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Atlas › Integer Profiles › Node 2,677,784

2,677,784

23 × 19 × 79 × 223
Abundant Even Composite

2,677,784 factors as 2^3 × 19 × 79 × 223. Its 32 positive divisors give a proper-divisor sum of 2,698,216, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 79 × 223
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,376,000
Proper Divisor Sum 2,698,216
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #2677783 ← → #2677793

Radix Representation

Decimal 2677784
Binary 1010001101110000011000 (22 bits)
Octal 0o12156030
Hexadecimal 0x28DC18

Divisor Catalog (32)

1 2 4 8 19 38 76 79 152 158 223 316 446 632 892 1,501 1,784 3,002 4,237 6,004 8,474 12,008 16,948 17,617 33,896 35,234 70,468 140,936 334,723 669,446 1,338,892 2,677,784

Collatz Trajectory (169 steps to reach 1)

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

2,677,784 1,338,892 669,446 334,723 1,004,170 502,085 1,506,256 753,128 376,564 188,282 94,141 282,424 141,212 70,606 35,303 105,910 52,955 158,866 79,433 238,300 119,150 59,575 178,726 89,363 268,090 134,045 402,136 201,068 100,534 50,267 150,802 75,401 226,204 113,102 56,551 169,654 84,827 254,482 127,241 381,724 190,862 95,431 286,294 143,147 429,442 214,721 644,164 322,082 161,041 483,124 241,562 120,781 362,344 181,172 90,586 45,293 135,880 67,940 33,970 16,985

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