λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,736,294

2,736,294

2 × 3 × 112 × 3769
Abundant Even Composite

2,736,294 factors as 2 × 3 × 11^2 × 3769. Its 24 positive divisors give a proper-divisor sum of 3,280,626, so this integer is abundant. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11^2 × 3769
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,016,920
Proper Divisor Sum 3,280,626
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2736263 ← → #2736313

Radix Representation

Decimal 2736294
Binary 1010011100000010100110 (22 bits)
Octal 0o12340246
Hexadecimal 0x29C0A6

Divisor Catalog (24)

1 2 3 6 11 22 33 66 121 242 363 726 3,769 7,538 11,307 22,614 41,459 82,918 124,377 248,754 456,049 912,098 1,368,147 2,736,294

Collatz Trajectory (107 steps to reach 1)

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

2,736,294 1,368,147 4,104,442 2,052,221 6,156,664 3,078,332 1,539,166 769,583 2,308,750 1,154,375 3,463,126 1,731,563 5,194,690 2,597,345 7,792,036 3,896,018 1,948,009 5,844,028 2,922,014 1,461,007 4,383,022 2,191,511 6,574,534 3,287,267 9,861,802 4,930,901 14,792,704 7,396,352 3,698,176 1,849,088 924,544 462,272 231,136 115,568 57,784 28,892 14,446 7,223 21,670 10,835 32,506 16,253 48,760 24,380 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,736,293 Browse Full Index Next Integer #2,736,295 →