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2,773,784

23 × 13 × 149 × 179
Abundant Even Composite

2,773,784 factors as 2^3 × 13 × 149 × 179. Its 32 positive divisors give a proper-divisor sum of 2,896,216, so this integer is abundant. The Collatz stopping time is 76 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 149 × 179
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,670,000
Proper Divisor Sum 2,896,216
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #2773759 ← → #2773789

Radix Representation

Decimal 2773784
Binary 1010100101001100011000 (22 bits)
Octal 0o12451430
Hexadecimal 0x2A5318

Divisor Catalog (32)

1 2 4 8 13 26 52 104 149 179 298 358 596 716 1,192 1,432 1,937 2,327 3,874 4,654 7,748 9,308 15,496 18,616 26,671 53,342 106,684 213,368 346,723 693,446 1,386,892 2,773,784

Collatz Trajectory (76 steps to reach 1)

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

2,773,784 1,386,892 693,446 346,723 1,040,170 520,085 1,560,256 780,128 390,064 195,032 97,516 48,758 24,379 73,138 36,569 109,708 54,854 27,427 82,282 41,141 123,424 61,712 30,856 15,428 7,714 3,857 11,572 5,786 2,893 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14

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