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Atlas › Integer Profiles › Node 5,631,550

5,631,550

2 × 52 × 23 × 59 × 83
Deficient Even Composite

5,631,550 factors as 2 × 5^2 × 23 × 59 × 83. Its 48 positive divisors give a proper-divisor sum of 5,617,730, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 23 × 59 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,249,280
Proper Divisor Sum 5,617,730
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5631541 ← → #5631569

Radix Representation

Decimal 5631550
Binary 10101011110111000111110 (23 bits)
Octal 0o25367076
Hexadecimal 0x55EE3E

Divisor Catalog (48)

1 2 5 10 23 25 46 50 59 83 115 118 166 230 295 415 575 590 830 1,150 1,357 1,475 1,909 2,075 2,714 2,950 3,818 4,150 4,897 6,785 9,545 9,794 13,570 19,090 24,485 33,925 47,725 48,970 67,850 95,450 112,631 122,425 225,262 244,850 563,155 1,126,310 2,815,775 5,631,550

Collatz Trajectory (157 steps to reach 1)

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

5,631,550 2,815,775 8,447,326 4,223,663 12,670,990 6,335,495 19,006,486 9,503,243 28,509,730 14,254,865 42,764,596 21,382,298 10,691,149 32,073,448 16,036,724 8,018,362 4,009,181 12,027,544 6,013,772 3,006,886 1,503,443 4,510,330 2,255,165 6,765,496 3,382,748 1,691,374 845,687 2,537,062 1,268,531 3,805,594 1,902,797 5,708,392 2,854,196 1,427,098 713,549 2,140,648 1,070,324 535,162 267,581 802,744 401,372 200,686 100,343 301,030 150,515 451,546 225,773 677,320 338,660 169,330 84,665 253,996 126,998 63,499 190,498 95,249 285,748 142,874 71,437 214,312

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