λ
Ratio Atlas

71,997,647

71997647
Deficient Odd Prime

71,997,647 factors as 71997647. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 71997647
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 71,997,648
Proper Divisor Sum 1
Digit Sum / Digital Root 50 (Root: 5)
Adjacent Primes #71997553 ← → #71997649

Radix Representation

Decimal 71997647
Binary 100010010101001100011001111 (27 bits)
Octal 0o422514317
Hexadecimal 0x44A98CF

Divisor Catalog (2)

Collatz Trajectory (228 steps to reach 1)

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

71,997,647 215,992,942 107,996,471 323,989,414 161,994,707 485,984,122 242,992,061 728,976,184 364,488,092 182,244,046 91,122,023 273,366,070 136,683,035 410,049,106 205,024,553 615,073,660 307,536,830 153,768,415 461,305,246 230,652,623 691,957,870 345,978,935 1,037,936,806 518,968,403 1,556,905,210 778,452,605 2,335,357,816 1,167,678,908 583,839,454 291,919,727 875,759,182 437,879,591 1,313,638,774 656,819,387 1,970,458,162 985,229,081 2,955,687,244 1,477,843,622 738,921,811 2,216,765,434 1,108,382,717 3,325,148,152 1,662,574,076 831,287,038 415,643,519 1,246,930,558 623,465,279 1,870,395,838 935,197,919 2,805,593,758 1,402,796,879 4,208,390,638 2,104,195,319 6,312,585,958 3,156,292,979 9,468,878,938 4,734,439,469 14,203,318,408 7,101,659,204 3,550,829,602

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