λ
Modular Archive

7,272,201

3 × 491 × 4937
Deficient Odd Composite

The decimal integer 7,272,201 is 11011101111011100001001 in binary (23 bits), 33573411 in octal and 6EF709 in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 3 × 491 × 4937
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,717,984
Proper Divisor Sum 2,445,783
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7272191 ← → #7272217

Radix Representation

Decimal 7272201
Binary 11011101111011100001001 (23 bits)
Octal 0o33573411
Hexadecimal 0x6EF709

Divisor Catalog (8)

1 3 491 1,473 4,937 14,811 2,424,067 7,272,201

Collatz Trajectory (297 steps to reach 1)

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

7,272,201 21,816,604 10,908,302 5,454,151 16,362,454 8,181,227 24,543,682 12,271,841 36,815,524 18,407,762 9,203,881 27,611,644 13,805,822 6,902,911 20,708,734 10,354,367 31,063,102 15,531,551 46,594,654 23,297,327 69,891,982 34,945,991 104,837,974 52,418,987 157,256,962 78,628,481 235,885,444 117,942,722 58,971,361 176,914,084 88,457,042 44,228,521 132,685,564 66,342,782 33,171,391 99,514,174 49,757,087 149,271,262 74,635,631 223,906,894 111,953,447 335,860,342 167,930,171 503,790,514 251,895,257 755,685,772 377,842,886 188,921,443 566,764,330 283,382,165 850,146,496 425,073,248 212,536,624 106,268,312 53,134,156 26,567,078 13,283,539 39,850,618 19,925,309 59,775,928

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