λ
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Atlas › Integer Profiles › Node 78,887,908

78,887,908

22 × 11 × 499 × 3593
Deficient Even Composite

78,887,908 factors as 2^2 × 11 × 499 × 3593. Its 24 positive divisors give a proper-divisor sum of 72,060,092, so this integer is deficient. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 499 × 3593
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 150,948,000
Proper Divisor Sum 72,060,092
Digit Sum / Digital Root 55 (Root: 1)
Adjacent Primes #78887881 ← → #78887911

Radix Representation

Decimal 78887908
Binary 100101100111011101111100100 (27 bits)
Octal 0o454735744
Hexadecimal 0x4B3BBE4

Divisor Catalog (24)

1 2 4 11 22 44 499 998 1,996 3,593 5,489 7,186 10,978 14,372 21,956 39,523 79,046 158,092 1,792,907 3,585,814 7,171,628 19,721,977 39,443,954 78,887,908

Collatz Trajectory (166 steps to reach 1)

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

78,887,908 39,443,954 19,721,977 59,165,932 29,582,966 14,791,483 44,374,450 22,187,225 66,561,676 33,280,838 16,640,419 49,921,258 24,960,629 74,881,888 37,440,944 18,720,472 9,360,236 4,680,118 2,340,059 7,020,178 3,510,089 10,530,268 5,265,134 2,632,567 7,897,702 3,948,851 11,846,554 5,923,277 17,769,832 8,884,916 4,442,458 2,221,229 6,663,688 3,331,844 1,665,922 832,961 2,498,884 1,249,442 624,721 1,874,164 937,082 468,541 1,405,624 702,812 351,406 175,703 527,110 263,555 790,666 395,333 1,186,000 593,000 296,500 148,250 74,125 222,376 111,188 55,594 27,797 83,392

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