λ
Ratio Atlas

97,021,031

97021031
Deficient Odd Prime

97,021,031 factors as 97021031. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 97021031
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 97,021,032
Proper Divisor Sum 1
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #97021021 ← → #97021033

Radix Representation

Decimal 97021031
Binary 101110010000110110001100111 (27 bits)
Octal 0o562066147
Hexadecimal 0x5C86C67

Divisor Catalog (2)

Collatz Trajectory (143 steps to reach 1)

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

97,021,031 291,063,094 145,531,547 436,594,642 218,297,321 654,891,964 327,445,982 163,722,991 491,168,974 245,584,487 736,753,462 368,376,731 1,105,130,194 552,565,097 1,657,695,292 828,847,646 414,423,823 1,243,271,470 621,635,735 1,864,907,206 932,453,603 2,797,360,810 1,398,680,405 4,196,041,216 2,098,020,608 1,049,010,304 524,505,152 262,252,576 131,126,288 65,563,144 32,781,572 16,390,786 8,195,393 24,586,180 12,293,090 6,146,545 18,439,636 9,219,818 4,609,909 13,829,728 6,914,864 3,457,432 1,728,716 864,358 432,179 1,296,538 648,269 1,944,808 972,404 486,202 243,101 729,304 364,652 182,326 91,163 273,490 136,745 410,236 205,118 102,559

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