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Atlas › Integer Profiles › Node 8,555,547

8,555,547

3 × 72 × 112 × 13 × 37
Deficient Odd Composite

8,555,547 factors as 3 × 7^2 × 11^2 × 13 × 37. Its 72 positive divisors give a proper-divisor sum of 7,576,821, so this integer is deficient. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 11^2 × 13 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 16,132,368
Proper Divisor Sum 7,576,821
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8555543 ← → #8555549

Radix Representation

Decimal 8555547
Binary 100000101000110000011011 (24 bits)
Octal 0o40506033
Hexadecimal 0x828C1B

Divisor Catalog (60 of 72)

1 3 7 11 13 21 33 37 39 49 77 91 111 121 143 147 231 259 273 363 407 429 481 539 637 777 847 1,001 1,221 1,443 1,573 1,617 1,813 1,911 2,541 2,849 3,003 3,367 4,477 4,719 5,291 5,439 5,929 7,007 8,547 10,101 11,011 13,431 15,873 17,787 19,943 21,021 23,569 31,339 33,033 37,037 58,201 59,829 70,707 77,077

Collatz Trajectory (274 steps to reach 1)

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

8,555,547 25,666,642 12,833,321 38,499,964 19,249,982 9,624,991 28,874,974 14,437,487 43,312,462 21,656,231 64,968,694 32,484,347 97,453,042 48,726,521 146,179,564 73,089,782 36,544,891 109,634,674 54,817,337 164,452,012 82,226,006 41,113,003 123,339,010 61,669,505 185,008,516 92,504,258 46,252,129 138,756,388 69,378,194 34,689,097 104,067,292 52,033,646 26,016,823 78,050,470 39,025,235 117,075,706 58,537,853 175,613,560 87,806,780 43,903,390 21,951,695 65,855,086 32,927,543 98,782,630 49,391,315 148,173,946 74,086,973 222,260,920 111,130,460 55,565,230 27,782,615 83,347,846 41,673,923 125,021,770 62,510,885 187,532,656 93,766,328 46,883,164 23,441,582 11,720,791

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