λ
Match Zalai

2,118,452

22 × 7 × 75659
Abundant Even Composite

2,118,452 factors as 2^2 × 7 × 75659. Its 12 positive divisors give a proper-divisor sum of 2,118,508, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 75659
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,236,960
Proper Divisor Sum 2,118,508
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2118449 ← → #2118491

Radix Representation

Decimal 2118452
Binary 1000000101001100110100 (22 bits)
Octal 0o10051464
Hexadecimal 0x205334

Divisor Catalog (12)

1 2 4 7 14 28 75,659 151,318 302,636 529,613 1,059,226 2,118,452

Collatz Trajectory (104 steps to reach 1)

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

2,118,452 1,059,226 529,613 1,588,840 794,420 397,210 198,605 595,816 297,908 148,954 74,477 223,432 111,716 55,858 27,929 83,788 41,894 20,947 62,842 31,421 94,264 47,132 23,566 11,783 35,350 17,675 53,026 26,513 79,540 39,770 19,885 59,656 29,828 14,914 7,457 22,372 11,186 5,593 16,780 8,390 4,195 12,586 6,293 18,880 9,440 4,720 2,360 1,180 590 295 886 443 1,330 665 1,996 998 499 1,498 749 2,248

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