61,642

2 × 7² × 17 × 37

61,642 is even and not a perfect square. Its factorization is 2 × 7^2 × 17 × 37 and its 24 divisors sum to 116,964.

Prime Factor Structure

Factorization String 2 × 7^2 × 17 × 37

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 116,964

Proper Divisor Sum 55,322

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #61637 ← → #61643

Radix Representation

Decimal	61642
Binary	1111000011001010 (16 bits)
Octal	0o170312
Hexadecimal	0xF0CA

Divisor Catalog (24)

1 2 7 14 17 34 37 49 74 98 119 238 259 518 629 833 1,258 1,666 1,813 3,626 4,403 8,806 30,821 61,642

Collatz Trajectory (148 steps to reach 1)

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

61,642 30,821 92,464 46,232 23,116 11,558 5,779 17,338 8,669 26,008 13,004 6,502 3,251 9,754 4,877 14,632 7,316 3,658 1,829 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412

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