97,367,181

3 × 29 × 73 × 15331

97,367,181 factors as 3 × 29 × 73 × 15331. Its 16 positive divisors give a proper-divisor sum of 38,780,979, so this integer is deficient. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 3 × 29 × 73 × 15331

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 136,148,160

Proper Divisor Sum 38,780,979

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #97367173 ← → #97367197

Radix Representation

Decimal	97367181
Binary	101110011011011010010001101 (27 bits)
Octal	0o563332215
Hexadecimal	0x5CDB48D

Divisor Catalog (16)

1 3 29 73 87 219 2,117 6,351 15,331 45,993 444,599 1,119,163 1,333,797 3,357,489 32,455,727 97,367,181

Collatz Trajectory (138 steps to reach 1)

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

97,367,181 292,101,544 146,050,772 73,025,386 36,512,693 109,538,080 54,769,040 27,384,520 13,692,260 6,846,130 3,423,065 10,269,196 5,134,598 2,567,299 7,701,898 3,850,949 11,552,848 5,776,424 2,888,212 1,444,106 722,053 2,166,160 1,083,080 541,540 270,770 135,385 406,156 203,078 101,539 304,618 152,309 456,928 228,464 114,232 57,116 28,558 14,279 42,838 21,419 64,258 32,129 96,388 48,194 24,097 72,292 36,146 18,073 54,220 27,110 13,555 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158

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