λ
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2,043,920

24 × 5 × 29 × 881
Abundant Even Composite

2,043,920 factors as 2^4 × 5 × 29 × 881. Its 40 positive divisors give a proper-divisor sum of 2,877,640, so this integer is abundant. The Collatz stopping time is 153 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 29 × 881
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,921,560
Proper Divisor Sum 2,877,640
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2043911 ← → #2043931

Radix Representation

Decimal 2043920
Binary 111110011000000010000 (21 bits)
Octal 0o7630020
Hexadecimal 0x1F3010

Divisor Catalog (40)

1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 881 1,160 1,762 2,320 3,524 4,405 7,048 8,810 14,096 17,620 25,549 35,240 51,098 70,480 102,196 127,745 204,392 255,490 408,784 510,980 1,021,960 2,043,920

Collatz Trajectory (153 steps to reach 1)

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

2,043,920 1,021,960 510,980 255,490 127,745 383,236 191,618 95,809 287,428 143,714 71,857 215,572 107,786 53,893 161,680 80,840 40,420 20,210 10,105 30,316 15,158 7,579 22,738 11,369 34,108 17,054 8,527 25,582 12,791 38,374 19,187 57,562 28,781 86,344 43,172 21,586 10,793 32,380 16,190 8,095 24,286 12,143 36,430 18,215 54,646 27,323 81,970 40,985 122,956 61,478 30,739 92,218 46,109 138,328 69,164 34,582 17,291 51,874 25,937 77,812

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