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Atlas › Integer Profiles › Node 4,411,368

4,411,368

23 × 33 × 13 × 1571
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^3 × 13 × 1571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,204,800
Proper Divisor Sum 8,793,432
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4411357 ← → #4411369

Radix Representation

Decimal 4411368
Binary 10000110100111111101000 (23 bits)
Octal 0o20647750
Hexadecimal 0x434FE8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1,404 1,571 2,808 3,142 4,713 6,284 9,426 12,568 14,139 18,852 20,423 28,278 37,704 40,846 42,417 56,556 61,269 81,692 84,834 113,112 122,538 163,384 169,668 183,807 245,076 339,336 367,614 490,152 551,421 735,228

Collatz Trajectory (92 steps to reach 1)

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

4,411,368 2,205,684 1,102,842 551,421 1,654,264 827,132 413,566 206,783 620,350 310,175 930,526 465,263 1,395,790 697,895 2,093,686 1,046,843 3,140,530 1,570,265 4,710,796 2,355,398 1,177,699 3,533,098 1,766,549 5,299,648 2,649,824 1,324,912 662,456 331,228 165,614 82,807 248,422 124,211 372,634 186,317 558,952 279,476 139,738 69,869 209,608 104,804 52,402 26,201 78,604 39,302 19,651 58,954 29,477 88,432 44,216 22,108 11,054 5,527 16,582 8,291 24,874 12,437 37,312 18,656 9,328 4,664

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