λ
Ratio Atlas

72,556,831

109 × 665659
Deficient Odd Composite

72,556,831 factors as 109 × 665659. Its 4 positive divisors give a proper-divisor sum of 665,769, so this integer is deficient. The Collatz stopping time is 259 steps.

Prime Factor Structure

Factorization String 109 × 665659
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 73,222,600
Proper Divisor Sum 665,769
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #72556829 ← → #72556837

Radix Representation

Decimal 72556831
Binary 100010100110010000100011111 (27 bits)
Octal 0o424620437
Hexadecimal 0x453211F

Divisor Catalog (4)

Collatz Trajectory (259 steps to reach 1)

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

72,556,831 217,670,494 108,835,247 326,505,742 163,252,871 489,758,614 244,879,307 734,637,922 367,318,961 1,101,956,884 550,978,442 275,489,221 826,467,664 413,233,832 206,616,916 103,308,458 51,654,229 154,962,688 77,481,344 38,740,672 19,370,336 9,685,168 4,842,584 2,421,292 1,210,646 605,323 1,815,970 907,985 2,723,956 1,361,978 680,989 2,042,968 1,021,484 510,742 255,371 766,114 383,057 1,149,172 574,586 287,293 861,880 430,940 215,470 107,735 323,206 161,603 484,810 242,405 727,216 363,608 181,804 90,902 45,451 136,354 68,177 204,532 102,266 51,133 153,400 76,700

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