97,243,284

2² × 3 × 1291 × 6277

97,243,284 factors as 2^2 × 3 × 1291 × 6277. Its 24 positive divisors give a proper-divisor sum of 129,869,644, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 1291 × 6277

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 227,112,928

Proper Divisor Sum 129,869,644

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #97243283 ← → #97243291

Radix Representation

Decimal	97243284
Binary	101110010111101000010010100 (27 bits)
Octal	0o562750224
Hexadecimal	0x5CBD094

Divisor Catalog (24)

Collatz Trajectory (112 steps to reach 1)

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

97,243,284 48,621,642 24,310,821 72,932,464 36,466,232 18,233,116 9,116,558 4,558,279 13,674,838 6,837,419 20,512,258 10,256,129 30,768,388 15,384,194 7,692,097 23,076,292 11,538,146 5,769,073 17,307,220 8,653,610 4,326,805 12,980,416 6,490,208 3,245,104 1,622,552 811,276 405,638 202,819 608,458 304,229 912,688 456,344 228,172 114,086 57,043 171,130 85,565 256,696 128,348 64,174 32,087 96,262 48,131 144,394 72,197 216,592 108,296 54,148 27,074 13,537 40,612 20,306 10,153 30,460 15,230 7,615 22,846 11,423 34,270 17,135

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