32,075,752

2³ × 61 × 65729

32,075,752 factors as 2^3 × 61 × 65729. Its 16 positive divisors give a proper-divisor sum of 29,053,148, so this integer is deficient. The Collatz stopping time is 276 steps.

Prime Factor Structure

Factorization String 2^3 × 61 × 65729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 61,128,900

Proper Divisor Sum 29,053,148

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #32075749 ← → #32075767

Radix Representation

Decimal	32075752
Binary	1111010010110111111101000 (25 bits)
Octal	0o172267750
Hexadecimal	0x1E96FE8

Divisor Catalog (16)

1 2 4 8 61 122 244 488 65,729 131,458 262,916 525,832 4,009,469 8,018,938 16,037,876 32,075,752

Collatz Trajectory (276 steps to reach 1)

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

32,075,752 16,037,876 8,018,938 4,009,469 12,028,408 6,014,204 3,007,102 1,503,551 4,510,654 2,255,327 6,765,982 3,382,991 10,148,974 5,074,487 15,223,462 7,611,731 22,835,194 11,417,597 34,252,792 17,126,396 8,563,198 4,281,599 12,844,798 6,422,399 19,267,198 9,633,599 28,900,798 14,450,399 43,351,198 21,675,599 65,026,798 32,513,399 97,540,198 48,770,099 146,310,298 73,155,149 219,465,448 109,732,724 54,866,362 27,433,181 82,299,544 41,149,772 20,574,886 10,287,443 30,862,330 15,431,165 46,293,496 23,146,748 11,573,374 5,786,687 17,360,062 8,680,031 26,040,094 13,020,047 39,060,142 19,530,071 58,590,214 29,295,107 87,885,322 43,942,661

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