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Atlas › Integer Profiles › Node 80,964,224

80,964,224

27 × 11 × 57503
Abundant Even Composite

80,964,224 factors as 2^7 × 11 × 57503. Its 32 positive divisors give a proper-divisor sum of 94,998,016, so this integer is abundant. The Collatz stopping time is 179 steps.

Prime Factor Structure

Factorization String 2^7 × 11 × 57503
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 175,962,240
Proper Divisor Sum 94,998,016
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #80964223 ← → #80964229

Radix Representation

Decimal 80964224
Binary 100110100110110101010000000 (27 bits)
Octal 0o464665200
Hexadecimal 0x4D36A80

Divisor Catalog (32)

1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1,408 57,503 115,006 230,012 460,024 632,533 920,048 1,265,066 1,840,096 2,530,132 3,680,192 5,060,264 7,360,384 10,120,528 20,241,056 40,482,112 80,964,224

Collatz Trajectory (179 steps to reach 1)

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

80,964,224 40,482,112 20,241,056 10,120,528 5,060,264 2,530,132 1,265,066 632,533 1,897,600 948,800 474,400 237,200 118,600 59,300 29,650 14,825 44,476 22,238 11,119 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440 26,720 13,360 6,680 3,340 1,670 835 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398

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