λ
Ratio Atlas

52,688,509

52688509
Deficient Odd Prime

52,688,509 factors as 52688509. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 349 steps.

Prime Factor Structure

Factorization String 52688509
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 52,688,510
Proper Divisor Sum 1
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #52688507 ← → #52688513

Radix Representation

Decimal 52688509
Binary 11001000111111011001111101 (26 bits)
Octal 0o310773175
Hexadecimal 0x323F67D

Divisor Catalog (2)

Collatz Trajectory (349 steps to reach 1)

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

52,688,509 158,065,528 79,032,764 39,516,382 19,758,191 59,274,574 29,637,287 88,911,862 44,455,931 133,367,794 66,683,897 200,051,692 100,025,846 50,012,923 150,038,770 75,019,385 225,058,156 112,529,078 56,264,539 168,793,618 84,396,809 253,190,428 126,595,214 63,297,607 189,892,822 94,946,411 284,839,234 142,419,617 427,258,852 213,629,426 106,814,713 320,444,140 160,222,070 80,111,035 240,333,106 120,166,553 360,499,660 180,249,830 90,124,915 270,374,746 135,187,373 405,562,120 202,781,060 101,390,530 50,695,265 152,085,796 76,042,898 38,021,449 114,064,348 57,032,174 28,516,087 85,548,262 42,774,131 128,322,394 64,161,197 192,483,592 96,241,796 48,120,898 24,060,449 72,181,348

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