λ
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Atlas › Integer Profiles › Node 11,410,455

11,410,455

3 × 5 × 7 × 271 × 401
Deficient Odd Composite

11,410,455 factors as 3 × 5 × 7 × 271 × 401. Its 32 positive divisors give a proper-divisor sum of 9,583,593, so this integer is deficient. The Collatz stopping time is 171 steps.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 271 × 401
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,994,048
Proper Divisor Sum 9,583,593
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #11410439 ← → #11410457

Radix Representation

Decimal 11410455
Binary 101011100001110000010111 (24 bits)
Octal 0o53416027
Hexadecimal 0xAE1C17

Divisor Catalog (32)

1 3 5 7 15 21 35 105 271 401 813 1,203 1,355 1,897 2,005 2,807 4,065 5,691 6,015 8,421 9,485 14,035 28,455 42,105 108,671 326,013 543,355 760,697 1,630,065 2,282,091 3,803,485 11,410,455

Collatz Trajectory (171 steps to reach 1)

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

11,410,455 34,231,366 17,115,683 51,347,050 25,673,525 77,020,576 38,510,288 19,255,144 9,627,572 4,813,786 2,406,893 7,220,680 3,610,340 1,805,170 902,585 2,707,756 1,353,878 676,939 2,030,818 1,015,409 3,046,228 1,523,114 761,557 2,284,672 1,142,336 571,168 285,584 142,792 71,396 35,698 17,849 53,548 26,774 13,387 40,162 20,081 60,244 30,122 15,061 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337

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