λ
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2,277,408

25 × 3 × 7 × 3389
Abundant Even Composite

2,277,408 factors as 2^5 × 3 × 7 × 3389. Its 48 positive divisors give a proper-divisor sum of 4,556,832, so this integer is abundant. The Collatz stopping time is 78 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 3389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,834,240
Proper Divisor Sum 4,556,832
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2277403 ← → #2277413

Radix Representation

Decimal 2277408
Binary 1000101100000000100000 (22 bits)
Octal 0o10540040
Hexadecimal 0x22C020

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3,389 6,778 10,167 13,556 20,334 23,723 27,112 40,668 47,446 54,224 71,169 81,336 94,892 108,448 142,338 162,672 189,784 284,676 325,344 379,568 569,352 759,136 1,138,704 2,277,408

Collatz Trajectory (78 steps to reach 1)

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

2,277,408 1,138,704 569,352 284,676 142,338 71,169 213,508 106,754 53,377 160,132 80,066 40,033 120,100 60,050 30,025 90,076 45,038 22,519 67,558 33,779 101,338 50,669 152,008 76,004 38,002 19,001 57,004 28,502 14,251 42,754 21,377 64,132 32,066 16,033 48,100 24,050 12,025 36,076 18,038 9,019 27,058 13,529 40,588 20,294 10,147 30,442 15,221 45,664 22,832 11,416 5,708 2,854 1,427 4,282 2,141 6,424 3,212 1,606 803 2,410

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