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Atlas › Integer Profiles › Node 7,253,155

7,253,155

5 × 7 × 13 × 19 × 839
Deficient Odd Composite

7,253,155 factors as 5 × 7 × 13 × 19 × 839. Its 32 positive divisors give a proper-divisor sum of 4,036,445, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 5 × 7 × 13 × 19 × 839
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,289,600
Proper Divisor Sum 4,036,445
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7253137 ← → #7253167

Radix Representation

Decimal 7253155
Binary 11011101010110010100011 (23 bits)
Octal 0o33526243
Hexadecimal 0x6EACA3

Divisor Catalog (32)

1 5 7 13 19 35 65 91 95 133 247 455 665 839 1,235 1,729 4,195 5,873 8,645 10,907 15,941 29,365 54,535 76,349 79,705 111,587 207,233 381,745 557,935 1,036,165 1,450,631 7,253,155

Collatz Trajectory (204 steps to reach 1)

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

7,253,155 21,759,466 10,879,733 32,639,200 16,319,600 8,159,800 4,079,900 2,039,950 1,019,975 3,059,926 1,529,963 4,589,890 2,294,945 6,884,836 3,442,418 1,721,209 5,163,628 2,581,814 1,290,907 3,872,722 1,936,361 5,809,084 2,904,542 1,452,271 4,356,814 2,178,407 6,535,222 3,267,611 9,802,834 4,901,417 14,704,252 7,352,126 3,676,063 11,028,190 5,514,095 16,542,286 8,271,143 24,813,430 12,406,715 37,220,146 18,610,073 55,830,220 27,915,110 13,957,555 41,872,666 20,936,333 62,809,000 31,404,500 15,702,250 7,851,125 23,553,376 11,776,688 5,888,344 2,944,172 1,472,086 736,043 2,208,130 1,104,065 3,312,196 1,656,098

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