61,727,113

7² × 1259737

61,727,113 factors as 7^2 × 1259737. Its 6 positive divisors give a proper-divisor sum of 10,077,953, so this integer is deficient. The Collatz stopping time is 357 steps.

Prime Factor Structure

Factorization String 7^2 × 1259737

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 71,805,066

Proper Divisor Sum 10,077,953

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #61727087 ← → #61727117

Radix Representation

Decimal	61727113
Binary	11101011011110000110001001 (26 bits)
Octal	0o353360611
Hexadecimal	0x3ADE189

Divisor Catalog (6)

1 7 49 1,259,737 8,818,159 61,727,113

Collatz Trajectory (357 steps to reach 1)

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

61,727,113 185,181,340 92,590,670 46,295,335 138,886,006 69,443,003 208,329,010 104,164,505 312,493,516 156,246,758 78,123,379 234,370,138 117,185,069 351,555,208 175,777,604 87,888,802 43,944,401 131,833,204 65,916,602 32,958,301 98,874,904 49,437,452 24,718,726 12,359,363 37,078,090 18,539,045 55,617,136 27,808,568 13,904,284 6,952,142 3,476,071 10,428,214 5,214,107 15,642,322 7,821,161 23,463,484 11,731,742 5,865,871 17,597,614 8,798,807 26,396,422 13,198,211 39,594,634 19,797,317 59,391,952 29,695,976 14,847,988 7,423,994 3,711,997 11,135,992 5,567,996 2,783,998 1,391,999 4,175,998 2,087,999 6,263,998 3,131,999 9,395,998 4,697,999 14,093,998

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