λ
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Atlas › Integer Profiles › Node 4,524,014

4,524,014

2 × 11 × 19 × 79 × 137
Deficient Even Composite

4,524,014 factors as 2 × 11 × 19 × 79 × 137. Its 32 positive divisors give a proper-divisor sum of 3,424,786, so this integer is deficient. The Collatz stopping time is 136 steps.

Prime Factor Structure

Factorization String 2 × 11 × 19 × 79 × 137
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,948,800
Proper Divisor Sum 3,424,786
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4524011 ← → #4524017

Radix Representation

Decimal 4524014
Binary 10001010000011111101110 (23 bits)
Octal 0o21203756
Hexadecimal 0x4507EE

Divisor Catalog (32)

1 2 11 19 22 38 79 137 158 209 274 418 869 1,501 1,507 1,738 2,603 3,002 3,014 5,206 10,823 16,511 21,646 28,633 33,022 57,266 119,053 205,637 238,106 411,274 2,262,007 4,524,014

Collatz Trajectory (136 steps to reach 1)

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

4,524,014 2,262,007 6,786,022 3,393,011 10,179,034 5,089,517 15,268,552 7,634,276 3,817,138 1,908,569 5,725,708 2,862,854 1,431,427 4,294,282 2,147,141 6,441,424 3,220,712 1,610,356 805,178 402,589 1,207,768 603,884 301,942 150,971 452,914 226,457 679,372 339,686 169,843 509,530 254,765 764,296 382,148 191,074 95,537 286,612 143,306 71,653 214,960 107,480 53,740 26,870 13,435 40,306 20,153 60,460 30,230 15,115 45,346 22,673 68,020 34,010 17,005 51,016 25,508 12,754 6,377 19,132 9,566 4,783

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