292,716

2² × 3² × 47 × 173

292,716 factors as 2^2 × 3^2 × 47 × 173. Its 36 positive divisors give a proper-divisor sum of 467,316, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 47 × 173

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 760,032

Proper Divisor Sum 467,316

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #292711 ← → #292717

Radix Representation

Decimal	292716
Binary	1000111011101101100 (19 bits)
Octal	0o1073554
Hexadecimal	0x4776C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 47 94 141 173 188 282 346 423 519 564 692 846 1,038 1,557 1,692 2,076 3,114 6,228 8,131 16,262 24,393 32,524 48,786 73,179 97,572 146,358 292,716

Collatz Trajectory (127 steps to reach 1)

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

292,716 146,358 73,179 219,538 109,769 329,308 164,654 82,327 246,982 123,491 370,474 185,237 555,712 277,856 138,928 69,464 34,732 17,366 8,683 26,050 13,025 39,076 19,538 9,769 29,308 14,654 7,327 21,982 10,991 32,974 16,487 49,462 24,731 74,194 37,097 111,292 55,646 27,823 83,470 41,735 125,206 62,603 187,810 93,905 281,716 140,858 70,429 211,288 105,644 52,822 26,411 79,234 39,617 118,852 59,426 29,713 89,140 44,570 22,285 66,856

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