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9,752,157

34 × 120397
Deficient Odd Composite

9,752,157 factors as 3^4 × 120397. Its 10 positive divisors give a proper-divisor sum of 4,816,001, so this integer is deficient. The Collatz stopping time is 44 steps.

Prime Factor Structure

Factorization String 3^4 × 120397
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 14,568,158
Proper Divisor Sum 4,816,001
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9752153 ← → #9752167

Radix Representation

Decimal 9752157
Binary 100101001100111001011101 (24 bits)
Octal 0o45147135
Hexadecimal 0x94CE5D

Divisor Catalog (10)

1 3 9 27 81 120,397 361,191 1,083,573 3,250,719 9,752,157

Collatz Trajectory (44 steps to reach 1)

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

9,752,157 29,256,472 14,628,236 7,314,118 3,657,059 10,971,178 5,485,589 16,456,768 8,228,384 4,114,192 2,057,096 1,028,548 514,274 257,137 771,412 385,706 192,853 578,560 289,280 144,640 72,320 36,160 18,080 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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