335,491 1,006,474 503,237 1,509,712 754,856 377,428 188,714 94,357 283,072 141,536 70,768 35,384 17,692 8,846 4,423 13,270 6,635 19,906 9,953 29,860 14,930 7,465 22,396 11,198 5,599 16,798 8,399 25,198 12,599 37,798 18,899 56,698 28,349 85,048 42,524 21,262 10,631 31,894 15,947 47,842 23,921 71,764 35,882 17,941 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #894,641 Browse Full Index Next Integer #894,643 →