λ
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Atlas › Integer Profiles › Node 9,700,574

9,700,574

2 × 13 × 172 × 1291
Deficient Even Composite

9,700,574 factors as 2 × 13 × 17^2 × 1291. Its 24 positive divisors give a proper-divisor sum of 6,958,474, so this integer is deficient. The Collatz stopping time is 163 steps.

Prime Factor Structure

Factorization String 2 × 13 × 17^2 × 1291
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 16,659,048
Proper Divisor Sum 6,958,474
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9700573 ← → #9700577

Radix Representation

Decimal 9700574
Binary 100101000000010011011110 (24 bits)
Octal 0o45002336
Hexadecimal 0x9404DE

Divisor Catalog (24)

1 2 13 17 26 34 221 289 442 578 1,291 2,582 3,757 7,514 16,783 21,947 33,566 43,894 285,311 373,099 570,622 746,198 4,850,287 9,700,574

Collatz Trajectory (163 steps to reach 1)

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

9,700,574 4,850,287 14,550,862 7,275,431 21,826,294 10,913,147 32,739,442 16,369,721 49,109,164 24,554,582 12,277,291 36,831,874 18,415,937 55,247,812 27,623,906 13,811,953 41,435,860 20,717,930 10,358,965 31,076,896 15,538,448 7,769,224 3,884,612 1,942,306 971,153 2,913,460 1,456,730 728,365 2,185,096 1,092,548 546,274 273,137 819,412 409,706 204,853 614,560 307,280 153,640 76,820 38,410 19,205 57,616 28,808 14,404 7,202 3,601 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286

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