λ
Ratio Atlas

52,632,007

52632007
Deficient Odd Prime

52,632,007 factors as 52632007. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 52632007
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 52,632,008
Proper Divisor Sum 1
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #52631989 ← → #52632023

Radix Representation

Decimal 52632007
Binary 11001000110001100111000111 (26 bits)
Octal 0o310614707
Hexadecimal 0x32319C7

Divisor Catalog (2)

Collatz Trajectory (225 steps to reach 1)

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

52,632,007 157,896,022 78,948,011 236,844,034 118,422,017 355,266,052 177,633,026 88,816,513 266,449,540 133,224,770 66,612,385 199,837,156 99,918,578 49,959,289 149,877,868 74,938,934 37,469,467 112,408,402 56,204,201 168,612,604 84,306,302 42,153,151 126,459,454 63,229,727 189,689,182 94,844,591 284,533,774 142,266,887 426,800,662 213,400,331 640,200,994 320,100,497 960,301,492 480,150,746 240,075,373 720,226,120 360,113,060 180,056,530 90,028,265 270,084,796 135,042,398 67,521,199 202,563,598 101,281,799 303,845,398 151,922,699 455,768,098 227,884,049 683,652,148 341,826,074 170,913,037 512,739,112 256,369,556 128,184,778 64,092,389 192,277,168 96,138,584 48,069,292 24,034,646 12,017,323

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