λ
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2,265,396

22 × 3 × 7 × 149 × 181
Abundant Even Composite

2,265,396 factors as 2^2 × 3 × 7 × 149 × 181. Its 48 positive divisors give a proper-divisor sum of 3,849,804, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 149 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,115,200
Proper Divisor Sum 3,849,804
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2265391 ← → #2265413

Radix Representation

Decimal 2265396
Binary 1000101001000100110100 (22 bits)
Octal 0o10510464
Hexadecimal 0x229134

Divisor Catalog (48)

1 2 3 4 6 7 12 14 21 28 42 84 149 181 298 362 447 543 596 724 894 1,043 1,086 1,267 1,788 2,086 2,172 2,534 3,129 3,801 4,172 5,068 6,258 7,602 12,516 15,204 26,969 53,938 80,907 107,876 161,814 188,783 323,628 377,566 566,349 755,132 1,132,698 2,265,396

Collatz Trajectory (91 steps to reach 1)

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

2,265,396 1,132,698 566,349 1,699,048 849,524 424,762 212,381 637,144 318,572 159,286 79,643 238,930 119,465 358,396 179,198 89,599 268,798 134,399 403,198 201,599 604,798 302,399 907,198 453,599 1,360,798 680,399 2,041,198 1,020,599 3,061,798 1,530,899 4,592,698 2,296,349 6,889,048 3,444,524 1,722,262 861,131 2,583,394 1,291,697 3,875,092 1,937,546 968,773 2,906,320 1,453,160 726,580 363,290 181,645 544,936 272,468 136,234 68,117 204,352 102,176 51,088 25,544 12,772 6,386 3,193 9,580 4,790 2,395

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