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Atlas › Integer Profiles › Node 80,348,488

80,348,488

23 × 11 × 89 × 10259
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 11 × 89 × 10259
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 166,212,000
Proper Divisor Sum 85,863,512
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #80348447 ← → #80348491

Radix Representation

Decimal 80348488
Binary 100110010100000010101001000 (27 bits)
Octal 0o462402510
Hexadecimal 0x4CA0548

Divisor Catalog (32)

1 2 4 8 11 22 44 88 89 178 356 712 979 1,958 3,916 7,832 10,259 20,518 41,036 82,072 112,849 225,698 451,396 902,792 913,051 1,826,102 3,652,204 7,304,408 10,043,561 20,087,122 40,174,244 80,348,488

Collatz Trajectory (166 steps to reach 1)

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

80,348,488 40,174,244 20,087,122 10,043,561 30,130,684 15,065,342 7,532,671 22,598,014 11,299,007 33,897,022 16,948,511 50,845,534 25,422,767 76,268,302 38,134,151 114,402,454 57,201,227 171,603,682 85,801,841 257,405,524 128,702,762 64,351,381 193,054,144 96,527,072 48,263,536 24,131,768 12,065,884 6,032,942 3,016,471 9,049,414 4,524,707 13,574,122 6,787,061 20,361,184 10,180,592 5,090,296 2,545,148 1,272,574 636,287 1,908,862 954,431 2,863,294 1,431,647 4,294,942 2,147,471 6,442,414 3,221,207 9,663,622 4,831,811 14,495,434 7,247,717 21,743,152 10,871,576 5,435,788 2,717,894 1,358,947 4,076,842 2,038,421 6,115,264 3,057,632

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