λ
Ratio Atlas

61,365,727

61365727
Deficient Odd Prime

61,365,727 factors as 61365727. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 282 steps.

Prime Factor Structure

Factorization String 61365727
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 61,365,728
Proper Divisor Sum 1
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #61365719 ← → #61365737

Radix Representation

Decimal 61365727
Binary 11101010000101110111011111 (26 bits)
Octal 0o352056737
Hexadecimal 0x3A85DDF

Divisor Catalog (2)

Collatz Trajectory (282 steps to reach 1)

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

61,365,727 184,097,182 92,048,591 276,145,774 138,072,887 414,218,662 207,109,331 621,327,994 310,663,997 931,991,992 465,995,996 232,997,998 116,498,999 349,496,998 174,748,499 524,245,498 262,122,749 786,368,248 393,184,124 196,592,062 98,296,031 294,888,094 147,444,047 442,332,142 221,166,071 663,498,214 331,749,107 995,247,322 497,623,661 1,492,870,984 746,435,492 373,217,746 186,608,873 559,826,620 279,913,310 139,956,655 419,869,966 209,934,983 629,804,950 314,902,475 944,707,426 472,353,713 1,417,061,140 708,530,570 354,265,285 1,062,795,856 531,397,928 265,698,964 132,849,482 66,424,741 199,274,224 99,637,112 49,818,556 24,909,278 12,454,639 37,363,918 18,681,959 56,045,878 28,022,939 84,068,818

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