λ
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Atlas › Integer Profiles › Node 14,426,336

14,426,336

25 × 17 × 23 × 1153
Abundant Even Composite

14,426,336 factors as 2^5 × 17 × 23 × 1153. Its 48 positive divisors give a proper-divisor sum of 16,980,928, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2^5 × 17 × 23 × 1153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 31,407,264
Proper Divisor Sum 16,980,928
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #14426327 ← → #14426341

Radix Representation

Decimal 14426336
Binary 110111000010000011100000 (24 bits)
Octal 0o67020340
Hexadecimal 0xDC20E0

Divisor Catalog (48)

1 2 4 8 16 17 23 32 34 46 68 92 136 184 272 368 391 544 736 782 1,153 1,564 2,306 3,128 4,612 6,256 9,224 12,512 18,448 19,601 26,519 36,896 39,202 53,038 78,404 106,076 156,808 212,152 313,616 424,304 450,823 627,232 848,608 901,646 1,803,292 3,606,584 7,213,168 14,426,336

Collatz Trajectory (91 steps to reach 1)

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

14,426,336 7,213,168 3,606,584 1,803,292 901,646 450,823 1,352,470 676,235 2,028,706 1,014,353 3,043,060 1,521,530 760,765 2,282,296 1,141,148 570,574 285,287 855,862 427,931 1,283,794 641,897 1,925,692 962,846 481,423 1,444,270 722,135 2,166,406 1,083,203 3,249,610 1,624,805 4,874,416 2,437,208 1,218,604 609,302 304,651 913,954 456,977 1,370,932 685,466 342,733 1,028,200 514,100 257,050 128,525 385,576 192,788 96,394 48,197 144,592 72,296 36,148 18,074 9,037 27,112 13,556 6,778 3,389 10,168 5,084 2,542

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