90,569

41 × 47²

90,569 factors as 41 × 47^2. Its 6 positive divisors give a proper-divisor sum of 4,225, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 41 × 47^2

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 94,794

Proper Divisor Sum 4,225

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #90547 ← → #90583

Radix Representation

Decimal	90569
Binary	10110000111001001 (17 bits)
Octal	0o260711
Hexadecimal	0x161C9

Divisor Catalog (6)

1 41 47 1,927 2,209 90,569

Collatz Trajectory (115 steps to reach 1)

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

90,569 271,708 135,854 67,927 203,782 101,891 305,674 152,837 458,512 229,256 114,628 57,314 28,657 85,972 42,986 21,493 64,480 32,240 16,120 8,060 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454

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