λ
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2,561,406

2 × 3 × 31 × 47 × 293
Abundant Even Composite

2,561,406 factors as 2 × 3 × 31 × 47 × 293. Its 32 positive divisors give a proper-divisor sum of 2,857,602, so this integer is abundant. The Collatz stopping time is 125 steps.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 47 × 293
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,419,008
Proper Divisor Sum 2,857,602
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2561401 ← → #2561411

Radix Representation

Decimal 2561406
Binary 1001110001010101111110 (22 bits)
Octal 0o11612576
Hexadecimal 0x27157E

Divisor Catalog (32)

1 2 3 6 31 47 62 93 94 141 186 282 293 586 879 1,457 1,758 2,914 4,371 8,742 9,083 13,771 18,166 27,249 27,542 41,313 54,498 82,626 426,901 853,802 1,280,703 2,561,406

Collatz Trajectory (125 steps to reach 1)

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

2,561,406 1,280,703 3,842,110 1,921,055 5,763,166 2,881,583 8,644,750 4,322,375 12,967,126 6,483,563 19,450,690 9,725,345 29,176,036 14,588,018 7,294,009 21,882,028 10,941,014 5,470,507 16,411,522 8,205,761 24,617,284 12,308,642 6,154,321 18,462,964 9,231,482 4,615,741 13,847,224 6,923,612 3,461,806 1,730,903 5,192,710 2,596,355 7,789,066 3,894,533 11,683,600 5,841,800 2,920,900 1,460,450 730,225 2,190,676 1,095,338 547,669 1,643,008 821,504 410,752 205,376 102,688 51,344 25,672 12,836 6,418 3,209 9,628 4,814 2,407 7,222 3,611 10,834 5,417 16,252

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