λ
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2,155,308

22 × 3 × 293 × 613
Abundant Even Composite

2,155,308 factors as 2^2 × 3 × 293 × 613. Its 24 positive divisors give a proper-divisor sum of 2,899,140, so this integer is abundant. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 293 × 613
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,054,448
Proper Divisor Sum 2,899,140
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2155297 ← → #2155319

Radix Representation

Decimal 2155308
Binary 1000001110001100101100 (22 bits)
Octal 0o10161454
Hexadecimal 0x20E32C

Divisor Catalog (24)

1 2 3 4 6 12 293 586 613 879 1,172 1,226 1,758 1,839 2,452 3,516 3,678 7,356 179,609 359,218 538,827 718,436 1,077,654 2,155,308

Collatz Trajectory (122 steps to reach 1)

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

2,155,308 1,077,654 538,827 1,616,482 808,241 2,424,724 1,212,362 606,181 1,818,544 909,272 454,636 227,318 113,659 340,978 170,489 511,468 255,734 127,867 383,602 191,801 575,404 287,702 143,851 431,554 215,777 647,332 323,666 161,833 485,500 242,750 121,375 364,126 182,063 546,190 273,095 819,286 409,643 1,228,930 614,465 1,843,396 921,698 460,849 1,382,548 691,274 345,637 1,036,912 518,456 259,228 129,614 64,807 194,422 97,211 291,634 145,817 437,452 218,726 109,363 328,090 164,045 492,136

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