567,774

2 × 3² × 31543

567,774 has digital root 9. The neighboring primes are 567767 and 567779; its proper-divisor sum differs from the starting integer by 94,668.

Prime Factor Structure

Factorization String 2 × 3^2 × 31543

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,230,216

Proper Divisor Sum 662,442

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #567767 ← → #567779

Radix Representation

Decimal	567774
Binary	10001010100111011110 (20 bits)
Octal	0o2124736
Hexadecimal	0x8A9DE

Divisor Catalog (12)

1 2 3 6 9 18 31,543 63,086 94,629 189,258 283,887 567,774

Collatz Trajectory (133 steps to reach 1)

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

567,774 283,887 851,662 425,831 1,277,494 638,747 1,916,242 958,121 2,874,364 1,437,182 718,591 2,155,774 1,077,887 3,233,662 1,616,831 4,850,494 2,425,247 7,275,742 3,637,871 10,913,614 5,456,807 16,370,422 8,185,211 24,555,634 12,277,817 36,833,452 18,416,726 9,208,363 27,625,090 13,812,545 41,437,636 20,718,818 10,359,409 31,078,228 15,539,114 7,769,557 23,308,672 11,654,336 5,827,168 2,913,584 1,456,792 728,396 364,198 182,099 546,298 273,149 819,448 409,724 204,862 102,431 307,294 153,647 460,942 230,471 691,414 345,707 1,037,122 518,561 1,555,684 777,842

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