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Atlas › Integer Profiles › Node 5,563,152

5,563,152

24 × 32 × 7 × 5519
Abundant Even Composite

5,563,152 factors as 2^4 × 3^2 × 7 × 5519. Its 60 positive divisors give a proper-divisor sum of 12,233,328, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 5519
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 17,796,480
Proper Divisor Sum 12,233,328
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5563127 ← → #5563153

Radix Representation

Decimal 5563152
Binary 10101001110001100010000 (23 bits)
Octal 0o25161420
Hexadecimal 0x54E310

Divisor Catalog (60)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1,008 5,519 11,038 16,557 22,076 33,114 38,633 44,152 49,671 66,228 77,266 88,304 99,342 115,899 132,456 154,532 198,684 231,798 264,912 309,064 347,697 397,368 463,596 618,128 695,394 794,736 927,192 1,390,788 1,854,384 2,781,576 5,563,152

Collatz Trajectory (183 steps to reach 1)

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

5,563,152 2,781,576 1,390,788 695,394 347,697 1,043,092 521,546 260,773 782,320 391,160 195,580 97,790 48,895 146,686 73,343 220,030 110,015 330,046 165,023 495,070 247,535 742,606 371,303 1,113,910 556,955 1,670,866 835,433 2,506,300 1,253,150 626,575 1,879,726 939,863 2,819,590 1,409,795 4,229,386 2,114,693 6,344,080 3,172,040 1,586,020 793,010 396,505 1,189,516 594,758 297,379 892,138 446,069 1,338,208 669,104 334,552 167,276 83,638 41,819 125,458 62,729 188,188 94,094 47,047 141,142 70,571 211,714

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