λ
Ratio Atlas

72,046,589

72046589
Deficient Odd Prime

72,046,589 factors as 72046589. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 277 steps.

Prime Factor Structure

Factorization String 72046589
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 72,046,590
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #72046567 ← → #72046607

Radix Representation

Decimal 72046589
Binary 100010010110101011111111101 (27 bits)
Octal 0o422653775
Hexadecimal 0x44B57FD

Divisor Catalog (2)

Collatz Trajectory (277 steps to reach 1)

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

72,046,589 216,139,768 108,069,884 54,034,942 27,017,471 81,052,414 40,526,207 121,578,622 60,789,311 182,367,934 91,183,967 273,551,902 136,775,951 410,327,854 205,163,927 615,491,782 307,745,891 923,237,674 461,618,837 1,384,856,512 692,428,256 346,214,128 173,107,064 86,553,532 43,276,766 21,638,383 64,915,150 32,457,575 97,372,726 48,686,363 146,059,090 73,029,545 219,088,636 109,544,318 54,772,159 164,316,478 82,158,239 246,474,718 123,237,359 369,712,078 184,856,039 554,568,118 277,284,059 831,852,178 415,926,089 1,247,778,268 623,889,134 311,944,567 935,833,702 467,916,851 1,403,750,554 701,875,277 2,105,625,832 1,052,812,916 526,406,458 263,203,229 789,609,688 394,804,844 197,402,422 98,701,211

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