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Atlas › Integer Profiles › Node 11,618,448

11,618,448

24 × 3 × 53 × 4567
Abundant Even Composite

11,618,448 factors as 2^4 × 3 × 53 × 4567. Its 40 positive divisors give a proper-divisor sum of 18,968,880, so this integer is abundant. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 53 × 4567
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 30,587,328
Proper Divisor Sum 18,968,880
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #11618441 ← → #11618449

Radix Representation

Decimal 11618448
Binary 101100010100100010010000 (24 bits)
Octal 0o54244220
Hexadecimal 0xB14890

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 848 1,272 2,544 4,567 9,134 13,701 18,268 27,402 36,536 54,804 73,072 109,608 219,216 242,051 484,102 726,153 968,204 1,452,306 1,936,408 2,904,612 3,872,816 5,809,224 11,618,448

Collatz Trajectory (215 steps to reach 1)

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

11,618,448 5,809,224 2,904,612 1,452,306 726,153 2,178,460 1,089,230 544,615 1,633,846 816,923 2,450,770 1,225,385 3,676,156 1,838,078 919,039 2,757,118 1,378,559 4,135,678 2,067,839 6,203,518 3,101,759 9,305,278 4,652,639 13,957,918 6,978,959 20,936,878 10,468,439 31,405,318 15,702,659 47,107,978 23,553,989 70,661,968 35,330,984 17,665,492 8,832,746 4,416,373 13,249,120 6,624,560 3,312,280 1,656,140 828,070 414,035 1,242,106 621,053 1,863,160 931,580 465,790 232,895 698,686 349,343 1,048,030 524,015 1,572,046 786,023 2,358,070 1,179,035 3,537,106 1,768,553 5,305,660 2,652,830

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