λ
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Atlas › Integer Profiles › Node 2,851,672

2,851,672

23 × 19 × 73 × 257
Abundant Even Composite

2,851,672 factors as 2^3 × 19 × 73 × 257. Its 32 positive divisors give a proper-divisor sum of 2,875,928, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 73 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,727,600
Proper Divisor Sum 2,875,928
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #2851661 ← → #2851727

Radix Representation

Decimal 2851672
Binary 1010111000001101011000 (22 bits)
Octal 0o12701530
Hexadecimal 0x2B8358

Divisor Catalog (32)

1 2 4 8 19 38 73 76 146 152 257 292 514 584 1,028 1,387 2,056 2,774 4,883 5,548 9,766 11,096 18,761 19,532 37,522 39,064 75,044 150,088 356,459 712,918 1,425,836 2,851,672

Collatz Trajectory (187 steps to reach 1)

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

2,851,672 1,425,836 712,918 356,459 1,069,378 534,689 1,604,068 802,034 401,017 1,203,052 601,526 300,763 902,290 451,145 1,353,436 676,718 338,359 1,015,078 507,539 1,522,618 761,309 2,283,928 1,141,964 570,982 285,491 856,474 428,237 1,284,712 642,356 321,178 160,589 481,768 240,884 120,442 60,221 180,664 90,332 45,166 22,583 67,750 33,875 101,626 50,813 152,440 76,220 38,110 19,055 57,166 28,583 85,750 42,875 128,626 64,313 192,940 96,470 48,235 144,706 72,353 217,060 108,530

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