λ
Ratio Atlas

72,531,911

17 × 19 × 41 × 5477
Deficient Odd Composite

72,531,911 factors as 17 × 19 × 41 × 5477. Its 16 positive divisors give a proper-divisor sum of 10,295,449, so this integer is deficient. The Collatz stopping time is 215 steps.

Prime Factor Structure

Factorization String 17 × 19 × 41 × 5477
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 82,827,360
Proper Divisor Sum 10,295,449
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #72531889 ← → #72531913

Radix Representation

Decimal 72531911
Binary 100010100101011111111000111 (27 bits)
Octal 0o424537707
Hexadecimal 0x452BFC7

Divisor Catalog (16)

Collatz Trajectory (215 steps to reach 1)

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

72,531,911 217,595,734 108,797,867 326,393,602 163,196,801 489,590,404 244,795,202 122,397,601 367,192,804 183,596,402 91,798,201 275,394,604 137,697,302 68,848,651 206,545,954 103,272,977 309,818,932 154,909,466 77,454,733 232,364,200 116,182,100 58,091,050 29,045,525 87,136,576 43,568,288 21,784,144 10,892,072 5,446,036 2,723,018 1,361,509 4,084,528 2,042,264 1,021,132 510,566 255,283 765,850 382,925 1,148,776 574,388 287,194 143,597 430,792 215,396 107,698 53,849 161,548 80,774 40,387 121,162 60,581 181,744 90,872 45,436 22,718 11,359 34,078 17,039 51,118 25,559 76,678

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