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Atlas › Integer Profiles › Node 61,375,797

61,375,797

32 × 7 × 172 × 3371
Deficient Odd Composite

61,375,797 factors as 3^2 × 7 × 17^2 × 3371. Its 36 positive divisors give a proper-divisor sum of 46,285,419, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 17^2 × 3371
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 107,661,216
Proper Divisor Sum 46,285,419
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #61375793 ← → #61375801

Radix Representation

Decimal 61375797
Binary 11101010001000010100110101 (26 bits)
Octal 0o352102465
Hexadecimal 0x3A88535

Divisor Catalog (36)

1 3 7 9 17 21 51 63 119 153 289 357 867 1,071 2,023 2,601 3,371 6,069 10,113 18,207 23,597 30,339 57,307 70,791 171,921 212,373 401,149 515,763 974,219 1,203,447 2,922,657 3,610,341 6,819,533 8,767,971 20,458,599 61,375,797

Collatz Trajectory (251 steps to reach 1)

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

61,375,797 184,127,392 92,063,696 46,031,848 23,015,924 11,507,962 5,753,981 17,261,944 8,630,972 4,315,486 2,157,743 6,473,230 3,236,615 9,709,846 4,854,923 14,564,770 7,282,385 21,847,156 10,923,578 5,461,789 16,385,368 8,192,684 4,096,342 2,048,171 6,144,514 3,072,257 9,216,772 4,608,386 2,304,193 6,912,580 3,456,290 1,728,145 5,184,436 2,592,218 1,296,109 3,888,328 1,944,164 972,082 486,041 1,458,124 729,062 364,531 1,093,594 546,797 1,640,392 820,196 410,098 205,049 615,148 307,574 153,787 461,362 230,681 692,044 346,022 173,011 519,034 259,517 778,552 389,276

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