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Atlas › Integer Profiles › Node 11,601,760

11,601,760

25 × 5 × 59 × 1229
Abundant Even Composite

11,601,760 factors as 2^5 × 5 × 59 × 1229. Its 48 positive divisors give a proper-divisor sum of 16,294,640, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 59 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 27,896,400
Proper Divisor Sum 16,294,640
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #11601731 ← → #11601763

Radix Representation

Decimal 11601760
Binary 101100010000011101100000 (24 bits)
Octal 0o54203540
Hexadecimal 0xB10760

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 59 80 118 160 236 295 472 590 944 1,180 1,229 1,888 2,360 2,458 4,720 4,916 6,145 9,440 9,832 12,290 19,664 24,580 39,328 49,160 72,511 98,320 145,022 196,640 290,044 362,555 580,088 725,110 1,160,176 1,450,220 2,320,352 2,900,440 5,800,880 11,601,760

Collatz Trajectory (215 steps to reach 1)

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

11,601,760 5,800,880 2,900,440 1,450,220 725,110 362,555 1,087,666 543,833 1,631,500 815,750 407,875 1,223,626 611,813 1,835,440 917,720 458,860 229,430 114,715 344,146 172,073 516,220 258,110 129,055 387,166 193,583 580,750 290,375 871,126 435,563 1,306,690 653,345 1,960,036 980,018 490,009 1,470,028 735,014 367,507 1,102,522 551,261 1,653,784 826,892 413,446 206,723 620,170 310,085 930,256 465,128 232,564 116,282 58,141 174,424 87,212 43,606 21,803 65,410 32,705 98,116 49,058 24,529 73,588

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