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Atlas › Integer Profiles › Node 7,362,201

7,362,201

3 × 72 × 11 × 29 × 157
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 11 × 29 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,968,640
Proper Divisor Sum 5,606,439
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #7362181 ← → #7362227

Radix Representation

Decimal 7362201
Binary 11100000101011010011001 (23 bits)
Octal 0o34053231
Hexadecimal 0x705699

Divisor Catalog (48)

1 3 7 11 21 29 33 49 77 87 147 157 203 231 319 471 539 609 957 1,099 1,421 1,617 1,727 2,233 3,297 4,263 4,553 5,181 6,699 7,693 12,089 13,659 15,631 23,079 31,871 36,267 46,893 50,083 84,623 95,613 150,249 223,097 253,869 350,581 669,291 1,051,743 2,454,067 7,362,201

Collatz Trajectory (235 steps to reach 1)

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

7,362,201 22,086,604 11,043,302 5,521,651 16,564,954 8,282,477 24,847,432 12,423,716 6,211,858 3,105,929 9,317,788 4,658,894 2,329,447 6,988,342 3,494,171 10,482,514 5,241,257 15,723,772 7,861,886 3,930,943 11,792,830 5,896,415 17,689,246 8,844,623 26,533,870 13,266,935 39,800,806 19,900,403 59,701,210 29,850,605 89,551,816 44,775,908 22,387,954 11,193,977 33,581,932 16,790,966 8,395,483 25,186,450 12,593,225 37,779,676 18,889,838 9,444,919 28,334,758 14,167,379 42,502,138 21,251,069 63,753,208 31,876,604 15,938,302 7,969,151 23,907,454 11,953,727 35,861,182 17,930,591 53,791,774 26,895,887 80,687,662 40,343,831 121,031,494 60,515,747

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