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Atlas › Integer Profiles › Node 11,565,488

11,565,488

24 × 11 × 65713
Abundant Even Composite

11,565,488 factors as 2^4 × 11 × 65713. Its 20 positive divisors give a proper-divisor sum of 12,880,120, so this integer is abundant. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 65713
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 24,445,608
Proper Divisor Sum 12,880,120
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #11565487 ← → #11565551

Radix Representation

Decimal 11565488
Binary 101100000111100110110000 (24 bits)
Octal 0o54074660
Hexadecimal 0xB079B0

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 65,713 131,426 262,852 525,704 722,843 1,051,408 1,445,686 2,891,372 5,782,744 11,565,488

Collatz Trajectory (171 steps to reach 1)

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

11,565,488 5,782,744 2,891,372 1,445,686 722,843 2,168,530 1,084,265 3,252,796 1,626,398 813,199 2,439,598 1,219,799 3,659,398 1,829,699 5,489,098 2,744,549 8,233,648 4,116,824 2,058,412 1,029,206 514,603 1,543,810 771,905 2,315,716 1,157,858 578,929 1,736,788 868,394 434,197 1,302,592 651,296 325,648 162,824 81,412 40,706 20,353 61,060 30,530 15,265 45,796 22,898 11,449 34,348 17,174 8,587 25,762 12,881 38,644 19,322 9,661 28,984 14,492 7,246 3,623 10,870 5,435 16,306 8,153 24,460 12,230

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