λ
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Atlas › Integer Profiles › Node 79,826,552

79,826,552

23 × 13 × 61 × 12583
Abundant Even Composite

79,826,552 factors as 2^3 × 13 × 61 × 12583. Its 32 positive divisors give a proper-divisor sum of 84,017,128, so this integer is abundant. The Collatz stopping time is 360 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 61 × 12583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 163,843,680
Proper Divisor Sum 84,017,128
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #79826489 ← → #79826561

Radix Representation

Decimal 79826552
Binary 100110000100000111001111000 (27 bits)
Octal 0o460407170
Hexadecimal 0x4C20E78

Divisor Catalog (32)

1 2 4 8 13 26 52 61 104 122 244 488 793 1,586 3,172 6,344 12,583 25,166 50,332 100,664 163,579 327,158 654,316 767,563 1,308,632 1,535,126 3,070,252 6,140,504 9,978,319 19,956,638 39,913,276 79,826,552

Collatz Trajectory (360 steps to reach 1)

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

79,826,552 39,913,276 19,956,638 9,978,319 29,934,958 14,967,479 44,902,438 22,451,219 67,353,658 33,676,829 101,030,488 50,515,244 25,257,622 12,628,811 37,886,434 18,943,217 56,829,652 28,414,826 14,207,413 42,622,240 21,311,120 10,655,560 5,327,780 2,663,890 1,331,945 3,995,836 1,997,918 998,959 2,996,878 1,498,439 4,495,318 2,247,659 6,742,978 3,371,489 10,114,468 5,057,234 2,528,617 7,585,852 3,792,926 1,896,463 5,689,390 2,844,695 8,534,086 4,267,043 12,801,130 6,400,565 19,201,696 9,600,848 4,800,424 2,400,212 1,200,106 600,053 1,800,160 900,080 450,040 225,020 112,510 56,255 168,766 84,383

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