λ
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Atlas › Integer Profiles › Node 2,772,124

2,772,124

22 × 43 × 71 × 227
Deficient Even Composite

Starting at 2,772,124, the Collatz iteration reaches 1 after 187 steps. The first transition is 1386062; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 43 × 71 × 227
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 5,056,128
Proper Divisor Sum 2,284,004
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2772101 ← → #2772127

Radix Representation

Decimal 2772124
Binary 1010100100110010011100 (22 bits)
Octal 0o12446234
Hexadecimal 0x2A4C9C

Divisor Catalog (24)

1 2 4 43 71 86 142 172 227 284 454 908 3,053 6,106 9,761 12,212 16,117 19,522 32,234 39,044 64,468 693,031 1,386,062 2,772,124

Collatz Trajectory (187 steps to reach 1)

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

2,772,124 1,386,062 693,031 2,079,094 1,039,547 3,118,642 1,559,321 4,677,964 2,338,982 1,169,491 3,508,474 1,754,237 5,262,712 2,631,356 1,315,678 657,839 1,973,518 986,759 2,960,278 1,480,139 4,440,418 2,220,209 6,660,628 3,330,314 1,665,157 4,995,472 2,497,736 1,248,868 624,434 312,217 936,652 468,326 234,163 702,490 351,245 1,053,736 526,868 263,434 131,717 395,152 197,576 98,788 49,394 24,697 74,092 37,046 18,523 55,570 27,785 83,356 41,678 20,839 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502

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