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2,020,752

24 × 32 × 14033
Abundant Even Composite

2,020,752 factors as 2^4 × 3^2 × 14033. Its 30 positive divisors give a proper-divisor sum of 3,634,950, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 14033
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 5,655,702
Proper Divisor Sum 3,634,950
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2020729 ← → #2020771

Radix Representation

Decimal 2020752
Binary 111101101010110010000 (21 bits)
Octal 0o7552620
Hexadecimal 0x1ED590

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 14,033 28,066 42,099 56,132 84,198 112,264 126,297 168,396 224,528 252,594 336,792 505,188 673,584 1,010,376 2,020,752

Collatz Trajectory (109 steps to reach 1)

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

2,020,752 1,010,376 505,188 252,594 126,297 378,892 189,446 94,723 284,170 142,085 426,256 213,128 106,564 53,282 26,641 79,924 39,962 19,981 59,944 29,972 14,986 7,493 22,480 11,240 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158

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