λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,442,944

6,442,944

26 × 3 × 23 × 1459
Abundant Even Composite

6,442,944 factors as 2^6 × 3 × 23 × 1459. Its 56 positive divisors give a proper-divisor sum of 11,357,376, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 23 × 1459
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 17,800,320
Proper Divisor Sum 11,357,376
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6442939 ← → #6442979

Radix Representation

Decimal 6442944
Binary 11000100100111111000000 (23 bits)
Octal 0o30447700
Hexadecimal 0x624FC0

Divisor Catalog (56)

1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1,104 1,459 1,472 2,208 2,918 4,377 4,416 5,836 8,754 11,672 17,508 23,344 33,557 35,016 46,688 67,114 70,032 93,376 100,671 134,228 140,064 201,342 268,456 280,128 402,684 536,912 805,368 1,073,824 1,610,736 2,147,648 3,221,472 6,442,944

Collatz Trajectory (95 steps to reach 1)

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

6,442,944 3,221,472 1,610,736 805,368 402,684 201,342 100,671 302,014 151,007 453,022 226,511 679,534 339,767 1,019,302 509,651 1,528,954 764,477 2,293,432 1,146,716 573,358 286,679 860,038 430,019 1,290,058 645,029 1,935,088 967,544 483,772 241,886 120,943 362,830 181,415 544,246 272,123 816,370 408,185 1,224,556 612,278 306,139 918,418 459,209 1,377,628 688,814 344,407 1,033,222 516,611 1,549,834 774,917 2,324,752 1,162,376 581,188 290,594 145,297 435,892 217,946 108,973 326,920 163,460 81,730 40,865

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,442,943 Browse Full Index Next Integer #6,442,945 →