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Atlas › Integer Profiles › Node 59,601,741

59,601,741

3 × 41 × 43 × 59 × 191
Deficient Odd Composite

59,601,741 factors as 3 × 41 × 43 × 59 × 191. Its 32 positive divisors give a proper-divisor sum of 25,554,099, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 3 × 41 × 43 × 59 × 191
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 85,155,840
Proper Divisor Sum 25,554,099
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #59601701 ← → #59601743

Radix Representation

Decimal 59601741
Binary 11100011010111001101001101 (26 bits)
Octal 0o343271515
Hexadecimal 0x38D734D

Divisor Catalog (32)

1 3 41 43 59 123 129 177 191 573 1,763 2,419 2,537 5,289 7,257 7,611 7,831 8,213 11,269 23,493 24,639 33,807 104,017 312,051 336,733 462,029 484,567 1,010,199 1,386,087 1,453,701 19,867,247 59,601,741

Collatz Trajectory (145 steps to reach 1)

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

59,601,741 178,805,224 89,402,612 44,701,306 22,350,653 67,051,960 33,525,980 16,762,990 8,381,495 25,144,486 12,572,243 37,716,730 18,858,365 56,575,096 28,287,548 14,143,774 7,071,887 21,215,662 10,607,831 31,823,494 15,911,747 47,735,242 23,867,621 71,602,864 35,801,432 17,900,716 8,950,358 4,475,179 13,425,538 6,712,769 20,138,308 10,069,154 5,034,577 15,103,732 7,551,866 3,775,933 11,327,800 5,663,900 2,831,950 1,415,975 4,247,926 2,123,963 6,371,890 3,185,945 9,557,836 4,778,918 2,389,459 7,168,378 3,584,189 10,752,568 5,376,284 2,688,142 1,344,071 4,032,214 2,016,107 6,048,322 3,024,161 9,072,484 4,536,242 2,268,121

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