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Atlas › Integer Profiles › Node 4,100,772

4,100,772

22 × 3 × 13 × 97 × 271
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 97 × 271
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 10,449,152
Proper Divisor Sum 6,348,380
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4100749 ← → #4100777

Radix Representation

Decimal 4100772
Binary 1111101001001010100100 (22 bits)
Octal 0o17511244
Hexadecimal 0x3E92A4

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 97 156 194 271 291 388 542 582 813 1,084 1,164 1,261 1,626 2,522 3,252 3,523 3,783 5,044 7,046 7,566 10,569 14,092 15,132 21,138 26,287 42,276 52,574 78,861 105,148 157,722 315,444 341,731 683,462 1,025,193 1,366,924 2,050,386 4,100,772

Collatz Trajectory (335 steps to reach 1)

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

4,100,772 2,050,386 1,025,193 3,075,580 1,537,790 768,895 2,306,686 1,153,343 3,460,030 1,730,015 5,190,046 2,595,023 7,785,070 3,892,535 11,677,606 5,838,803 17,516,410 8,758,205 26,274,616 13,137,308 6,568,654 3,284,327 9,852,982 4,926,491 14,779,474 7,389,737 22,169,212 11,084,606 5,542,303 16,626,910 8,313,455 24,940,366 12,470,183 37,410,550 18,705,275 56,115,826 28,057,913 84,173,740 42,086,870 21,043,435 63,130,306 31,565,153 94,695,460 47,347,730 23,673,865 71,021,596 35,510,798 17,755,399 53,266,198 26,633,099 79,899,298 39,949,649 119,848,948 59,924,474 29,962,237 89,886,712 44,943,356 22,471,678 11,235,839 33,707,518

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