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Atlas › Integer Profiles › Node 12,382,960

12,382,960

24 × 5 × 154787
Abundant Even Composite

12,382,960 factors as 2^4 × 5 × 154787. Its 20 positive divisors give a proper-divisor sum of 16,407,608, so this integer is abundant. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 154787
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 28,790,568
Proper Divisor Sum 16,407,608
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #12382907 ← → #12383017

Radix Representation

Decimal 12382960
Binary 101111001111001011110000 (24 bits)
Octal 0o57171360
Hexadecimal 0xBCF2F0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 154,787 309,574 619,148 773,935 1,238,296 1,547,870 2,476,592 3,095,740 6,191,480 12,382,960

Collatz Trajectory (197 steps to reach 1)

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

12,382,960 6,191,480 3,095,740 1,547,870 773,935 2,321,806 1,160,903 3,482,710 1,741,355 5,224,066 2,612,033 7,836,100 3,918,050 1,959,025 5,877,076 2,938,538 1,469,269 4,407,808 2,203,904 1,101,952 550,976 275,488 137,744 68,872 34,436 17,218 8,609 25,828 12,914 6,457 19,372 9,686 4,843 14,530 7,265 21,796 10,898 5,449 16,348 8,174 4,087 12,262 6,131 18,394 9,197 27,592 13,796 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102

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