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Atlas › Integer Profiles › Node 2,181,466

2,181,466

2 × 7 × 19 × 59 × 139
Deficient Even Composite

2,181,466 factors as 2 × 7 × 19 × 59 × 139. Its 32 positive divisors give a proper-divisor sum of 1,850,534, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 7 × 19 × 59 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,032,000
Proper Divisor Sum 1,850,534
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #2181463 ← → #2181469

Radix Representation

Decimal 2181466
Binary 1000010100100101011010 (22 bits)
Octal 0o10244532
Hexadecimal 0x21495A

Divisor Catalog (32)

1 2 7 14 19 38 59 118 133 139 266 278 413 826 973 1,121 1,946 2,242 2,641 5,282 7,847 8,201 15,694 16,402 18,487 36,974 57,407 114,814 155,819 311,638 1,090,733 2,181,466

Collatz Trajectory (197 steps to reach 1)

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

2,181,466 1,090,733 3,272,200 1,636,100 818,050 409,025 1,227,076 613,538 306,769 920,308 460,154 230,077 690,232 345,116 172,558 86,279 258,838 129,419 388,258 194,129 582,388 291,194 145,597 436,792 218,396 109,198 54,599 163,798 81,899 245,698 122,849 368,548 184,274 92,137 276,412 138,206 69,103 207,310 103,655 310,966 155,483 466,450 233,225 699,676 349,838 174,919 524,758 262,379 787,138 393,569 1,180,708 590,354 295,177 885,532 442,766 221,383 664,150 332,075 996,226 498,113

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