λ
Ratio Atlas

27,029,999

27029999
Deficient Odd Prime

27,029,999 factors as 27029999. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 361 steps.

Prime Factor Structure

Factorization String 27029999
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 27,030,000
Proper Divisor Sum 1
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #27029993 ← → #27030043

Radix Representation

Decimal 27029999
Binary 1100111000111000111101111 (25 bits)
Octal 0o147070757
Hexadecimal 0x19C71EF

Divisor Catalog (2)

Collatz Trajectory (361 steps to reach 1)

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

27,029,999 81,089,998 40,544,999 121,634,998 60,817,499 182,452,498 91,226,249 273,678,748 136,839,374 68,419,687 205,259,062 102,629,531 307,888,594 153,944,297 461,832,892 230,916,446 115,458,223 346,374,670 173,187,335 519,562,006 259,781,003 779,343,010 389,671,505 1,169,014,516 584,507,258 292,253,629 876,760,888 438,380,444 219,190,222 109,595,111 328,785,334 164,392,667 493,178,002 246,589,001 739,767,004 369,883,502 184,941,751 554,825,254 277,412,627 832,237,882 416,118,941 1,248,356,824 624,178,412 312,089,206 156,044,603 468,133,810 234,066,905 702,200,716 351,100,358 175,550,179 526,650,538 263,325,269 789,975,808 394,987,904 197,493,952 98,746,976 49,373,488 24,686,744 12,343,372 6,171,686

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