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Atlas › Integer Profiles › Node 76,861,330

76,861,330

2 × 5 × 7 × 13 × 84463
Abundant Even Composite

76,861,330 factors as 2 × 5 × 7 × 13 × 84463. Its 32 positive divisors give a proper-divisor sum of 93,418,094, so this integer is abundant. The Collatz stopping time is 96 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 84463
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 170,279,424
Proper Divisor Sum 93,418,094
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #76861319 ← → #76861333

Radix Representation

Decimal 76861330
Binary 100100101001100111110010010 (27 bits)
Octal 0o445147622
Hexadecimal 0x494CF92

Divisor Catalog (32)

1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 84,463 168,926 422,315 591,241 844,630 1,098,019 1,182,482 2,196,038 2,956,205 5,490,095 5,912,410 7,686,133 10,980,190 15,372,266 38,430,665 76,861,330

Collatz Trajectory (96 steps to reach 1)

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

76,861,330 38,430,665 115,291,996 57,645,998 28,822,999 86,468,998 43,234,499 129,703,498 64,851,749 194,555,248 97,277,624 48,638,812 24,319,406 12,159,703 36,479,110 18,239,555 54,718,666 27,359,333 82,078,000 41,039,000 20,519,500 10,259,750 5,129,875 15,389,626 7,694,813 23,084,440 11,542,220 5,771,110 2,885,555 8,656,666 4,328,333 12,985,000 6,492,500 3,246,250 1,623,125 4,869,376 2,434,688 1,217,344 608,672 304,336 152,168 76,084 38,042 19,021 57,064 28,532 14,266 7,133 21,400 10,700 5,350 2,675 8,026 4,013 12,040 6,020 3,010 1,505 4,516 2,258

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